Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model
Abstract
The competition between antiferromagnetic (AF) order and singlet formation is a central phenomenon of the Kondo and Periodic Anderson Hamiltonians, and of the heavy fermion materials they describe. In this paper, we explore the effects of an additional conduction band on magnetism in these models, and, specifically, on changes in the AF-singlet quantum critical point (QCP) and the one particle and spin spectral functions. To understand the magnetic phase transition qualitatively, we first carry out a self-consistent mean field theory (MFT). The basic conclusion is that, at half-filling, the coupling to the additional band stabilizes the AF phase to larger f d hybridization V in the PAM. We also explore the possibility of competing ferromagnetic phases when this conduction band is doped away from half-filling. We next employ Quantum Monte Carlo (QMC) which, in combination with finite size scaling, allows us to evaluate the position of the QCP using an exact treatment of the interactions. This approach confirms the stabilization of AF order, which occurs through an enhancement of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. QMC results for the spectral function A(q,ω) and dynamic spin structure factor χ(q,ω) yield additional insight into the AF-singlet competition and the low temperature phases.
- Authors:
-
- Univ. of California, Davis, CA (United States). Dept. of Physics
- Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Univ. of North Dakota, Grand Forks, ND (United States). Dept. of Physics and Astrophysics
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1369394
- Alternate Identifier(s):
- OSTI ID: 1363714; OSTI ID: 1477010
- Grant/Contract Number:
- SC0014671; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 23; 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
Citation Formats
Hu, Wenjian, Scalettar, Richard T., Huang, Edwin W., and Moritz, Brian. Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.235122.
Hu, Wenjian, Scalettar, Richard T., Huang, Edwin W., & Moritz, Brian. Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model. United States. https://doi.org/10.1103/PhysRevB.95.235122
Hu, Wenjian, Scalettar, Richard T., Huang, Edwin W., and Moritz, Brian. Mon .
"Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model". United States. https://doi.org/10.1103/PhysRevB.95.235122. https://www.osti.gov/servlets/purl/1369394.
@article{osti_1369394,
title = {Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model},
author = {Hu, Wenjian and Scalettar, Richard T. and Huang, Edwin W. and Moritz, Brian},
abstractNote = {The competition between antiferromagnetic (AF) order and singlet formation is a central phenomenon of the Kondo and Periodic Anderson Hamiltonians, and of the heavy fermion materials they describe. In this paper, we explore the effects of an additional conduction band on magnetism in these models, and, specifically, on changes in the AF-singlet quantum critical point (QCP) and the one particle and spin spectral functions. To understand the magnetic phase transition qualitatively, we first carry out a self-consistent mean field theory (MFT). The basic conclusion is that, at half-filling, the coupling to the additional band stabilizes the AF phase to larger f d hybridization V in the PAM. We also explore the possibility of competing ferromagnetic phases when this conduction band is doped away from half-filling. We next employ Quantum Monte Carlo (QMC) which, in combination with finite size scaling, allows us to evaluate the position of the QCP using an exact treatment of the interactions. This approach confirms the stabilization of AF order, which occurs through an enhancement of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. QMC results for the spectral function A(q,ω) and dynamic spin structure factor χ(q,ω) yield additional insight into the AF-singlet competition and the low temperature phases.},
doi = {10.1103/PhysRevB.95.235122},
journal = {Physical Review B},
number = 23,
volume = 95,
place = {United States},
year = {Mon Jun 12 00:00:00 EDT 2017},
month = {Mon Jun 12 00:00:00 EDT 2017}
}
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Works referencing / citing this record:
Finite temperature physics of 1D topological Kondo insulator: Stable Haldane phase, emergent energy scale and beyond
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