Systematic Quantum Cluster Typical Medium Method for the Study of Localization in Strongly Disordered Electronic Systems

Terletska, Hanna; Zhang, Yi; Tam, Ka -Ming; Berlijn, Tom; Chioncel, Liviu; Vidhyadhiraja, N.; Jarrell, Mark

doi:10.3390/app8122401

Title: Systematic Quantum Cluster Typical Medium Method for the Study of Localization in Strongly Disordered Electronic Systems

Journal Article · 25 November 2018 · Applied Sciences

DOI: https://doi.org/10.3390/app8122401 · OSTI ID:1484098

Terletska, Hanna ^[1]; Zhang, Yi ^[2]; Tam, Ka -Ming ^[2]; Berlijn, Tom ^[3];

^[4]; Vidhyadhiraja, N. ^[5]; Jarrell, Mark ^[2]

Middle Tennessee State Univ., Murfreesboro, TN (United States). Dept. of Physics and Astronomy. Computational Science Program
Louisiana State Univ., Baton Rouge, LA (United States). Dept. of Physics and Astronomy. Center for Computation and Technology
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences. Computer Science and Mathematics Division
Univ. of Augsburg (Germany). Augsburg Center for Innovative Technologies. Theoretical Physics III. Center for Electronic Correlations and Magnetism. Inst. of Physics
Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru (India). Theoretical Sciences Unit

Great progress has been made in recent years towards understanding the properties of disordered electronic systems. In part, this is made possible by recent advances in quantum effective medium methods which enable the study of disorder and electron-electronic interactions on equal footing. They include dynamical mean-field theory and the Coherent Potential Approximation, and their cluster extension, the dynamical cluster approximation. Despite their successes, these methods do not enable the first-principles study of the strongly disordered regime, including the effects of electronic localization. The main focus of this review is the recently developed typical medium dynamical cluster approximation for disordered electronic systems. This method has been constructed to capture disorder-induced localization and is based on a mapping of a lattice onto a quantum cluster embedded in an effective typical medium, which is determined self-consistently. Unlike the average effective medium-based methods mentioned above, typical medium-based methods properly capture the states localized by disorder. The typical medium dynamical cluster approximation not only provides the proper order parameter for Anderson localized states, but it can also incorporate the full complexity of Density-Functional Theory (DFT)-derived potentials into the analysis, including the effect of multiple bands, non-local disorder, and electron-electron interactions. After a brief historical review of other numerical methods for disordered systems, we discuss coarse-graining as a unifying principle for the development of translationally invariant quantum cluster methods. Together, the Coherent Potential Approximation, the Dynamical Mean-Field Theory and the Dynamical Cluster Approximation may be viewed as a single class of approximations with a much-needed small parameter of the inverse cluster size which may be used to control the approximation. We then present an overview of various recent applications of the typical medium dynamical cluster approximation to a variety of models and systems, including single and multiband Anderson model, and models with local and off-diagonal disorder. We then present the application of the method to realistic systems in the framework of the DFT and demonstrate that the resulting method can provide a systematic first-principles method validated by experiment and capable of making experimentally relevant predictions. We also discuss the application of the typical medium dynamical cluster approximation to systems with disorder and electron-electron interactions. Most significantly, we show that in the limits of strong disorder and weak interactions treated perturbatively, that the phenomena of 3D localization, including a mobility edge, remains intact. However, the metal-insulator transition is pushed to larger disorder values by the local interactions. We also study the limits of strong disorder and strong interactions capable of producing moment formation and screening, with a non-perturbative local approximation. Here, we find that the Anderson localization quantum phase transition is accompanied by a quantum-critical fan in the energy-disorder phase diagram.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Louisiana State Univ., Baton Rouge, LA (United States); Middle Tennessee State Univ., Murfreesboro, TN (United States); Univ. of Augsburg (Germany)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF) (United States); Louisiana Board of Regents (United States); German Research Foundation (DFG)

Grant/Contract Number:: AC05-00OR22725; SC0017861

OSTI ID:: 1484098

Journal Information:: Applied Sciences, Journal Name: Applied Sciences Journal Issue: 12 Vol. 8; ISSN 2076-3417

Publisher:: MDPICopyright Statement

Country of Publication:: United States

Language:: English

References (219)

A metallic intermediate band high efficiency solar cell: AN INTERMEDIATE BANDGAP HIGH EFFICIENCY SOLAR CELL Luque, Antonio; Martí, Antonio Progress in Photovoltaics: Research and Applications, Vol. 9, Issue 2 https://doi.org/10.1002/pip.354	journal	March 2001
Kernel Polynomial Approximations for Densities of States and Spectral Functions Silver, R. N.; Roeder, H.; Voter, A. F. Journal of Computational Physics, Vol. 124, Issue 1 https://doi.org/10.1006/jcph.1996.0048	journal	March 1996
Weak localization and coulomb interaction in disordered systems Finkel'stein, A. M. Zeitschrift f�r Physik B Condensed Matter, Vol. 56, Issue 3 https://doi.org/10.1007/BF01304171	journal	September 1984
Correlated fermions on a lattice in high dimensions M�ller-Hartmann, E. Zeitschrift f�r Physik B Condensed Matter, Vol. 74, Issue 4 https://doi.org/10.1007/BF01311397	journal	December 1989
Mobility edge in the three dimensional Anderson model Buŀka, B. R.; Kramer, B.; MacKinnon, A. Zeitschrift für Physik B Condensed Matter, Vol. 60, Issue 1 https://doi.org/10.1007/BF01312638	journal	March 1985
The Hubbard model at high dimensions: some exact results and weak coupling theory M�ller-Hartmann, E. Zeitschrift f�r Physik B Condensed Matter, Vol. 76, Issue 2 https://doi.org/10.1007/BF01312686	journal	June 1989
The mobility edge problem: Continuous symmetry and a conjecture Wegner, Franz Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 35, Issue 3 https://doi.org/10.1007/BF01319839	journal	September 1979
Eine statistische Methode zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendung auf die Theorie des periodischen Systems der Elemente Fermi, E. Zeitschrift f�r Physik, Vol. 48, Issue 1-2 https://doi.org/10.1007/BF01351576	journal	January 1928
The scaling theory of electrons in disordered solids: Additional numerical results MacKinnon, A.; Kramer, B. Zeitschrift für Physik B Condensed Matter, Vol. 53, Issue 1 https://doi.org/10.1007/BF01578242	journal	March 1983
Disordered system withn orbitals per site: Lagrange formulation, hyperbolic symmetry, and goldstone modes Schäfer, Lothar; Wegner, Franz Zeitschrift für Physik B Condensed Matter, Vol. 38, Issue 2 https://doi.org/10.1007/BF01598751	journal	June 1980
Magnetic and dynamic properties of the Hubbard model in infinite dimensions Jarrell, M.; Pruschke, Thomas Zeitschrift für Physik B Condensed Matter, Vol. 90, Issue 2 https://doi.org/10.1007/BF02198153	journal	June 1993
Bound states and critical behavior of the Yukawa potential Li, Yongyao; Luo, Xiangqian; Kröger, Helmut Science in China Series G, Vol. 49, Issue 1 https://doi.org/10.1007/s11433-004-0020-5	journal	January 2006
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices Davidson, Ernest R. Journal of Computational Physics, Vol. 17, Issue 1 https://doi.org/10.1016/0021-9991(75)90065-0	journal	January 1975
Metal-insulator transitions Paesler, Michael Journal of Non-Crystalline Solids, Vol. 130, Issue 1 https://doi.org/10.1016/0022-3093(91)90162-y	journal	June 1991
Zero bias anomaly in tunnel resistance and electron-electron interaction Altshuler, B. L.; Aronov, A. G. Solid State Communications, Vol. 30, Issue 3 https://doi.org/10.1016/0038-1098(79)90967-0	journal	April 1979
The local approximation for correlated systems on high dimensional lattices Zlatic, V.; Horvatic, B. Solid State Communications, Vol. 75, Issue 3 https://doi.org/10.1016/0038-1098(90)90282-G	journal	July 1990
The modern theory of alloys Faulkner, J. S. Progress in Materials Science, Vol. 27, Issue 1-2 https://doi.org/10.1016/0079-6425(82)90005-6	journal	January 1982
Weak localization in thin films Bergmann, Gerd Physics Reports, Vol. 107, Issue 1 https://doi.org/10.1016/0370-1573(84)90103-0	journal	May 1984
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data Jarrell, Mark; Gubernatis, J. E. Physics Reports, Vol. 269, Issue 3 https://doi.org/10.1016/0370-1573(95)00074-7	journal	May 1996
Density-functional tight-binding for beginners Koskinen, Pekka; Mäkinen, Ville Computational Materials Science, Vol. 47, Issue 1 https://doi.org/10.1016/j.commatsci.2009.07.013	journal	November 2009
JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices Bollhöfer, Matthias; Notay, Yvan Computer Physics Communications, Vol. 177, Issue 12 https://doi.org/10.1016/j.cpc.2007.08.004	journal	December 2007
Ab initio molecular simulations with numeric atom-centered orbitals Blum, Volker; Gehrke, Ralf; Hanke, Felix Computer Physics Communications, Vol. 180, Issue 11 https://doi.org/10.1016/j.cpc.2009.06.022	journal	November 2009
Quantum lattice model solver H Φ Kawamura, Mitsuaki; Yoshimi, Kazuyoshi; Misawa, Takahiro Computer Physics Communications, Vol. 217 https://doi.org/10.1016/j.cpc.2017.04.006	journal	August 2017
The calculation of atomic fields Thomas, L. H. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 23, Issue 5 https://doi.org/10.1017/S0305004100011683	journal	January 1927
Note on Exchange Phenomena in the Thomas Atom Dirac, P. A. M. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 26, Issue 3 https://doi.org/10.1017/S0305004100016108	journal	July 1930
Phonon localization drives polar nanoregions in a relaxor ferroelectric Manley, M. E.; Lynn, J. W.; Abernathy, D. L. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4683	journal	April 2014
Controlling the Curie temperature in (Ga,Mn)As through location of the Fermi level within the impurity band Dobrowolska, M.; Tivakornsasithorn, K.; Liu, X. Nature Materials, Vol. 11, Issue 5 https://doi.org/10.1038/nmat3250	journal	February 2012
Battle of the bands Samarth, Nitin Nature Materials, Vol. 11, Issue 5 https://doi.org/10.1038/nmat3317	journal	April 2012
Experimental probing of the interplay between ferromagnetism and localization in (Ga, Mn)As Sawicki, Maciej; Chiba, Daichi; Korbecka, Anna Nature Physics, Vol. 6, Issue 1 https://doi.org/10.1038/nphys1455	journal	November 2009
Hidden order revealed Flatté, Michael E. Nature Physics, Vol. 7, Issue 4 https://doi.org/10.1038/nphys1971	journal	April 2011
Gate-defined Josephson junctions in magic-angle twisted bilayer graphene de Vries, Folkert K.; Portolés, Elías; Zheng, Giulia Nature Nanotechnology, Vol. 16, Issue 7 https://doi.org/10.1038/s41565-021-00896-2	journal	May 2021
Lyapounov exponent of the one dimensional Anderson model : weak disorder expansions Derrida, B.; Gardner, E. Journal de Physique, Vol. 45, Issue 8 https://doi.org/10.1051/jphys:019840045080128300	journal	January 1984
Indication of ferromagnetism in molecular-beam-epitaxy-derived N-type GaMnN Overberg, Mark E.; Abernathy, Cammy R.; Pearton, Stephen J. Applied Physics Letters, Vol. 79, Issue 9 https://doi.org/10.1063/1.1397763	journal	August 2001
Paramagnetism and antiferromagnetic d–d coupling in GaMnN magnetic semiconductor Zając, M.; Gosk, J.; Kamińska, M. Applied Physics Letters, Vol. 79, Issue 15 https://doi.org/10.1063/1.1406558	journal	October 2001
Magnetic and transport characteristics on high Curie temperature ferromagnet of Mn-doped GaN Sasaki, Takahiko; Sonoda, Saki; Yamamoto, Yoshiyuki Journal of Applied Physics, Vol. 91, Issue 10 https://doi.org/10.1063/1.1451879	journal	January 2002
Diagonalization- and Numerical Renormalization-Group-Based Methods for Interacting Quantum Systems Noack, Reinhard M. LECTURES ON THE PHYSICS OF HIGHLY CORRELATED ELECTRON SYSTEMS IX: Ninth Training Course in the Physics of Correlated Electron Systems and High-Tc Superconductors, AIP Conference Proceedings https://doi.org/10.1063/1.2080349	conference	January 2005
Present status of the theory of the high-Tc cuprates Anderson, P. W. Low Temperature Physics, Vol. 32, Issue 4 https://doi.org/10.1063/1.2199427	journal	April 2006
Fifty years of Anderson localization Lagendijk, Ad; Tiggelen, Bart van; Wiersma, Diederik S. Physics Today, Vol. 62, Issue 8 https://doi.org/10.1063/1.3206091	journal	August 2009
Dynamical Mean-Field Theory of Electronic Correlations in Models and Materials Vollhardt, Dieter; Avella, Adolfo; Mancini, Ferdinando LECTURES ON THE PHYSICS OF STRONGLY CORRELATED SYSTEMS XIV: Fourteenth Training Course in the Physics of Strongly Correlated Systems, AIP Conference Proceedings https://doi.org/10.1063/1.3518901	conference	January 2010
Exact Diagonalization Methods for Quantum Systems Lin, H. Q.; Gubernatis, J. E.; Gould, Harvey Computers in Physics, Vol. 7, Issue 4 https://doi.org/10.1063/1.4823192	journal	January 1993
Intermediate band solar cells: Recent progress and future directions Okada, Y.; Ekins-Daukes, N. J.; Kita, T. Applied Physics Reviews, Vol. 2, Issue 2 https://doi.org/10.1063/1.4916561	journal	June 2015
Disordered Electronic Systems Al'tshuler, Boris L.; Lee, Patrick A. Physics Today, Vol. 41, Issue 12 https://doi.org/10.1063/1.881139	journal	December 1988
Electrons in disordered structures Mott, N. F. Advances in Physics, Vol. 16, Issue 61 https://doi.org/10.1080/00018736700101265	journal	January 1967
Anomalous normal-state properties of high- T _c superconductors: intrinsic properties of strongly correlated electron systems? Pruschke, Th.; Jarrell, M.; Freericks, J. K. Advances in Physics, Vol. 44, Issue 2 https://doi.org/10.1080/00018739500101526	journal	January 1995
The mobility edge as a spin-glass problem Aharony, A.; Imry, Y. Journal of Physics C: Solid State Physics, Vol. 10, Issue 17 https://doi.org/10.1088/0022-3719/10/17/005	journal	September 1977
Finite size scaling approach to Anderson localisation Pichard, J. L.; Sarma, G. Journal of Physics C: Solid State Physics, Vol. 14, Issue 6 https://doi.org/10.1088/0022-3719/14/6/003	journal	February 1981
The one-dimensional Anderson model: scaling and resonances revisited Pichard, J. L. Journal of Physics C: Solid State Physics, Vol. 19, Issue 10 https://doi.org/10.1088/0022-3719/19/10/009	journal	April 1986
Numerical studies of localization in disordered systems Edwards, J. T.; Thouless, D. J. Journal of Physics C: Solid State Physics, Vol. 5, Issue 8 https://doi.org/10.1088/0022-3719/5/8/007	journal	April 1972
Coulomb gap and low temperature conductivity of disordered systems Efros, A. L.; Shklovskii, B. I. Journal of Physics C: Solid State Physics, Vol. 8, Issue 4 https://doi.org/10.1088/0022-3719/8/4/003	journal	February 1975
Weak Localization in Thin Films Bergmann, G. Physica Scripta, Vol. T14 https://doi.org/10.1088/0031-8949/1986/t14/017	journal	January 1986
Localization: theory and experiment Kramer, B.; MacKinnon, A. Reports on Progress in Physics, Vol. 56, Issue 12 https://doi.org/10.1088/0034-4885/56/12/001	journal	December 1993
A Novel Large Moment Antiferromagnetic Order in K _0.8 Fe _1.6 Se ₂ Superconductor Bao, Wei; Huang, Qing-Zhen; Chen, Gen-Fu Chinese Physics Letters, Vol. 28, Issue 8 https://doi.org/10.1088/0256-307X/28/8/086104	journal	August 2011
Theory of spin glasses Edwards, S. F.; Anderson, P. W. Journal of Physics F: Metal Physics, Vol. 5, Issue 5 https://doi.org/10.1088/0305-4608/5/5/017	journal	May 1975
The Basis of the Electron Theory of Metals, with Special Reference to the Transition Metals Mott, N. F. Proceedings of the Physical Society. Section A, Vol. 62, Issue 7 https://doi.org/10.1088/0370-1298/62/7/303	journal	July 1949
The SIESTA method for ab initio order- N materials simulation Soler, José M.; Artacho, Emilio; Gale, Julian D. Journal of Physics: Condensed Matter, Vol. 14, Issue 11 https://doi.org/10.1088/0953-8984/14/11/302	journal	March 2002
A local moment approach to the degenerate Anderson impurity model Galpin, Martin R.; Gilbert, Anne B.; Logan, David E. Journal of Physics: Condensed Matter, Vol. 21, Issue 37 https://doi.org/10.1088/0953-8984/21/37/375602	journal	August 2009
Effective cluster typical medium theory for the diagonal Anderson disorder model in one- and two-dimensions Ekuma, Chinedu E.; Terletska, Hanna; Meng, Zi Yang Journal of Physics: Condensed Matter, Vol. 26, Issue 27 https://doi.org/10.1088/0953-8984/26/27/274209	journal	June 2014
Electronic structure, thermodynamic and thermal properties of Ni-Al disordered alloys from LMTO-CPA-DFT calculations Abrikosov, I. A.; Ruban, A. V.; Kats, D. Ya Journal of Physics: Condensed Matter, Vol. 5, Issue 9 https://doi.org/10.1088/0953-8984/5/9/012	journal	March 1993
Kondo disorder: a possible route towards non-Fermi-liquid behaviour Miranda, E.; Dobrosavljevic, V.; Kotliar, G. Journal of Physics: Condensed Matter, Vol. 8, Issue 48 https://doi.org/10.1088/0953-8984/8/48/014	journal	November 1996
Fe/Co doped molybdenum diselenide: a promising two-dimensional intermediate-band photovoltaic material Zhang, Jiajia; He, Haiyan; Pan, Bicai Nanotechnology, Vol. 26, Issue 19 https://doi.org/10.1088/0957-4484/26/19/195401	journal	April 2015
Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class Slevin, Keith; Ohtsuki, Tomi New Journal of Physics, Vol. 16, Issue 1 https://doi.org/10.1088/1367-2630/16/1/015012	journal	January 2014
Noncommuting random products Furstenberg, Harry Transactions of the American Mathematical Society, Vol. 108, Issue 3 https://doi.org/10.1090/S0002-9947-1963-0163345-0	journal	March 1963
The principle of minimized iterations in the solution of the matrix eigenvalue problem Arnoldi, W. E. Quarterly of Applied Mathematics, Vol. 9, Issue 1 https://doi.org/10.1090/qam/42792	journal	January 1951
Electron correlations in narrow energy bands Hubbard, J. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 276, Issue 1365, p. 238-257 https://doi.org/10.1098/rspa.1963.0204	journal	November 1963
Absence of Diffusion in Certain Random Lattices Anderson, P. W. Physical Review, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRev.109.1492	journal	March 1958
Theory of Impurity Resistance in Metals Langer, J. S. Physical Review, Vol. 120, Issue 3 https://doi.org/10.1103/PhysRev.120.714	journal	November 1960
Conservation Laws and Correlation Functions Baym, Gordon; Kadanoff, Leo P. Physical Review, Vol. 124, Issue 2 https://doi.org/10.1103/PhysRev.124.287	journal	October 1961
Self-Consistent Approximations in Many-Body Systems Baym, Gordon Physical Review, Vol. 127, Issue 4 https://doi.org/10.1103/PhysRev.127.1391	journal	August 1962
Vibrational Properties of Imperfect Crystals with Large Defect Concentrations Taylor, D. W. Physical Review, Vol. 156, Issue 3 https://doi.org/10.1103/PhysRev.156.1017	journal	April 1967
Coherent-Potential Model of Substitutional Disordered Alloys Soven, Paul Physical Review, Vol. 156, Issue 3 https://doi.org/10.1103/PhysRev.156.809	journal	April 1967
Single-Site Approximations in the Electronic Theory of Simple Binary Alloys Velický, B.; Kirkpatrick, S.; Ehrenreich, H. Physical Review, Vol. 175, Issue 3 https://doi.org/10.1103/PhysRev.175.747	journal	November 1968
Diagrammatic, self-consistent treatment of the Anderson localization problem in d ≤ 2 dimensions Vollhardt, D.; Wölfle, P. Physical Review B, Vol. 22, Issue 10 https://doi.org/10.1103/PhysRevB.22.4666	journal	November 1980
Interaction-driven metal-insulator transitions in disordered fermion systems Castellani, C.; Di Castro, C.; Lee, P. A. Physical Review B, Vol. 30, Issue 2 https://doi.org/10.1103/PhysRevB.30.527	journal	July 1984
Localization transition on the Bethe lattice Zirnbauer, Martin R. Physical Review B, Vol. 34, Issue 9 https://doi.org/10.1103/PhysRevB.34.6394	journal	November 1986
Ground-state energy of the d= 1,2,3 dimensional Hubbard model in the weak-coupling limit Metzner, Walter; Vollhardt, Dieter Physical Review B, Vol. 39, Issue 7 https://doi.org/10.1103/PhysRevB.39.4462	journal	March 1989
Generalized Locator—Coherent-Potential Approach to Binary Alloys Blackman, J. A.; Esterling, D. M.; Berk, N. F. Physical Review B, Vol. 4, Issue 8 https://doi.org/10.1103/PhysRevB.4.2412	journal	October 1971
Density-functional calculation of effective Coulomb interactions in metals Anisimov, V. I.; Gunnarsson, O. Physical Review B, Vol. 43, Issue 10, p. 7570-7574 https://doi.org/10.1103/PhysRevB.43.7570	journal	April 1991
Expansions of nonequilibrium Green’s functions Wagner, Mathias Physical Review B, Vol. 44, Issue 12 https://doi.org/10.1103/PhysRevB.44.6104	journal	September 1991
First-principles calculation of stacking-fault energies in substitutionally disordered alloys MacLaren, J. M.; Gonis, A.; Schadler, G. Physical Review B, Vol. 45, Issue 24 https://doi.org/10.1103/PhysRevB.45.14392	journal	June 1992
Hubbard model in infinite dimensions Georges, Antoine; Kotliar, Gabriel Physical Review B, Vol. 45, Issue 12 https://doi.org/10.1103/PhysRevB.45.6479	journal	March 1992
Self-consistent Green’s-function method for random overlayers Kudrnovský, J.; Turek, I.; Drchal, V. Physical Review B, Vol. 46, Issue 7 https://doi.org/10.1103/PhysRevB.46.4222	journal	August 1992
Self-consistent linear-muffin-tin-orbitals coherent-potential technique for bulk and surface calculations: Cu-Ni, Ag-Pd, and Au-Pt random alloys Abrikosov, I. A.; Skriver, H. L. Physical Review B, Vol. 47, Issue 24 https://doi.org/10.1103/PhysRevB.47.16532	journal	June 1993
Local moment disorder in ferromagnetic alloys Akai, H.; Dederichs, P. H. Physical Review B, Vol. 47, Issue 14 https://doi.org/10.1103/PhysRevB.47.8739	journal	April 1993
Inclusion of charge correlations in calculations of the energetics and electronic structure for random substitutional alloys Johnson, D. D.; Pinski, F. J. Physical Review B, Vol. 48, Issue 16 https://doi.org/10.1103/PhysRevB.48.11553	journal	October 1993
Critical behavior of the density of states at the metal-insulator transition Belitz, D.; Kirkpatrick, T. R. Physical Review B, Vol. 48, Issue 19 https://doi.org/10.1103/PhysRevB.48.14072	journal	November 1993
First-principles study of surface segregation in Cu-Ni alloys Pasturel, A.; Drchal, V.; Kudrnovský, J. Physical Review B, Vol. 48, Issue 4 https://doi.org/10.1103/PhysRevB.48.2704	journal	July 1993
Holstein model in infinite dimensions Freericks, J. K.; Jarrell, M.; Scalapino, D. J. Physical Review B, Vol. 48, Issue 9 https://doi.org/10.1103/PhysRevB.48.6302	journal	September 1993
Calculating the density of states and optical-absorption spectra of large quantum systems by the plane-wave moments method Wang, Lin-Wang Physical Review B, Vol. 49, Issue 15 https://doi.org/10.1103/PhysRevB.49.10154	journal	April 1994
Self-consistent electronic structure and segregation profiles of the Cu-Ni (001) random-alloy surface Ruban, A. V.; Abrikosov, I. A.; Kats, D. Ya. Physical Review B, Vol. 49, Issue 16 https://doi.org/10.1103/PhysRevB.49.11383	journal	April 1994
Itinerant magnetism of disordered Fe-Co and Ni-Cu alloys in two and three dimensions Turek, I.; Kudrnovský, J.; Drchal, V. Physical Review B, Vol. 49, Issue 5 https://doi.org/10.1103/PhysRevB.49.3352	journal	February 1994
Coherent-Potential Approximation for a Nonoverlapping-Muffin-Tin-Potential Model of Random Substitutional Alloys Gyorffy, B. L. Physical Review B, Vol. 5, Issue 6 https://doi.org/10.1103/PhysRevB.5.2382	journal	March 1972
Existence of Mobility Edges in Anderson's Model for Random Lattices Economou, E. N.; Cohen, Morrel H. Physical Review B, Vol. 5, Issue 8 https://doi.org/10.1103/PhysRevB.5.2931	journal	April 1972
Possible metal-insulator transition at B =0 in two dimensions Kravchenko, S. V.; Kravchenko, G. V.; Furneaux, J. E. Physical Review B, Vol. 50, Issue 11 https://doi.org/10.1103/PhysRevB.50.8039	journal	September 1994
Theoretical aspects of the Fe c Ni 1 − c Invar alloy Abrikosov, I. A.; Eriksson, O.; Söderlind, P. Physical Review B, Vol. 51, Issue 2 https://doi.org/10.1103/PhysRevB.51.1058	journal	January 1995
Ground-state properties of ordered, partially ordered, and random Cu-Au and Ni-Pt alloys Ruban, A. V.; Abrikosov, I. A.; Skriver, H. L. Physical Review B, Vol. 51, Issue 19 https://doi.org/10.1103/PhysRevB.51.12958	journal	May 1995
Madelung energy for random metallic alloys in the coherent potential approximation Korzhavyi, P. A.; Ruban, A. V.; Abrikosov, I. A. Physical Review B, Vol. 51, Issue 9 https://doi.org/10.1103/PhysRevB.51.5773	journal	March 1995
Scaling of an anomalous metal-insulator transition in a two-dimensional system in silicon at B =0 Kravchenko, S. V.; Mason, Whitney E.; Bowker, G. E. Physical Review B, Vol. 51, Issue 11 https://doi.org/10.1103/PhysRevB.51.7038	journal	March 1995
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures Altland, Alexander; Zirnbauer, Martin R. Physical Review B, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevB.55.1142	journal	January 1997
Maximally localized generalized Wannier functions for composite energy bands Marzari, Nicola; Vanderbilt, David Physical Review B, Vol. 56, Issue 20 https://doi.org/10.1103/PhysRevB.56.12847	journal	November 1997
First-principles investigation of phase stability in Li x CoO 2 Van der Ven, A.; Aydinol, M. K.; Ceder, G. Physical Review B, Vol. 58, Issue 6 https://doi.org/10.1103/PhysRevB.58.2975	journal	August 1998
Nonlocal dynamical correlations of strongly interacting electron systems Hettler, M. H.; Tahvildar-Zadeh, A. N.; Jarrell, M. Physical Review B, Vol. 58, Issue 12 https://doi.org/10.1103/PhysRevB.58.R7475	journal	September 1998
Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems Hettler, M. H.; Mukherjee, M.; Jarrell, M. Physical Review B, Vol. 61, Issue 19 https://doi.org/10.1103/PhysRevB.61.12739	journal	May 2000
Systematic and causal corrections to the coherent potential approximation Jarrell, M.; Krishnamurthy, H. R. Physical Review B, Vol. 63, Issue 12 https://doi.org/10.1103/PhysRevB.63.125102	journal	March 2001
Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors Dietl, T.; Ohno, H.; Matsukura, F. Physical Review B, Vol. 63, Issue 19 https://doi.org/10.1103/PhysRevB.63.195205	journal	April 2001
Quantum Monte Carlo algorithm for nonlocal corrections to the dynamical mean-field approximation Jarrell, M.; Maier, Th.; Huscroft, C. Physical Review B, Vol. 64, Issue 19 https://doi.org/10.1103/PhysRevB.64.195130	journal	October 2001
Numerical atomic orbitals for linear-scaling calculations Junquera, Javier; Paz, Óscar; Sánchez-Portal, Daniel Physical Review B, Vol. 64, Issue 23 https://doi.org/10.1103/PhysRevB.64.235111	journal	November 2001
Observation of spin-glass behavior in homogeneous (Ga,Mn)N layers grown by reactive molecular-beam epitaxy Dhar, S.; Brandt, O.; Trampert, A. Physical Review B, Vol. 67, Issue 16 https://doi.org/10.1103/PhysRevB.67.165205	journal	April 2003
Frequency-dependent local interactions and low-energy effective models from electronic structure calculations Aryasetiawan, F.; Imada, M.; Georges, A. Physical Review B, Vol. 70, Issue 19 https://doi.org/10.1103/PhysRevB.70.195104	journal	November 2004
Full orbital calculation scheme for materials with strongly correlated electrons Anisimov, V. I.; Kondakov, D. E.; Kozhevnikov, A. V. Physical Review B, Vol. 71, Issue 12 https://doi.org/10.1103/PhysRevB.71.125119	journal	March 2005
Efficient calculation of the antiferromagnetic phase diagram of the three-dimensional Hubbard model Kent, P. R. C.; Jarrell, M.; Maier, T. A. Physical Review B, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevB.72.060411	journal	August 2005
Scaling behavior of an Anderson impurity close to the Mott-Anderson transition Aguiar, M. C. O.; Dobrosavljević, V.; Abrahams, E. Physical Review B, Vol. 73, Issue 11 https://doi.org/10.1103/PhysRevB.73.115117	journal	March 2006
Weak localization in Ga 1 − x Mn x As : Evidence of impurity band transport Rokhinson, L. P.; Lyanda-Geller, Y.; Ge, Z. Physical Review B, Vol. 76, Issue 16 https://doi.org/10.1103/PhysRevB.76.161201	journal	October 2007
Classification of topological insulators and superconductors in three spatial dimensions Schnyder, Andreas P.; Ryu, Shinsei; Furusaki, Akira Physical Review B, Vol. 78, Issue 19 https://doi.org/10.1103/PhysRevB.78.195125	journal	November 2008
Influence of disorder on incoherent transport near the Mott transition Radonjić, Miloš M.; Tanasković, D.; Dobrosavljević, V. Physical Review B, Vol. 81, Issue 7 https://doi.org/10.1103/PhysRevB.81.075118	journal	February 2010
Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions Schubert, Gerald; Schleede, Jens; Byczuk, Krzysztof Physical Review B, Vol. 81, Issue 15 https://doi.org/10.1103/PhysRevB.81.155106	journal	April 2010
Superconductivity in the iron selenide K x Fe 2 Se 2 ( 0 ≤ x ≤ 1.0 ) Guo, Jiangang; Jin, Shifeng; Wang, Gang Physical Review B, Vol. 82, Issue 18 https://doi.org/10.1103/PhysRevB.82.180520	journal	November 2010
Wigner-Mott scaling of transport near the two-dimensional metal-insulator transition Radonjić, M. M.; Tanasković, D.; Dobrosavljević, V. Physical Review B, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevB.85.085133	journal	February 2012
Dual fermion method for disordered electronic systems Terletska, H.; Yang, S. -X.; Meng, Z. Y. Physical Review B, Vol. 87, Issue 13 https://doi.org/10.1103/PhysRevB.87.134208	journal	April 2013
Phase diagram and critical behavior of the random ferromagnet Ga 1 − x Mn x N Stefanowicz, S.; Kunert, G.; Simserides, C. Physical Review B, Vol. 88, Issue 8 https://doi.org/10.1103/PhysRevB.88.081201	journal	August 2013
Doping effects of Se vacancies in monolayer FeSe Berlijn, Tom; Cheng, Hai-Ping; Hirschfeld, P. J. Physical Review B, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevB.89.020501	journal	January 2014
Typical medium dynamical cluster approximation for the study of Anderson localization in three dimensions Ekuma, C. E.; Terletska, H.; Tam, K. -M. Physical Review B, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevB.89.081107	journal	February 2014
Study of off-diagonal disorder using the typical medium dynamical cluster approximation Terletska, H.; Ekuma, C. E.; Moore, C. Physical Review B, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevB.90.094208	journal	September 2014
Heavy-impurity resonance, hybridization, and phonon spectral functions in Fe 1 − x M x Si ( M = Ir , Os ) Delaire, O.; Al-Qasir, I. I.; May, A. F. Physical Review B, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevB.91.094307	journal	March 2015
Finite-size scaling and multifractality at the Anderson transition for the three Wigner-Dyson symmetry classes in three dimensions Ujfalusi, László; Varga, Imre Physical Review B, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevB.91.184206	journal	May 2015
Finite-cluster typical medium theory for disordered electronic systems Ekuma, C. E.; Moore, C.; Terletska, H. Physical Review B, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevB.92.014209	journal	July 2015
Metal-insulator transition in a weakly interacting disordered electron system Ekuma, C. E.; Yang, S. -X.; Terletska, H. Physical Review B, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevB.92.201114	journal	November 2015
Study of multiband disordered systems using the typical medium dynamical cluster approximation Zhang, Yi; Terletska, Hanna; Moore, C. Physical Review B, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevB.92.205111	journal	November 2015
Generalized multiband typical medium dynamical cluster approximation: Application to (Ga,Mn)N Zhang, Yi; Nelson, R.; Siddiqui, Elisha Physical Review B, Vol. 94, Issue 22 https://doi.org/10.1103/PhysRevB.94.224208	journal	December 2016
Local theory for Mott-Anderson localization Sen, Sudeshna; Terletska, Hanna; Moreno, Juana Physical Review B, Vol. 94, Issue 23 https://doi.org/10.1103/PhysRevB.94.235104	journal	December 2016
Typical-medium multiple-scattering theory for disordered systems with Anderson localization Terletska, H.; Zhang, Y.; Chioncel, L. Physical Review B, Vol. 95, Issue 13 https://doi.org/10.1103/PhysRevB.95.134204	journal	April 2017
Calculation of two-particle quantities in the typical medium dynamical cluster approximation Zhang, Y.; Zhang, Y. F.; Yang, S. X. Physical Review B, Vol. 95, Issue 14 https://doi.org/10.1103/PhysRevB.95.144208	journal	April 2017
Emergence of non-Fermi liquid dynamics through nonlocal correlations in an interacting disordered system Sen, Sudeshna; Vidhyadhiraja, N. S.; Jarrell, Mark Physical Review B, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevB.98.075112	journal	August 2018
Calculation of densities of states and spectral functions by Chebyshev recursion and maximum entropy Silver, R. N.; Röder, H. Physical Review E, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevE.56.4822	journal	October 1997
Topological Anderson Insulator Li, Jian; Chu, Rui-Lin; Jain, J. K. Physical Review Letters, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevLett.102.136806	journal	April 2009
Critical Behavior at the Mott-Anderson Transition: A Typical-Medium Theory Perspective Aguiar, M. C. O.; Dobrosavljević, V.; Abrahams, E. Physical Review Letters, Vol. 102, Issue 15 https://doi.org/10.1103/PhysRevLett.102.156402	journal	April 2009
Critical Parameters from a Generalized Multifractal Analysis at the Anderson Transition Rodriguez, Alberto; Vasquez, Louella J.; Slevin, Keith Physical Review Letters, Vol. 105, Issue 4 https://doi.org/10.1103/PhysRevLett.105.046403	journal	July 2010
Topological Anderson Insulator in Three Dimensions Guo, H. -M.; Rosenberg, G.; Refael, G. Physical Review Letters, Vol. 105, Issue 21 https://doi.org/10.1103/PhysRevLett.105.216601	journal	November 2010
Can Disorder Alone Destroy the e g ′ Hole Pockets of Na x CoO 2 ? A Wannier Function Based First-Principles Method for Disordered Systems Berlijn, Tom; Volja, Dmitri; Ku, Wei Physical Review Letters, Vol. 106, Issue 7 https://doi.org/10.1103/PhysRevLett.106.077005	journal	February 2011
Do Transition-Metal Substitutions Dope Carriers in Iron-Based Superconductors? Berlijn, Tom; Lin, Chia-Hui; Garber, William Physical Review Letters, Vol. 108, Issue 20 https://doi.org/10.1103/PhysRevLett.108.207003	journal	May 2012
Effective Doping and Suppression of Fermi Surface Reconstruction via Fe Vacancy Disorder in K x Fe 2 − y Se 2 Berlijn, Tom; Hirschfeld, P. J.; Ku, Wei Physical Review Letters, Vol. 109, Issue 14 https://doi.org/10.1103/PhysRevLett.109.147003	journal	October 2012
Effects of Disordered Ru Substitution in BaFe 2 As 2 : Possible Realization of Superdiffusion in Real Materials Wang, Limin; Berlijn, Tom; Wang, Yan Physical Review Letters, Vol. 110, Issue 3 https://doi.org/10.1103/PhysRevLett.110.037001	journal	January 2013
Real-Space Calculation of the Conductivity Tensor for Disordered Topological Matter García, Jose H.; Covaci, Lucian; Rappoport, Tatiana G. Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.116602	journal	March 2015
What is the Valence of Mn in Ga 1 − x Mn x N ? Nelson, Ryky; Berlijn, Tom; Moreno, Juana Physical Review Letters, Vol. 115, Issue 19 https://doi.org/10.1103/PhysRevLett.115.197203	journal	November 2015
Breakdown of the Concentration Expansion for the Impurity Resistivity of Metals Langer, J. S.; Neal, T. Physical Review Letters, Vol. 16, Issue 22 https://doi.org/10.1103/PhysRevLett.16.984	journal	May 1966
Simple Band Model for Amorphous Semiconducting Alloys Cohen, Morrel H.; Fritzsche, H.; Ovshinsky, S. R. Physical Review Letters, Vol. 22, Issue 20 https://doi.org/10.1103/PhysRevLett.22.1065	journal	May 1969
Constancy of Minimum Metallic Conductivity in Two Dimensions Licciardello, D. C.; Thouless, D. J. Physical Review Letters, Vol. 35, Issue 21 https://doi.org/10.1103/PhysRevLett.35.1475	journal	November 1975
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions Abrahams, E.; Anderson, P. W.; Licciardello, D. C. Physical Review Letters, Vol. 42, Issue 10 https://doi.org/10.1103/PhysRevLett.42.673	journal	March 1979
Scaling Equations from a Self-Consistent Theory of Anderson Localization Vollhardt, D.; Wölfle, P. Physical Review Letters, Vol. 48, Issue 10 https://doi.org/10.1103/PhysRevLett.48.699	journal	March 1982
Concentration Waves and Fermi Surfaces in Random Metallic Alloys Gyorffy, B. L.; Stocks, G. M. Physical Review Letters, Vol. 50, Issue 5 https://doi.org/10.1103/PhysRevLett.50.374	journal	January 1983
Density-Functional Theory for Random Alloys: Total Energy within the Coherent-Potential Approximation Johnson, D. D.; Nicholson, D. M.; Pinski, F. J. Physical Review Letters, Vol. 56, Issue 19 https://doi.org/10.1103/PhysRevLett.56.2088	journal	May 1986
Correlated Lattice Fermions in d = ∞ Dimensions Metzner, Walter; Vollhardt, Dieter Physical Review Letters, Vol. 62, Issue 3 https://doi.org/10.1103/PhysRevLett.62.324	journal	January 1989
Hubbard model in infinite dimensions: A quantum Monte Carlo study Jarrell, M. Physical Review Letters, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevLett.69.168	journal	July 1992
Periodic Anderson model in infinite dimensions Jarrell, M.; Akhlaghpour, Hossein; Pruschke, Th. Physical Review Letters, Vol. 70, Issue 11 https://doi.org/10.1103/PhysRevLett.70.1670	journal	March 1993
Toward a unified approach to the study of metallic alloys: Application to the phase stability of Ni-Pt Singh, Prabhakar P.; Gonis, A.; Turchi, P. E. A. Physical Review Letters, Vol. 71, Issue 10 https://doi.org/10.1103/PhysRevLett.71.1605	journal	September 1993
Distribution of local densities of states, order parameter function, and critical behavior near the Anderson transition Mirlin, Alexander D.; Fyodorov, Yan V. Physical Review Letters, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevLett.72.526	journal	January 1994
Commensurate and Incommensurate Ordering Tendencies in the Ternary fcc Cu-Ni-Zn System Althoff, J. D.; Johnson, D. D.; Pinski, F. J. Physical Review Letters, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevLett.74.138	journal	January 1995
Two-Channel Kondo Lattice: An Incoherent Metal Jarrell, Mark; Pang, Hanbin; Cox, D. L. Physical Review Letters, Vol. 77, Issue 8 https://doi.org/10.1103/PhysRevLett.77.1612	journal	August 1996
Disorder-Driven Non-Fermi-Liquid Behavior in Kondo Alloys Miranda, E.; Dobrosavljević, V.; Kotliar, G. Physical Review Letters, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevLett.78.290	journal	January 1997
Scaling Theory of Two-Dimensional Metal-Insulator Transitions Dobrosavljević, V.; Abrahams, Elihu; Miranda, E. Physical Review Letters, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevLett.79.455	journal	July 1997
Meron-Cluster Solution of Fermion Sign Problems Chandrasekharan, Shailesh; Wiese, Uwe-Jens Physical Review Letters, Vol. 83, Issue 16 https://doi.org/10.1103/PhysRevLett.83.3116	journal	October 1999
Anisotropic Lattice Distortions in Random Alloys from First-Principles Theory Vitos, L.; Abrikosov, I. A.; Johansson, B. Physical Review Letters, Vol. 87, Issue 15 https://doi.org/10.1103/PhysRevLett.87.156401	journal	September 2001
Cellular Dynamical Mean Field Approach to Strongly Correlated Systems Kotliar, Gabriel; Savrasov, Sergej Y.; Pálsson, Gunnar Physical Review Letters, Vol. 87, Issue 18 https://doi.org/10.1103/PhysRevLett.87.186401	journal	October 2001
Insulating Ferromagnetism in L a 4 B a 2 C u 2 O 10 : An Ab Initio Wannier Function Analysis Ku, Wei; Rosner, H.; Pickett, W. E. Physical Review Letters, Vol. 89, Issue 16 https://doi.org/10.1103/PhysRevLett.89.167204	journal	September 2002
Disorder Screening in Strongly Correlated Systems Tanasković, D.; Dobrosavljević, V.; Abrahams, E. Physical Review Letters, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevLett.91.066603	journal	August 2003
Mott-Hubbard Transition versus Anderson Localization in Correlated Electron Systems with Disorder Byczuk, Krzysztof; Hofstetter, Walter; Vollhardt, Dieter Physical Review Letters, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevLett.94.056404	journal	February 2005
Systematic Study of d -Wave Superconductivity in the 2D Repulsive Hubbard Model Maier, T. A.; Jarrell, M.; Schulthess, T. C. Physical Review Letters, Vol. 95, Issue 23 https://doi.org/10.1103/PhysRevLett.95.237001	journal	November 2005
Metal-Insulator Transition Mott, N. F. Reviews of Modern Physics, Vol. 40, Issue 4 https://doi.org/10.1103/RevModPhys.40.677	journal	October 1968
The theory and properties of randomly disordered crystals and related physical systems Elliott, R. J.; Krumhansl, J. A.; Leath, P. L. Reviews of Modern Physics, Vol. 46, Issue 3 https://doi.org/10.1103/RevModPhys.46.465	journal	July 1974
Disordered electronic systems Lee, Patrick A.; Ramakrishnan, T. V. Reviews of Modern Physics, Vol. 57, Issue 2 https://doi.org/10.1103/RevModPhys.57.287	journal	April 1985
Quantum field-theoretical methods in transport theory of metals Rammer, J.; Smith, H. Reviews of Modern Physics, Vol. 58, Issue 2 https://doi.org/10.1103/RevModPhys.58.323	journal	April 1986
The Anderson-Mott transition Belitz, D.; Kirkpatrick, T. R. Reviews of Modern Physics, Vol. 66, Issue 2 https://doi.org/10.1103/RevModPhys.66.261	journal	April 1994
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions Georges, Antoine; Kotliar, Gabriel; Krauth, Werner Reviews of Modern Physics, Vol. 68, Issue 1 https://doi.org/10.1103/RevModPhys.68.13	journal	January 1996
Metal-insulator transitions Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263 https://doi.org/10.1103/RevModPhys.70.1039	journal	October 1998
Quantum cluster theories Maier, Thomas; Jarrell, Mark; Pruschke, Thomas Reviews of Modern Physics, Vol. 77, Issue 3 https://doi.org/10.1103/RevModPhys.77.1027	journal	October 2005
The kernel polynomial method Weiße, Alexander; Wellein, Gerhard; Alvermann, Andreas Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.275	journal	March 2006
Theory of ferromagnetic (III,Mn)V semiconductors Jungwirth, T.; Sinova, Jairo; Mašek, J. Reviews of Modern Physics, Vol. 78, Issue 3 https://doi.org/10.1103/RevModPhys.78.809	journal	August 2006
Electronic structure calculations with dynamical mean-field theory Kotliar, G.; Savrasov, S. Y.; Haule, K. Reviews of Modern Physics, Vol. 78, Issue 3 https://doi.org/10.1103/RevModPhys.78.865	journal	August 2006
Anderson transitions Evers, Ferdinand; Mirlin, Alexander D. Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1355	journal	October 2008
Numerical renormalization group method for quantum impurity systems Bulla, Ralf; Costi, Theo A.; Pruschke, Thomas Reviews of Modern Physics, Vol. 80, Issue 2 https://doi.org/10.1103/RevModPhys.80.395	journal	April 2008
Continuous-time Monte Carlo methods for quantum impurity models Gull, Emanuel; Millis, Andrew J.; Lichtenstein, Alexander I. Reviews of Modern Physics, Vol. 83, Issue 2 https://doi.org/10.1103/RevModPhys.83.349	journal	May 2011
Classification of topological quantum matter with symmetries Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P. Reviews of Modern Physics, Vol. 88, Issue 3 https://doi.org/10.1103/RevModPhys.88.035005	journal	August 2016
Correlated Lattice Fermions in d = ∞ Dimensions Metzner, Walter; Vollhardt, Dieter Physical Review Letters, Vol. 62, Issue 9 https://doi.org/10.1103/physrevlett.62.1066.2	journal	February 1989
Complexity in Strongly Correlated Electronic Systems Dagotto, E. Science, Vol. 309, Issue 5732 https://doi.org/10.1126/science.1107559	journal	July 2005
An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations Dupont, Todd; Kendall, Richard P.; Rachford, Jr., H. H. SIAM Journal on Numerical Analysis, Vol. 5, Issue 3 https://doi.org/10.1137/0705045	journal	September 1968
Estimation of zero-temperature properties of quantum spin systems on the simple cubic lattice via exact diagonalization on finite lattices Betts, D. D.; Stewart, G. E. Canadian Journal of Physics, Vol. 75, Issue 1 https://doi.org/10.1139/p96-129	journal	January 1997
Improved finite-lattice estimates of the properties of two quantum spin models on the infinite square lattice Betts, D. D.; Lin, H. Q.; Flynn, J. S. Canadian Journal of Physics, Vol. 77, Issue 5 https://doi.org/10.1139/p99-041	journal	September 1999
Chebyshev expansion approach to the AC conductivity of the Anderson model Weisse, A. The European Physical Journal B, Vol. 40, Issue 2 https://doi.org/10.1140/epjb/e2004-00250-6	journal	August 2004
Correlated electrons in the presence of disorder Byczuk, K.; Hofstetter, W.; Yu, U. The European Physical Journal Special Topics, Vol. 180, Issue 1 https://doi.org/10.1140/epjst/e2010-01215-2	journal	December 2009
A self-consistent, relativistic implementation of the LSDA+DMFT method Minár, J.; Ebert, H.; Chioncel, L. The European Physical Journal Special Topics, Vol. 226, Issue 11 https://doi.org/10.1140/epjst/e2017-70047-5	journal	July 2017
Densities of States of Mega-Dimensional Hamiltonian Matrices Silver, R. N.; RÖDer, H. International Journal of Modern Physics C, Vol. 05, Issue 04 https://doi.org/10.1142/S0129183194000842	journal	August 1994
Typical-Medium Theory of Mott–Anderson Localization Dobrosavljević, V. International Journal of Modern Physics B, Vol. 24, Issue 12n13 https://doi.org/10.1142/S0217979210064563	journal	May 2010
Finite size Scaling Analysis of the Anderson Transition Kramer, B.; MacKinnon, A.; Ohtsuki, T. International Journal of Modern Physics B, Vol. 24, Issue 12n13 https://doi.org/10.1142/S0217979210064630	journal	May 2010
Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System Hikami, S.; Larkin, A. I.; Nagaoka, Y. Progress of Theoretical Physics, Vol. 63, Issue 2 https://doi.org/10.1143/PTP.63.707	journal	February 1980
Coherent Potential Approximation: Basic concepts and applications Yonezawa, Fumiko; Morigaki, Kazuo Progress of Theoretical Physics Supplement, Vol. 53 https://doi.org/10.1143/PTPS.53.1	journal	January 1973
Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effects Dobrosavljević, V.; Pastor, A. A.; Nikolić, B. K. Europhysics Letters (EPL), Vol. 62, Issue 1 https://doi.org/10.1209/epl/i2003-00364-5	journal	April 2003
Products of Random Matrices Furstenberg, H.; Kesten, H. The Annals of Mathematical Statistics, Vol. 31, Issue 2 https://doi.org/10.1214/aoms/1177705909	journal	June 1960
Anisotropic Lattice Distortions in Random Alloys from First-Principles Theory Abrikosov, I. A.; Johansson, B.; Vitos, L. The American Physical Society https://doi.org/10.17877/de290r-11079	text	January 2001
Cellular Dynamical Mean Field Approach to Strongly Correlated Systems Biroli, Giulio; Kotliar, Gabriel; Pálsson, Gunnar The American Physical Society https://doi.org/10.17877/de290r-11153	text	January 2001
Numerical analysis of the Anderson localization Markoš, P. Acta Physica Slovaca. Reviews and Tutorials, Vol. 56, Issue 5 https://doi.org/10.2478/v10155-010-0081-0	journal	October 2006
Anderson Transitions Evers, F.; Mirlin, A. D. arXiv https://doi.org/10.48550/arxiv.0707.4378	text	January 2007
Classification of topological insulators and superconductors in three spatial dimensions Schnyder, Andreas P.; Ryu, Shinsei; Furusaki, Akira arXiv https://doi.org/10.48550/arxiv.0803.2786	text	January 2008
Topological Anderson Insulator Li, Jian; Chu, Rui-Lin; Jain, J. K. arXiv https://doi.org/10.48550/arxiv.0811.3045	text	January 2008
Experimental probing of the interplay between ferromagnetism and localisation in (Ga,Mn)As Sawicki, Maciej; Chiba, Daichi; Korbecka, Anna arXiv https://doi.org/10.48550/arxiv.0909.3694	text	January 2009
Correlated electrons in the presence of disorder Byczuk, K.; Hofstetter, W.; Yu, U. arXiv https://doi.org/10.48550/arxiv.1003.2498	text	January 2010
Dynamical Mean-Field Theory of Electronic Correlations in Models and Materials Vollhardt, Dieter arXiv https://doi.org/10.48550/arxiv.1004.5069	text	January 2010
Do Transition Metal Substitutions Dope Carriers in Iron Based Superconductors? Berlijn, Tom; Lin, Chia-Hui; Garber, William arXiv https://doi.org/10.48550/arxiv.1112.4858	text	January 2011
Real-space calculation of the conductivity tensor for disordered topological matter Garcia, Jose H.; Covaci, Lucian; Rappoport, Tatiana G. arXiv https://doi.org/10.48550/arxiv.1410.8140	text	January 2014
Study of multiband disordered systems using the typical medium dynamical cluster approximation Zhang, Yi; Terletska, Hanna; Moore, C. arXiv https://doi.org/10.48550/arxiv.1509.04991	text	January 2015
Typical-medium, multiple-scattering theory for disordered systems with Anderson localization Terletska, H.; Zhang, Y.; Chioncel, L. arXiv https://doi.org/10.48550/arxiv.1612.05611	text	January 2016
A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation Jarrell, M.; Maier, Th.; Huscroft, C. arXiv https://doi.org/10.48550/arxiv.cond-mat/0108140	text	January 2001
Frequency-dependent local interactions and low-energy effective models from electronic structure calculations Aryasetiawan, F.; Imada, M.; Georges, A. arXiv https://doi.org/10.48550/arxiv.cond-mat/0401620	text	January 2004
Chebyshev expansion approach to the AC conductivity of the Anderson model Weisse, Alexander arXiv https://doi.org/10.48550/arxiv.cond-mat/0402513	text	January 2004
Complexity in Strongly Correlated Electronic Systems Dagotto, Elbio arXiv https://doi.org/10.48550/arxiv.cond-mat/0509041	text	January 2005
Numerical Analysis of the Anderson Localization Markos, Peter arXiv https://doi.org/10.48550/arxiv.cond-mat/0609580	text	January 2006
Two-Channel Kondo Lattice: An Incoherent Metal Jarrell, Mark; Pang, Hanbin; Cox, D. L. arXiv https://doi.org/10.48550/arxiv.cond-mat/9605008	text	January 1996
Scaling theory of two-dimensional metal-insulator transitions Dobrosavljevic, V.; Abrahams, Elihu; Miranda, E. arXiv https://doi.org/10.48550/arxiv.cond-mat/9704091	text	January 1997
Anderson transitions Evers, Ferdinand; Mirlin, Alexander D. Universität Regensburg https://doi.org/10.5283/epub.46205	text	January 2008
Quantum cluster theories Maier, Thomas; Jarrell, Mark; Pruschke, Thomas Karlsruhe https://doi.org/10.5445/ir/1000012189	text	January 2005
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators Lanczos, C. Journal of Research of the National Bureau of Standards, Vol. 45, Issue 4 https://doi.org/10.6028/jres.045.026	journal	October 1950

Cited By (4)

Surface-dominated conductivity of few-layered antimonene Pakdel, Sahar; Palacios, J. J. 2D Materials, Vol. 7, Issue 2 https://doi.org/10.1088/2053-1583/ab5e02	journal	January 2020
Locally self-consistent embedding approach for disordered electronic systems Zhang, Yi; Terletska, Hanna; Tam, Ka-Ming Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/physrevb.100.054205	journal	August 2019
Ab initio typical medium theory of substitutional disorder Östlin, A.; Zhang, Y.; Terletska, H. Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/physrevb.101.014210	journal	January 2020
Phonon localization in binary alloys with diagonal and off-diagonal disorder: A cluster Green's function approach Mondal, Wasim Raja; Berlijn, T.; Jarrell, M. Physical Review B, Vol. 99, Issue 13 https://doi.org/10.1103/physrevb.99.134203	journal	April 2019

Similar Records

Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization

Journal Article · 2021 · Crystals · OSTI ID:1826951

Tam, Ka-Ming; Terletska, Hanna; Berlijn, Tom; +2 more

Study of multiband disordered systems using the typical medium dynamical cluster approximation

Journal Article · 2015 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1240595

Zhang, Yi; Terletska, Hanna; Moore, C.; +6 more

Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions

Journal Article · 2021 · Annals of Physics · OSTI ID:23183180

Zhang, Y.; Terletska, H.; Wang, Y.; +3 more

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Anderson localization
coarse-graining
disordered electrons
first principles
metal-insulator transition
quantum cluster methods
typical medium

Title: Systematic Quantum Cluster Typical Medium Method for the Study of Localization in Strongly Disordered Electronic Systems

Citation Formats

References (219)

Cited By (4)

Similar Records

Related Subjects