Study of multiband disordered systems using the typical medium dynamical cluster approximation
Abstract
In this paper, we generalize the typical medium dynamical cluster approximation to multiband disordered systems. Using our extended formalism, we perform a systematic study of the nonlocal correlation effects induced by disorder on the density of states and the mobility edge of the three-dimensional two-band Anderson model. We include interband and intraband hopping and an intraband disorder potential. Our results are consistent with those obtained by the transfer matrix and the kernel polynomial methods. We apply the method to KxFe2-ySe2 with Fe vacancies. Despite the strong vacancy disorder and anisotropy, we find the material is not an Anderson insulator. Finally, our results demonstrate the application of the typical medium dynamical cluster approximation method to study Anderson localization in real materials.
- Authors:
-
- Louisiana State Univ., Baton Rouge, LA (United States)
- Univ. of Michigan, Ann Arbor, MI (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Brookhaven National Lab. (BNL), Upton, NY (United States); State Univ. of New York (SUNY), Stony Brook, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Louisiana Board of Regents (United States)
- OSTI Identifier:
- 1240595
- Alternate Identifier(s):
- OSTI ID: 1225400; OSTI ID: 1261281
- Report Number(s):
- BNL-111796-2016-JA
Journal ID: ISSN 1098-0121; R&D Project: PM002; KC0202030
- Grant/Contract Number:
- SC00112704; AC05-00OR22725; DEAC02-98CH10886; AC02-98CH10886; EPS-1003897
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 20; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Zhang, Yi, Terletska, Hanna, Moore, C., Ekuma, Chinedu, Tam, Ka-Ming, Berlijn, Tom, Ku, Wei, Moreno, Juana, and Jarrell, Mark. Study of multiband disordered systems using the typical medium dynamical cluster approximation. United States: N. p., 2015.
Web. doi:10.1103/PhysRevB.92.205111.
Zhang, Yi, Terletska, Hanna, Moore, C., Ekuma, Chinedu, Tam, Ka-Ming, Berlijn, Tom, Ku, Wei, Moreno, Juana, & Jarrell, Mark. Study of multiband disordered systems using the typical medium dynamical cluster approximation. United States. https://doi.org/10.1103/PhysRevB.92.205111
Zhang, Yi, Terletska, Hanna, Moore, C., Ekuma, Chinedu, Tam, Ka-Ming, Berlijn, Tom, Ku, Wei, Moreno, Juana, and Jarrell, Mark. Fri .
"Study of multiband disordered systems using the typical medium dynamical cluster approximation". United States. https://doi.org/10.1103/PhysRevB.92.205111. https://www.osti.gov/servlets/purl/1240595.
@article{osti_1240595,
title = {Study of multiband disordered systems using the typical medium dynamical cluster approximation},
author = {Zhang, Yi and Terletska, Hanna and Moore, C. and Ekuma, Chinedu and Tam, Ka-Ming and Berlijn, Tom and Ku, Wei and Moreno, Juana and Jarrell, Mark},
abstractNote = {In this paper, we generalize the typical medium dynamical cluster approximation to multiband disordered systems. Using our extended formalism, we perform a systematic study of the nonlocal correlation effects induced by disorder on the density of states and the mobility edge of the three-dimensional two-band Anderson model. We include interband and intraband hopping and an intraband disorder potential. Our results are consistent with those obtained by the transfer matrix and the kernel polynomial methods. We apply the method to KxFe2-ySe2 with Fe vacancies. Despite the strong vacancy disorder and anisotropy, we find the material is not an Anderson insulator. Finally, our results demonstrate the application of the typical medium dynamical cluster approximation method to study Anderson localization in real materials.},
doi = {10.1103/PhysRevB.92.205111},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 20,
volume = 92,
place = {United States},
year = {Fri Nov 06 00:00:00 EST 2015},
month = {Fri Nov 06 00:00:00 EST 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 5 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Disordered electronic systems
journal, April 1985
- Lee, Patrick A.; Ramakrishnan, T. V.
- Reviews of Modern Physics, Vol. 57, Issue 2
The Anderson-Mott transition
journal, April 1994
- Belitz, D.; Kirkpatrick, T. R.
- Reviews of Modern Physics, Vol. 66, Issue 2
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
journal, March 1979
- Abrahams, E.; Anderson, P. W.; Licciardello, D. C.
- Physical Review Letters, Vol. 42, Issue 10
Localization: theory and experiment
journal, December 1993
- Kramer, B.; MacKinnon, A.
- Reports on Progress in Physics, Vol. 56, Issue 12
Coherent-Potential Model of Substitutional Disordered Alloys
journal, April 1967
- Soven, Paul
- Physical Review, Vol. 156, Issue 3
Single-Site Approximations in the Electronic Theory of Simple Binary Alloys
journal, November 1968
- Velický, B.; Kirkpatrick, S.; Ehrenreich, H.
- Physical Review, Vol. 175, Issue 3
Paramagnetic Alloys: Electronic Density of States in the Coherent-Potential Approximation
journal, April 1970
- Kirkpatrick, S.; Velický, B.; Ehrenreich, H.
- Physical Review B, Vol. 1, Issue 8
Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems
journal, May 2000
- Hettler, M. H.; Mukherjee, M.; Jarrell, M.
- Physical Review B, Vol. 61, Issue 19
Systematic and causal corrections to the coherent potential approximation
journal, March 2001
- Jarrell, M.; Krishnamurthy, H. R.
- Physical Review B, Vol. 63, Issue 12
Quantum Monte Carlo algorithm for nonlocal corrections to the dynamical mean-field approximation
journal, October 2001
- Jarrell, M.; Maier, Th.; Huscroft, C.
- Physical Review B, Vol. 64, Issue 19
A New Method for the Electronic Structure of Random Lattice –the Coexistence of the Local and the Band Character–
journal, March 1969
- Tsukada, Masaru
- Journal of the Physical Society of Japan, Vol. 26, Issue 3
Local moments and localized states
journal, April 1978
- Anderson, P. W.
- Reviews of Modern Physics, Vol. 50, Issue 2
Statistics and scaling in disordered mesoscopic electron systems
journal, March 1998
- Janssen, Martin
- Physics Reports, Vol. 295, Issue 1-2
Anderson Localization vs. Mott–Hubbard Metal–Insulator Transition in Disordered, Interacting Lattice Fermion Systems
journal, May 2010
- Byczuk, Krzysztof; Hofstetter, Walter; Vollhardt, Dieter
- International Journal of Modern Physics B, Vol. 24, Issue 12n13
Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effects
journal, April 2003
- Dobrosavljević, V.; Pastor, A. A.; Nikolić, B. K.
- Europhysics Letters (EPL), Vol. 62, Issue 1
Typical medium dynamical cluster approximation for the study of Anderson localization in three dimensions
journal, February 2014
- Ekuma, C. E.; Terletska, H.; Tam, K. -M.
- Physical Review B, Vol. 89, Issue 8
Study of off-diagonal disorder using the typical medium dynamical cluster approximation
journal, September 2014
- Terletska, H.; Ekuma, C. E.; Moore, C.
- Physical Review B, Vol. 90, Issue 9
Coherent-Potential Approximation in a Two-Band Model: Electronic and Transport Properties of Semiconducting Binary Alloys
journal, December 1973
- Sen, P. N.
- Physical Review B, Vol. 8, Issue 12
Electronic structure of disordered intrinsic semiconductor and s-d systems: Two-band localisation
journal, July 1981
- Aoki, H.
- Journal of Physics C: Solid State Physics, Vol. 14, Issue 20
Electronic structure of disordered systems with multi-orbitals
journal, April 1985
- Aoki, H.
- Journal of Physics C: Solid State Physics, Vol. 18, Issue 10
The mobility edge since 1967
journal, July 1987
- Mott, N.
- Journal of Physics C: Solid State Physics, Vol. 20, Issue 21
Finite-cluster typical medium theory for disordered electronic systems
journal, July 2015
- Ekuma, C. E.; Moore, C.; Terletska, H.
- Physical Review B, Vol. 92, Issue 1
Estimation of zero-temperature properties of quantum spin systems on the simple cubic lattice via exact diagonalization on finite lattices
journal, January 1997
- Betts, D. D.; Stewart, G. E.
- Canadian Journal of Physics, Vol. 75, Issue 1
Numerical analysis of the Anderson localization
journal, October 2006
- Markoš, P.
- Acta Physica Slovaca. Reviews and Tutorials, Vol. 56, Issue 5
The scaling theory of electrons in disordered solids: Additional numerical results
journal, March 1983
- MacKinnon, A.; Kramer, B.
- Zeitschrift für Physik B Condensed Matter, Vol. 53, Issue 1
Finite size Scaling Analysis of the Anderson Transition
journal, May 2010
- Kramer, B.; MacKinnon, A.; Ohtsuki, T.
- International Journal of Modern Physics B, Vol. 24, Issue 12n13
The kernel polynomial method
journal, March 2006
- Weiße, Alexander; Wellein, Gerhard; Alvermann, Andreas
- Reviews of Modern Physics, Vol. 78, Issue 1
Localization effects in quantum percolation
journal, January 2005
- Schubert, Gerald; Weiße, Alexander; Fehske, Holger
- Physical Review B, Vol. 71, Issue 4
Dynamical aspects of two-dimensional quantum percolation
journal, June 2008
- Schubert, Gerald; Fehske, Holger
- Physical Review B, Vol. 77, Issue 24
A Novel Large Moment Antiferromagnetic Order in K 0.8 Fe 1.6 Se 2 Superconductor
journal, August 2011
- Bao, Wei; Huang, Qing-Zhen; Chen, Gen-Fu
- Chinese Physics Letters, Vol. 28, Issue 8
Nanoscale phase separation in the iron chalcogenide superconductor K Fe Se as seen via scanning nanofocused x-ray diffraction
journal, August 2011
- Ricci, A.; Poccia, N.; Campi, G.
- Physical Review B, Vol. 84, Issue 6
Microstructure and ordering of iron vacancies in the superconductor system Fe Se as seen via transmission electron microscopy
journal, April 2011
- Wang, Z.; Song, Y. J.; Shi, H. L.
- Physical Review B, Vol. 83, Issue 14
Direct evidence of chemical and crystallographic phase separation in K Fe Se
journal, December 2012
- Landsgesell, S.; Abou-Ras, D.; Wolf, T.
- Physical Review B, Vol. 86, Issue 22
Influence of microstructure on superconductivity in KxFe2−ySe2 and evidence for a new parent phase K2Fe7Se8
journal, May 2013
- Ding, Xiaxin; Fang, Delong; Wang, Zhenyu
- Nature Communications, Vol. 4, Issue 1
One-Fe versus Two-Fe Brillouin Zone of Fe-Based Superconductors: Creation of the Electron Pockets by Translational Symmetry Breaking
journal, December 2011
- Lin, Chia-Hui; Berlijn, Tom; Wang, Limin
- Physical Review Letters, Vol. 107, Issue 25
Effective Doping and Suppression of Fermi Surface Reconstruction via Fe Vacancy Disorder in
journal, October 2012
- Berlijn, Tom; Hirschfeld, P. J.; Ku, Wei
- Physical Review Letters, Vol. 109, Issue 14
Electronic structure of vacancy-ordered iron-selenide K 0.5 Fe 1.75 Se 2
journal, April 2013
- Cao, Chao; Zhang, Fuchun
- Physical Review B, Vol. 87, Issue 16
Electronic Identification of the Parental Phases and Mesoscopic Phase Separation of Superconductors
journal, December 2011
- Chen, F.; Xu, M.; Ge, Q. Q.
- Physical Review X, Vol. 1, Issue 2
Nodeless superconducting gap in AxFe2Se2 (A=K,Cs) revealed by angle-resolved photoemission spectroscopy
journal, February 2011
- Zhang, Y.; Yang, L. X.; Xu, M.
- Nature Materials, Vol. 10, Issue 4
Superconductivity in the iron selenide
journal, November 2010
- Guo, Jiangang; Jin, Shifeng; Wang, Gang
- Physical Review B, Vol. 82, Issue 18
Unconventional Superconductivity with a Sign Reversal in the Order Parameter of
journal, July 2008
- Mazin, I. I.; Singh, D. J.; Johannes, M. D.
- Physical Review Letters, Vol. 101, Issue 5
Fe-based superconductivity with T c =31 K bordering an antiferromagnetic insulator in (Tl,K) Fe x Se 2
journal, April 2011
- Fang, Ming-Hu; Wang, Hang-Dong; Dong, Chi-Heng
- EPL (Europhysics Letters), Vol. 94, Issue 2
Unified Picture for Magnetic Correlations in Iron-Based Superconductors
journal, September 2010
- Yin, Wei-Guo; Lee, Chi-Cheng; Ku, Wei
- Physical Review Letters, Vol. 105, Issue 10
Itinerancy-Enhanced Quantum Fluctuation of Magnetic Moments in Iron-Based Superconductors
journal, September 2015
- Tam, Yu-Ting; Yao, Dao-Xin; Ku, Wei
- Physical Review Letters, Vol. 115, Issue 11
Insulating Ferromagnetism in : An Ab Initio Wannier Function Analysis
journal, September 2002
- Ku, Wei; Rosner, H.; Pickett, W. E.
- Physical Review Letters, Vol. 89, Issue 16
Electronic structure calculations of solids using the WIEN2k package for material sciences
journal, August 2002
- Schwarz, K.; Blaha, P.; Madsen, G. K. H.
- Computer Physics Communications, Vol. 147, Issue 1-2
Works referencing / citing this record:
Anderson localization in optical lattices with correlated disorder
journal, December 2015
- Fratini, E.; Pilati, S.
- Physical Review A, Vol. 92, Issue 6
Locally self-consistent embedding approach for disordered electronic systems
journal, August 2019
- Zhang, Yi; Terletska, Hanna; Tam, Ka-Ming
- Physical Review B, Vol. 100, Issue 5
Ab initio typical medium theory of substitutional disorder
journal, January 2020
- Östlin, A.; Zhang, Y.; Terletska, H.
- Physical Review B, Vol. 101, Issue 1
Systematic Quantum Cluster Typical Medium Method for the Study of Localization in Strongly Disordered Electronic Systems
journal, November 2018
- Terletska, Hanna; Zhang, Yi; Tam, Ka-Ming
- Applied Sciences, Vol. 8, Issue 12
Generalized Multiband Typical Medium Dynamical Cluster Approximation: Application to (Ga,Mn)N
text, January 2016
- Zhang, Yi; Nelson, R.; Siddiqui, Elisha
- arXiv
Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
text, January 2018
- Terletska, Hanna; Zhang, Yi; Tam, Ka Ming
- arXiv