Energy scales of the doped Anderson lattice model

Kang, Hanhim; Haule, Kristjan; Kotliar, Gabriel; Coleman, Piers; Shim, Ji-Hoon

doi:10.1103/PhysRevB.99.165115

Title: Energy scales of the doped Anderson lattice model

Journal Article · Fri Apr 12 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.99.165115· OSTI ID:1509680

Kang, Hanhim ^[1]; Haule, Kristjan ^[2]; Kotliar, Gabriel ^[2]; Coleman, Piers ^[2]; Shim, Ji-Hoon ^[3]

Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Chemistry
Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy
Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Chemistry, and Dept. of Physics

This paper explores the energy scales of the doped Anderson lattice model using dynamical mean-field theory (DMFT), using a continuous-time Quantum Monte Carlo (CTQMC) impurity solver. We show that the low temperature properties of the lattice can not be scaled using the single ion local Kondo temperature T_K but instead are governed by a doping-dependent coherence temperature T* which can be used to scale the temperature dependence of the spectral function, transport properties, and entropy. At half filling T* closely approximates the single ion T_K, but as the filling n_c is reduced to zero, T* also vanishes. The coherence temperature T* is shown to play a role of effective impurity Kondo temperature in the lattice model, and physical observables show significant evolution at T*. In the DMFT framework, we showed that the hybridization strength of the effective impurity model is qualitatively affected by the doping level, and determines T* in the lattice model.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-99ER45790

OSTI ID:: 1509680

Alternate ID(s):: OSTI ID: 1506725

Journal Information:: Physical Review B, Vol. 99, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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References (28)

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
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
Heavy-fermion systems Stewart, G. R. Reviews of Modern Physics, Vol. 56, Issue 4 https://doi.org/10.1103/RevModPhys.56.755	journal	October 1984
A new functional integral formalism for the degenerate Anderson model Read, N.; Newns, D. M. Journal of Physics C: Solid State Physics, Vol. 16, Issue 29 https://doi.org/10.1088/0022-3719/16/29/007	journal	October 1983
Effect of high pressure on the electrical resistivity of the heavy-fermion compound ${UBe}_{13}$ McElfresh, M. W.; Maple, M. B.; Willis, J. O. Physical Review B, Vol. 42, Issue 10 https://doi.org/10.1103/PhysRevB.42.6062	journal	October 1990
Kondo-lattice – mixed-valence resistance scaling in heavy-fermion ${CeCu}_{6}$ under pressure Thompson, J. D.; Fisk, Z. Physical Review B, Vol. 31, Issue 1 https://doi.org/10.1103/PhysRevB.31.389	journal	January 1985
Multiple temperature scales of the periodic Anderson model: Slave boson approach Burdin, S.; Zlatić, V. Physical Review B, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevB.79.115139	journal	March 2009
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
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
Direct observation of how the heavy-fermion state develops in ${CeCoIn}_{5}$ Chen, Q. Y.; Xu, D. F.; Niu, X. H. Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevB.96.045107	journal	July 2017
High dimensions - a new approach to fermionic lattice models Vollhardt, Dieter Physica B: Condensed Matter, Vol. 169, Issue 1-4 https://doi.org/10.1016/0921-4526(91)90240-F	journal	February 1991
Temperature-Independent Fermi Surface in the Kondo Lattice ${YbRh}_{2} {Si}_{2}$ Kummer, K.; Patil, S.; Chikina, A. Physical Review X, Vol. 5, Issue 1 https://doi.org/10.1103/PhysRevX.5.011028	journal	March 2015
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
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
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
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
Some exact results for the Kondo lattice with infinite exchange interaction Lacroix, C. Solid State Communications, Vol. 54, Issue 11 https://doi.org/10.1016/0038-1098(85)90171-1	journal	June 1985
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
The electrical resistance of gold, copper and lead at low temperatures de Haas, W. J.; de Boer, J.; van dën Berg, G. J. Physica, Vol. 1, Issue 7-12 https://doi.org/10.1016/S0031-8914(34)80310-2	journal	May 1934
Phase diagram, energy scales, and nonlocal correlations in the Anderson lattice model Tanasković, D.; Haule, K.; Kotliar, G. Physical Review B, Vol. 84, Issue 11 https://doi.org/10.1103/PhysRevB.84.115105	journal	September 2011
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
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
Recent Advances in Ce-Based Heavy-Fermion Superconductivity and Fermi Surface Properties Settai, Rikio; Takeuchi, Tetsuya; Ōnuki, Yoshichika Journal of the Physical Society of Japan, Vol. 76, Issue 5 https://doi.org/10.1143/JPSJ.76.051003	journal	May 2007
Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture Wilson, Kenneth G. Physical Review B, Vol. 4, Issue 9 https://doi.org/10.1103/PhysRevB.4.3174	journal	November 1971
The renormalization group and the ε expansion Wilson, K. Physics Reports, Vol. 12, Issue 2 https://doi.org/10.1016/0370-1573(74)90023-4	journal	August 1974
Heavy-fermion systems Fulde, P. Annalen der Physik, Vol. 9, Issue 11-12 https://doi.org/10.1002/1521-3889(200011)9:11/12<871::aid-andp871>3.0.co;2-s	journal	November 2000
Phase diagram, energy scales and nonlocal correlations in the Anderson lattice model Tanaskovic, D.; Haule, K.; Kotliar, G. arXiv https://doi.org/10.48550/arxiv.1106.4708	text	January 2011
A continuous-time solver for quantum impurity models Werner, Philipp; Comanac, Armin; De Medici, Luca arXiv https://doi.org/10.48550/arxiv.cond-mat/0512727	text	January 2005

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