Antiferromagnetic transitions of Dirac fermions in three dimensions
Abstract
We use determinant quantum Monte Carlo simulations to study the role of electron-electron interactions on three-dimensional (3D) Dirac fermions based on the π-flux model on a cubic lattice. We show that the Hubbard interaction drives the 3D Dirac semimetal to an antiferromagnetic (AF) insulator only above a finite critical interaction strength and the long-range AF order persists up to a finite temperature. We evaluate the critical interaction strength and temperatures using finite-size scaling of the spin structure factor. The critical behaviors are consistent with the (3+1)-dimensional Gross-Neveu universality class for the quantum critical point and 3D Heisenberg universality class for the thermal phase transitions. We further investigate correlation effects in the birefringent Dirac fermion system. It is found that the critical interaction strength Uc is decreased by reducing the velocity of the Dirac cone, quantifying the effect of velocity on the critical interaction strength in 3D Dirac fermion systems. Our findings unambiguously uncover correlation effects in 3D Dirac fermions and may be observed using ultracold atoms in an optical lattice.
- Authors:
-
[1];
[3];
[1]
- Beijing Normal University (China)
- Beihang University, Beijing (China)
- Univ. of Alberta, Edmonton, AB (Canada)
- 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)
- OSTI Identifier:
- 1851968
- Grant/Contract Number:
- SC0014671
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 15; 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; Materials Science; Physics; Antiferromagnetism; Phase separation; Quantum phase transitions; Strongly correlated systems; Hubbard model; Mean field theory; Quantum Monte Carlo
Citation Formats
Huang, Yiqun, Guo, Huaiming, Maciejko, Joseph, Scalettar, Richard T., and Feng, Shiping. Antiferromagnetic transitions of Dirac fermions in three dimensions. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.155152.
Huang, Yiqun, Guo, Huaiming, Maciejko, Joseph, Scalettar, Richard T., & Feng, Shiping. Antiferromagnetic transitions of Dirac fermions in three dimensions. United States. https://doi.org/10.1103/physrevb.102.155152
Huang, Yiqun, Guo, Huaiming, Maciejko, Joseph, Scalettar, Richard T., and Feng, Shiping. Fri .
"Antiferromagnetic transitions of Dirac fermions in three dimensions". United States. https://doi.org/10.1103/physrevb.102.155152. https://www.osti.gov/servlets/purl/1851968.
@article{osti_1851968,
title = {Antiferromagnetic transitions of Dirac fermions in three dimensions},
author = {Huang, Yiqun and Guo, Huaiming and Maciejko, Joseph and Scalettar, Richard T. and Feng, Shiping},
abstractNote = {We use determinant quantum Monte Carlo simulations to study the role of electron-electron interactions on three-dimensional (3D) Dirac fermions based on the π-flux model on a cubic lattice. We show that the Hubbard interaction drives the 3D Dirac semimetal to an antiferromagnetic (AF) insulator only above a finite critical interaction strength and the long-range AF order persists up to a finite temperature. We evaluate the critical interaction strength and temperatures using finite-size scaling of the spin structure factor. The critical behaviors are consistent with the (3+1)-dimensional Gross-Neveu universality class for the quantum critical point and 3D Heisenberg universality class for the thermal phase transitions. We further investigate correlation effects in the birefringent Dirac fermion system. It is found that the critical interaction strength Uc is decreased by reducing the velocity of the Dirac cone, quantifying the effect of velocity on the critical interaction strength in 3D Dirac fermion systems. Our findings unambiguously uncover correlation effects in 3D Dirac fermions and may be observed using ultracold atoms in an optical lattice.},
doi = {10.1103/physrevb.102.155152},
journal = {Physical Review. B},
number = 15,
volume = 102,
place = {United States},
year = {Fri Oct 30 00:00:00 EDT 2020},
month = {Fri Oct 30 00:00:00 EDT 2020}
}
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