Mixed valent metals

Riseborough, P. S.; Lawrence, Jon M.

doi:10.1088/0034-4885/79/8/084501

Title: Mixed valent metals

Journal Article · 04 July 2016 · Reports on Progress in Physics

DOI: https://doi.org/10.1088/0034-4885/79/8/084501 · OSTI ID:1414146

Riseborough, P. S. ^[1]; Lawrence, Jon M. ^[2]

Temple Univ., Philadelphia, PA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, we review the theory of mixed-valent metals and make comparison with experiments. A single-impurity description of the mixed-valent state is discussed alongside the description of the nearly-integer valent or Kondo limit. The degeneracy N of the f-shell plays an important role in the description of the low-temperature Fermi-liquid state. In particular, for large N, there is a rapid cross-over between the mixed-valent and the Kondo limit when the number of f electrons is changed. We discuss the limitations on the application of the single-impurity description to concentrated compounds such as those caused by the saturation of the Kondo effect and those due to the presence of magnetic interactions between the impurities. This discussion is followed by a description of a periodic lattice of mixed-valent ions, including the role of the degeneracy N. The article concludes with a comparison of theory and experiment. Topics covered include the single-impurity Anderson model, Luttinger's theorem, the Friedel sum rule, the Schrieffer–Wolff transformation, the single-impurity Kondo model, Kondo screening, the Wilson ratio, local Fermi-liquids, Fermi-liquid sum rules, the Nozieres exhaustion principle, Doniach's diagram, the Anderson lattice model, the Slave-Boson method, etc.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396; FG02-01ER45872

OSTI ID:: 1414146

Alternate ID(s):: OSTI ID: 1260062

Report Number(s):: LA-UR-17-22084; TRN: US1800669

Journal Information:: Reports on Progress in Physics, Vol. 79, Issue 8; ISSN 0034-4885

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (108)

Some comments on Kondo lattices and the Mott transition Nozières, P. The European Physical Journal B, Vol. 6, Issue 4 https://doi.org/10.1007/s100510050571	journal	December 1998
The one-dimensional Kondo lattice model studied by the density matrix renormalization group method Shibata, Naokazu; Ueda, Kazuo Journal of Physics: Condensed Matter, Vol. 11, Issue 2 https://doi.org/10.1088/0953-8984/11/2/002	journal	January 1999
Kondo effect in real metals Nozières, Ph.; Blandin, A. Journal de Physique, Vol. 41, Issue 3 https://doi.org/10.1051/jphys:01980004103019300	journal	January 1980
A renormalisation group approach to the mixed valence problem Jefferson, J. H. Journal of Physics C: Solid State Physics, Vol. 10, Issue 18 https://doi.org/10.1088/0022-3719/10/18/023	journal	September 1977
Dynamical Cluster Approximation for the Periodic Anderson Model: Competition between Local and Non-local Correlations Shimizu, Yukihiro Journal of the Physical Society of Japan, Vol. 71, Issue 4 https://doi.org/10.1143/jpsj.71.1166	journal	April 2002
Stabilité des Moments Magnétiques Localisés dans les Métaux Coqblin, B.; Blandin, A. Advances in Physics, Vol. 17, Issue 67 https://doi.org/10.1080/00018736800101306	journal	May 1968
Double occupancy of the f orbital in the Anderson model for Ce compounds Gunnarsson, O.; Schönhammer, K. Physical Review B, Vol. 31, Issue 8 https://doi.org/10.1103/physrevb.31.4815	journal	April 1985
Exact solution of the degenerate Anderson model Ogievetski, E.; Tsvelick, A. M.; Wiegmann, P. B. Journal of Physics C: Solid State Physics, Vol. 16, Issue 22 https://doi.org/10.1088/0022-3719/16/22/005	journal	August 1983
Thermodynamics of theSU(N) Anderson impurity Schlottmann, P. Zeitschrift f�r Physik B Condensed Matter, Vol. 54, Issue 3 https://doi.org/10.1007/BF01319185	journal	September 1984
Localized spin ordering in Kondo lattice models McCulloch, I. P.; Juozapavicius, A.; Rosengren, A. Physical Review B, Vol. 65, Issue 5 https://doi.org/10.1103/physrevb.65.052410	journal	January 2002
An exact limit of a local mixed valence model Hewson, A. C.; Riseborough, P. S. Solid State Communications, Vol. 22, Issue 6 https://doi.org/10.1016/0038-1098(77)91071-7	journal	May 1977
Q -dependence of the spin fluctuations in the intermediate valence compound CePd ₃ Fanelli, V. R.; Lawrence, J. M.; Goremychkin, E. A. Journal of Physics: Condensed Matter, Vol. 26, Issue 22 https://doi.org/10.1088/0953-8984/26/22/225602	journal	May 2014
The one-dimensional Kondo lattice model studied by the density matrix renormalization group method Shibata, Naokazu; Ueda, Kazuo Journal of Physics: Condensed Matter, Vol. 11, Issue 21 https://doi.org/10.1088/0953-8984/11/21/501	journal	January 1999
One-dimensional symmetric Kondo lattice: A quantum Monte Carlo study Fye, R. M.; Scalapino, D. J. Physical Review Letters, Vol. 65, Issue 25 https://doi.org/10.1103/physrevlett.65.3177	journal	December 1990
Exact results in the theory of magnetic alloys Tsvelick, A. M.; Wiegmann, P. B. Advances in Physics, Vol. 32, Issue 4 https://doi.org/10.1080/00018738300101581	journal	January 1983
Thermodynamics of theSU(N) Anderson impurity: III. Numerical solution of the Bethe-ansatz equations forS=7/2 and comparison with experiment Schlottmann, P. Zeitschrift für Physik B Condensed Matter, Vol. 57, Issue 1 https://doi.org/10.1007/bf01679922	journal	March 1984
The Kondo lattice and weak antiferromagnetism Doniach, S. Physica B+C, Vol. 91 https://doi.org/10.1016/0378-4363(77)90190-5	journal	July 1977
Bethe-ansatz solution of the groundstate of a model for mixed-valent Ce and Yb impurities in metals: II. Zeromagnetic field properties Schlottmann, P. Zeitschrift f�r Physik B Condensed Matter, Vol. 51, Issue 1 https://doi.org/10.1007/BF01304044	journal	March 1983
Heavy Fermions in YbAl ₃ Studied by the de Haas-van Alphen Effect Ebihara, Takao; Inada, Yoshihiko; Murakawa, Masao Journal of the Physical Society of Japan, Vol. 69, Issue 3 https://doi.org/10.1143/jpsj.69.895	journal	March 2000
On some Electrical and Magnetic Properties of Metallic Solid Solutions Friedel, J. Canadian Journal of Physics, Vol. 34, Issue 12A https://doi.org/10.1139/p56-134	journal	December 1956
Universal Scaling in the Dynamical Conductivity of Heavy Fermion Ce and Yb Compounds Okamura, Hidekazu; Watanabe, Tatsuya; Matsunami, Masaharu Journal of the Physical Society of Japan, Vol. 76, Issue 2 https://doi.org/10.1143/jpsj.76.023703	journal	February 2007
Exact solution of the degenerate exchange model (Kondo problem for alloys with rare earth impurities) Tsvelick, A. M.; Wiegmann, P. B. Journal of Physics C: Solid State Physics, Vol. 15, Issue 8 https://doi.org/10.1088/0022-3719/15/8/016	journal	March 1982
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
Valence fluctuation phenomena Lawrence, J. M.; Riseborough, P. S.; Parks, R. D. Reports on Progress in Physics, Vol. 44, Issue 1 https://doi.org/10.1088/0034-4885/44/1/001	journal	January 1981
Impuretés magnétiques et effet Kondo Nozières, P. Annales de Physique, Vol. 10, Issue 1 https://doi.org/10.1051/anphys:0198500100101900	journal	January 1985
Observation of an Energy- and Temperature-Dependent Carrier Mass for Mixed-Valence Ce Pd 3 Webb, B. C.; Sievers, A. J.; Mihalisin, T. Physical Review Letters, Vol. 57, Issue 15 https://doi.org/10.1103/physrevlett.57.1951	journal	October 1986
A poor man's derivation of scaling laws for the Kondo problem Anderson, P. W. Journal of Physics C: Solid State Physics, Vol. 3, Issue 12 https://doi.org/10.1088/0022-3719/3/12/008	journal	December 1970
Some exact results for dilute mixed-valent and heavy-fermion systems Schlottmann, P. Physics Reports, Vol. 181, Issue 1-2 https://doi.org/10.1016/0370-1573(89)90116-6	journal	September 1989
Analytic Properties of Single-Particle Propagators for Many-Fermion Systems Luttinger, J. M. Physical Review, Vol. 121, Issue 4 https://doi.org/10.1103/physrev.121.942	journal	February 1961
Formation of a coherent heavy electron state in the Anderson lattice model McQueen, P. G.; Hess, D. W.; Serene, J. W. Physical Review Letters, Vol. 71, Issue 1 https://doi.org/10.1103/physrevlett.71.129	journal	July 1993
Band-filling effects on Kondo-lattice properties Coqblin, B.; Lacroix, C.; Gusmão, M. A. Physical Review B, Vol. 67, Issue 6 https://doi.org/10.1103/physrevb.67.064417	journal	February 2003
The Wilson-Andrei number for the SU(3) Kondo model Hewson, A. C.; Rasul, J. W. Physics Letters A, Vol. 92, Issue 2 https://doi.org/10.1016/0375-9601(82)90304-8	journal	October 1982
Exact high- and low-temperature results for the Coqblin-Schreiffer model with applications to YbCuAl Hewson, A. C.; Rasul, J. W. Journal of Physics C: Solid State Physics, Vol. 16, Issue 35 https://doi.org/10.1088/0022-3719/16/35/012	journal	December 1983
New method for the Anderson model Barnes, S. E. Journal of Physics F: Metal Physics, Vol. 6, Issue 7 https://doi.org/10.1088/0305-4608/6/7/018	journal	July 1976
Bethe-ansatz solution of the groundstate of a model for mixed-valent Ce and Yb impurities in metals Schlottmann, P. Zeitschrift f�r Physik B Condensed Matter, Vol. 49, Issue 2 https://doi.org/10.1007/bf01314745	journal	June 1982
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
Comparison of the 1/N expansion and Bethe ansatz results for the degenerate Anderson model Rasul, J. W.; Hewson, A. C. Journal of Physics C: Solid State Physics, Vol. 17, Issue 19 https://doi.org/10.1088/0022-3719/17/19/010	journal	July 1984
Inhomogeneous Electron Gas Hohenberg, P.; Kohn, W. Physical Review, Vol. 136, Issue 3B, p. B864-B871 https://doi.org/10.1103/PhysRev.136.B864	journal	November 1964
The Kondo Problem to Heavy Fermions Hewson, Alexander Cyril https://doi.org/10.1017/CBO9780511470752	book	January 1993
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
Pseudogap formation in the symmetric Anderson lattice model McQueen, P. G.; Hess, D. W.; Serene, J. W. Physical Review B, Vol. 50, Issue 11 https://doi.org/10.1103/physrevb.50.7304	journal	September 1994
Heavy fermion semiconductors Riseborough, Peter S. Advances in Physics, Vol. 49, Issue 3 https://doi.org/10.1080/000187300243345	journal	May 2000
Theory of magnetic instabilities in heavy fermion compounds Evans, S. M. M. Journal of Physics: Condensed Matter, Vol. 3, Issue 43 https://doi.org/10.1088/0953-8984/3/43/011	journal	October 1991
Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons Ruderman, M. A.; Kittel, C. Physical Review, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRev.96.99	journal	October 1954
A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model Kasuya, Tadao Progress of Theoretical Physics, Vol. 16, Issue 1 https://doi.org/10.1143/PTP.16.45	journal	July 1956
Magnetic Properties of Cu-Mn Alloys Yosida, Kei Physical Review, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRev.106.893	journal	June 1957
Localized Magnetic States in Metals Anderson, P. W. Physical Review, Vol. 124, Issue 1 https://doi.org/10.1103/PhysRev.124.41	journal	October 1961
Renormalization-group approach to the Anderson model of dilute magnetic alloys. I. Static properties for the symmetric case Krishna-murthy, H.; Wilkins, J.; Wilson, K. Physical Review B, Vol. 21, Issue 3 https://doi.org/10.1103/PhysRevB.21.1003	journal	February 1980
Renormalization-group approach to the Anderson model of dilute magnetic alloys. II. Static properties for the asymmetric case Krishna-murthy, H.; Wilkins, J.; Wilson, K. Physical Review B, Vol. 21, Issue 3 https://doi.org/10.1103/PhysRevB.21.1044	journal	February 1980
Solution of the Kondo problem Andrei, N.; Furuya, K.; Lowenstein, J. H. Reviews of Modern Physics, Vol. 55, Issue 2, p. 331-402 https://doi.org/10.1103/RevModPhys.55.331	journal	April 1983
Study of the 4 f Levels in Rare-Earth Metals by High-Energy Spectroscopies Lang, J. K.; Baer, Y.; Cox, P. A. Physical Review Letters, Vol. 42, Issue 1 https://doi.org/10.1103/PhysRevLett.42.74	journal	January 1979
Magnetic susceptibility of mixed-valence rare-earth compounds Varma, C. M.; Yafet, Y. Physical Review B, Vol. 13, Issue 7 https://doi.org/10.1103/PhysRevB.13.2950	journal	April 1976
Electron spectroscopies for Ce compounds in the impurity model Gunnarsson, O.; Schönhammer, K. Physical Review B, Vol. 28, Issue 8 https://doi.org/10.1103/PhysRevB.28.4315	journal	October 1983
Relation between the Anderson and Kondo Hamiltonians Schrieffer, J. R.; Wolff, P. A. Physical Review, Vol. 149, Issue 2 https://doi.org/10.1103/PhysRev.149.491	journal	September 1966
Exchange Interaction in Alloys with Cerium Impurities Coqblin, B.; Schrieffer, J. R. Physical Review, Vol. 185, Issue 2 https://doi.org/10.1103/PhysRev.185.847	journal	September 1969
Interaction Between the d Shells in the Transition Metals Zener, C. Physical Review, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRev.81.440	journal	February 1951
Resistance Minimum in Dilute Magnetic Alloys Kondo, J. Progress of Theoretical Physics, Vol. 32, Issue 1, p. 37-49 https://doi.org/10.1143/PTP.32.37	journal	July 1964
Electron scattering on magnetic impurities in metals and anomalous resistivity effects Abrikosov, A. A. Physics Physique Fizika, Vol. 2, Issue 1 https://doi.org/10.1103/PhysicsPhysiqueFizika.2.5	journal	September 1965
The renormalization group: Critical phenomena and the Kondo problem Wilson, Kenneth G. Reviews of Modern Physics, Vol. 47, Issue 4 https://doi.org/10.1103/RevModPhys.47.773	journal	October 1975
Bound State Due to the s − d Exchange Interaction Yosida, Kei Physical Review, Vol. 147, Issue 1 https://doi.org/10.1103/PhysRev.147.223	journal	July 1966
A ?fermi-liquid? description of the Kondo problem at low temperatures Nozi�res, P. Journal of Low Temperature Physics, Vol. 17, Issue 1-2 https://doi.org/10.1007/BF00654541	journal	October 1974
Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions Luttinger, J. M. Physical Review, Vol. 119, Issue 4 https://doi.org/10.1103/PhysRev.119.1153	journal	August 1960
Friedel Sum Rule for Anderson's Model of Localized Impurity States Langreth, David C. Physical Review, Vol. 150, Issue 2 https://doi.org/10.1103/PhysRev.150.516	journal	October 1966
Perturbation Expansion for the Anderson Hamiltonian. II Yamada, K. Progress of Theoretical Physics, Vol. 53, Issue 4 https://doi.org/10.1143/PTP.53.970	journal	April 1975
Perturbation Analysis on Orbital-Degenerate Anderson Model Yoshimori, A. Progress of Theoretical Physics, Vol. 55, Issue 1 https://doi.org/10.1143/PTP.55.67	journal	January 1976
Scales and Scaling in the Kondo Model Andrei, N.; Lowenstein, J. H. Physical Review Letters, Vol. 46, Issue 5 https://doi.org/10.1103/PhysRevLett.46.356	journal	February 1981
Bethe-Ansatz solution of the ground-state of theSU (2j+1) Kondo (Coqblin-Schrieffer) model: Magnetization, magnetoresistance and universality Schlottmann, P. Zeitschrift f�r Physik B Condensed Matter, Vol. 51, Issue 3 https://doi.org/10.1007/BF01307678	journal	September 1983
Scaling Theory of the Asymmetric Anderson Model Haldane, F. D. M. Physical Review Letters, Vol. 40, Issue 6 https://doi.org/10.1103/PhysRevLett.40.416	journal	February 1978
Kondo Lattices and the Mott Metal–Insulator Transition Nozières, Ph. Journal of the Physical Society of Japan, Vol. 74, Issue 1 https://doi.org/10.1143/JPSJ.74.4	journal	January 2005
Coherence Scale of the Kondo Lattice Burdin, S.; Georges, A.; Grempel, D. R. Physical Review Letters, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevLett.85.1048	journal	July 2000
Magnetic instability of a highly degenerate Kondo lattice Doniach, S. Physical Review B, Vol. 35, Issue 4 https://doi.org/10.1103/PhysRevB.35.1814	journal	February 1987
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
Magnetic phase diagram of the Hubbard model in three dimensions:The second-order local approximation Tahvildar-Zadeh, A. N.; Freericks, J. K.; Jarrell, M. Physical Review B, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevB.55.942	journal	January 1997
Self-consistent large- N expansion for normal-state properties of dilute magnetic alloys Bickers, N. E.; Cox, D. L.; Wilkins, J. W. Physical Review B, Vol. 36, Issue 4 https://doi.org/10.1103/PhysRevB.36.2036	journal	August 1987
Review of techniques in the large- N expansion for dilute magnetic alloys Bickers, N. E. Reviews of Modern Physics, Vol. 59, Issue 4 https://doi.org/10.1103/RevModPhys.59.845	journal	October 1987
Mixed valence as an almost broken symmetry Coleman, Piers Physical Review B, Vol. 35, Issue 10 https://doi.org/10.1103/PhysRevB.35.5072	journal	April 1987
New approach to the mixed-valence problem Coleman, Piers Physical Review B, Vol. 29, Issue 6 https://doi.org/10.1103/PhysRevB.29.3035	journal	March 1984
Large-orbital-degeneracy expansion for the lattice Anderson model Millis, A. J.; Lee, P. A. Physical Review B, Vol. 35, Issue 7 https://doi.org/10.1103/PhysRevB.35.3394	journal	March 1987
Slow crossover in Yb X Cu 4 ( X =Ag, Cd, In, Mg, Tl, Zn) intermediate-valence compounds Lawrence, J. M.; Riseborough, P. S.; Booth, C. H. Physical Review B, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevB.63.054427	journal	January 2001
Two Energy Scales and Slow Crossover in YbAl 3 Cornelius, A. L.; Lawrence, J. M.; Ebihara, T. Physical Review Letters, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevLett.88.117201	journal	March 2002
Intermediate Valence Metals Lawrence, Jon Modern Physics Letters B, Vol. 22, Issue 13 https://doi.org/10.1142/S0217984908016042	journal	May 2008
Pseudogap Formation and Heavy-Carrier Dynamics in Intermediate-Valence YbAl ₃ Okamura, Hidekazu; Michizawa, Takahiro; Nanba, Takao Journal of the Physical Society of Japan, Vol. 73, Issue 8 https://doi.org/10.1143/JPSJ.73.2045	journal	August 2004
Band Calculations for Ce Compounds with AuCu ₃ -type Crystal Structure on the basis of Dynamical Mean Field Theory: I. CePd ₃ and CeRh ₃ Sakai, Osamu Journal of the Physical Society of Japan, Vol. 79, Issue 11 https://doi.org/10.1143/JPSJ.79.114701	journal	November 2010
Localized Excitation in the Hybridization Gap in YbAl 3 Christianson, A. D.; Fanelli, V. R.; Lawrence, J. M. Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.117206	journal	March 2006
How Bad Metals Turn Good: Spectroscopic Signatures of Resilient Quasiparticles Deng, Xiaoyu; Mravlje, Jernej; Žitko, Rok Physical Review Letters, Vol. 110, Issue 8 https://doi.org/10.1103/PhysRevLett.110.086401	journal	February 2013
Dynamic susceptibility of intermediate-valence compounds: a random-phase-approximation study of the anderson lattice Riseborough, P. S.; Mills, D. L. Physical Review B, Vol. 21, Issue 11 https://doi.org/10.1103/PhysRevB.21.5338	journal	June 1980
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
Conserving approximations for strongly fluctuating electron systems. I. Formalism and calculational approach Bickers, N. E.; Scalapino, D. J. Annals of Physics, Vol. 193, Issue 1 https://doi.org/10.1016/0003-4916(89)90359-X	journal	July 1989
Conserving Approximations for Strongly Correlated Electron Systems: Bethe-Salpeter Equation and Dynamics for the Two-Dimensional Hubbard Model Bickers, N. E.; Scalapino, D. J.; White, S. R. Physical Review Letters, Vol. 62, Issue 8 https://doi.org/10.1103/PhysRevLett.62.961	journal	February 1989
Conserving approximations for strongly fluctuating electron systems. II. Numerical results and parquet extension Bickers, N. E.; White, S. R. Physical Review B, Vol. 43, Issue 10 https://doi.org/10.1103/PhysRevB.43.8044	journal	April 1991
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
Self-Consistent Equations Including Exchange and Correlation Effects Kohn, W.; Sham, L. J. Physical Review, Vol. 140, Issue 4A, p. A1133-A1138 https://doi.org/10.1103/PhysRev.140.A1133	journal	November 1965
Monte Carlo Method for Magnetic Impurities in Metals Hirsch, J. E.; Fye, R. M. Physical Review Letters, Vol. 56, Issue 23 https://doi.org/10.1103/PhysRevLett.56.2521	journal	June 1986
Spin-liquid ground state of the half-filled Kondo lattice in one dimension Tsunetsugu, Hirokazu; Hatsugai, Yasuhiro; Ueda, Kazuo Physical Review B, Vol. 46, Issue 5 https://doi.org/10.1103/PhysRevB.46.3175	journal	August 1992
Density matrix formulation for quantum renormalization groups White, Steven R. Physical Review Letters, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevLett.69.2863	journal	November 1992
The density-matrix renormalization group Schollwöck, U. Reviews of Modern Physics, Vol. 77, Issue 1 https://doi.org/10.1103/RevModPhys.77.259	journal	April 2005
Numerical renormalization group study of the one-dimensional Kondo insulator Yu, Clare C.; White, Steven R. Physical Review Letters, Vol. 71, Issue 23 https://doi.org/10.1103/PhysRevLett.71.3866	journal	December 1993
Polaron Problem by Diagrammatic Quantum Monte Carlo Prokof'ev, Nikolai V.; Svistunov, Boris V. Physical Review Letters, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevLett.81.2514	journal	September 1998
A discrete Hubbard-Stratonovich decomposition for general, fermionic two-body interactions Rombouts, S.; Heyde, K.; Jachowicz, N. Physics Letters A, Vol. 242, Issue 4-5 https://doi.org/10.1016/S0375-9601(98)00197-2	journal	June 1998
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
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
Thermodynamics of theSU(N) anderson impurity: II. Numerical solution forS=1/2, 1, 3/2 and 5/2 Schlottmann, P. Zeitschrift f�r Physik B Condensed Matter, Vol. 56, Issue 2 https://doi.org/10.1007/bf01469693	journal	June 1984
Band-filling effects on the Kondo-lattice properties Coqblin, B.; Lacroix, C.; Gusmão, M. A. arXiv https://doi.org/10.48550/arxiv.cond-mat/0212034	text	January 2002
The density-matrix renormalization group Schollwoeck, Ulrich arXiv https://doi.org/10.48550/arxiv.cond-mat/0409292	text	January 2004
Universal scaling in the dynamical conductivity of heavy fermion Ce and Yb compounds Okamura, H.; Watanabe, T.; Matsunami, M. arXiv https://doi.org/10.48550/arxiv.cond-mat/0604612	text	January 2006
Magnetic Phase Diagram of Hubbard Model in Three Dimensions: the Second-Order Local Approximation Tahvildar-Zadeh, A. N.; Freericks, J. K.; Jarrell, M. arXiv https://doi.org/10.48550/arxiv.cond-mat/9604039	text	January 1996
A discrete Hubbard-Stratonovich decomposition for general, fermionic two-body interactions Rombouts, S.; Heyde, K.; Jachowicz, N. arXiv https://doi.org/10.48550/arxiv.cond-mat/9804290	text	January 1998
The Dynamical Cluster Approximation: Non-Local Dynamics of Correlated Electron Systems Hettler, M. H.; Mukherjee, M.; Jarrell, M. arXiv https://doi.org/10.48550/arxiv.cond-mat/9903273	text	January 1999

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36 MATERIALS SCIENCE
Material Science
single-impurity Anderson model
Luttinger’s theorem
single-impurity Kondo model
Anderson lattice model
Slave-Boson method
Friedel sum rule

Title: Mixed valent metals

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