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Title: Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model

Abstract

The Kondo and periodic Anderson models describe many of the qualitative features of local moments coupled to a conduction band, and thereby the physics of materials such as the heavy fermions. In particular, when the exchange coupling J or hybridization V between the moments and the electrons of the metallic band is large, singlets form, quenching the magnetism. In the opposite, small J or V, limit, the moments survive and the conduction electrons mediate an effective interaction which can trigger long-range, often antiferromagnetic order. In the case of the Kondo model, where the moments are described by local spins, Nozières considered the possibility that the available conduction electrons within the Kondo temperature of the Fermi surface would be insufficient in number to accomplish the screening. Much effort in the literature has been devoted to the study of the temperature scales in the resulting “exhaustion” problem and how the “coherence temperature” where a heavy Fermi liquid forms is related to the Kondo temperature. Here, we study a version of the periodic Anderson model in which some of the conduction electrons are removed in a way which avoids the fermion sign problem and hence allows low-temperature quantum Monte Carlo simulations which canmore » access both singlet formation and magnetic ordering temperature scales. Finally, we are then able to focus on a somewhat different aspect of exhaustion physics than previously considered: the effect of dilution on the critical V for the singlet-antiferromagnetic transition.« less

Authors:
 [1];  [1];  [2];  [3];  [4]
  1. Beijing Normal Univ. (China)
  2. International School for Advanced Studies (SISSA), Trieste (Italy). Universidade Federal do Rio de Janeiro (Brazil)
  3. Universidade Federal do Rio de Janeiro (Brazil)
  4. Univ. of California, Davis, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Davis, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; NSFC; Beijing Natural Science Foundation
OSTI Identifier:
1597048
Grant/Contract Number:  
SC0014671; 11774033; 1192011
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 19; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Antiferromagnetism; Kondo effect; Heavy-fermion systems; Anderson impurity model; Kondo lattice model; Quantum Monte Carlo

Citation Formats

Zhang, Lufeng, Ma, Tianxing, Costa, Natanael C., dos Santos, Raimundo R., and Scalettar, Richard T. Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.195147.
Zhang, Lufeng, Ma, Tianxing, Costa, Natanael C., dos Santos, Raimundo R., & Scalettar, Richard T. Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model. United States. doi:10.1103/PhysRevB.99.195147.
Zhang, Lufeng, Ma, Tianxing, Costa, Natanael C., dos Santos, Raimundo R., and Scalettar, Richard T. Tue . "Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model". United States. doi:10.1103/PhysRevB.99.195147.
@article{osti_1597048,
title = {Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model},
author = {Zhang, Lufeng and Ma, Tianxing and Costa, Natanael C. and dos Santos, Raimundo R. and Scalettar, Richard T.},
abstractNote = {The Kondo and periodic Anderson models describe many of the qualitative features of local moments coupled to a conduction band, and thereby the physics of materials such as the heavy fermions. In particular, when the exchange coupling J or hybridization V between the moments and the electrons of the metallic band is large, singlets form, quenching the magnetism. In the opposite, small J or V, limit, the moments survive and the conduction electrons mediate an effective interaction which can trigger long-range, often antiferromagnetic order. In the case of the Kondo model, where the moments are described by local spins, Nozières considered the possibility that the available conduction electrons within the Kondo temperature of the Fermi surface would be insufficient in number to accomplish the screening. Much effort in the literature has been devoted to the study of the temperature scales in the resulting “exhaustion” problem and how the “coherence temperature” where a heavy Fermi liquid forms is related to the Kondo temperature. Here, we study a version of the periodic Anderson model in which some of the conduction electrons are removed in a way which avoids the fermion sign problem and hence allows low-temperature quantum Monte Carlo simulations which can access both singlet formation and magnetic ordering temperature scales. Finally, we are then able to focus on a somewhat different aspect of exhaustion physics than previously considered: the effect of dilution on the critical V for the singlet-antiferromagnetic transition.},
doi = {10.1103/PhysRevB.99.195147},
journal = {Physical Review B},
number = 19,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

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