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

Journal Article · Tue May 28 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.99.195147· OSTI ID:1597048

Zhang, Lufeng ^[1]; Ma, Tianxing ^[1]; Costa, Natanael C. ^[2]; dos Santos, Raimundo R. ^[3]; Scalettar, Richard T. ^[4]

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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)

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.

• Research Organization: Univ. of California, Davis, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; NSFC; Beijing Natural Science Foundation
• Grant/Contract Number: SC0014671; 11774033; 1192011
• OSTI ID: 1597048
• Journal Information: Physical Review B, Vol. 99, Issue 19; ISSN 2469-9950
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Antiferromagnetism
Kondo effect
Heavy-fermion systems
Anderson impurity model
Kondo lattice model
Quantum Monte Carlo