Charge density waves on a half-filled decorated honeycomb lattice
Abstract
Tight binding models like the Hubbard Hamiltonian are most often explored in the context of uniform intersite hopping $$\textit{t}$$. The electron-electron interactions, if sufficiently large compared to this translationally invariant $$\textit{t}$$, can give rise to ordered magnetic phases and Mott insulator transitions, especially at commensurate filling. The more complex situation of nonuniform $$\textit{t}$$ has been studied within a number of situations, perhaps most prominently in multiband geometries where there is a natural distinction of hopping between orbitals of different degree of overlap. In this paper we explore related questions arising from the interplay of multiple kinetic energy scales and electron-phonon interactions. Specifically, we use determinant quantum Monte Carlo (DQMC) to solve the half-filled Holstein Hamiltonian on a “decorated honeycomb lattice,” consisting of hexagons with internal hopping $$\textit{t}$$ coupled together by $$\textit{t'}$$. This modulation of the hopping introduces a gap in the Dirac spectrum and affects the nature of the topological phases. Here, we determine the range of $$\textit{t/t'}$$ values which support a charge density wave phase about the Dirac point of uniform hopping $$\textit{t = t'}$$, as well as the critical transition temperature $$T_c$$. The QMC simulations are compared with the results of mean field theory.
- Authors:
-
- Univ. of California, Davis, CA (United States)
- Beihang University, Beijing (China)
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1802700
- Grant/Contract Number:
- SC0014671; 11774019
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 20; 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
Citation Formats
Feng, Chunhan, Guo, Huaiming, and Scalettar, Richard T. Charge density waves on a half-filled decorated honeycomb lattice. United States: N. p., 2020.
Web. doi:10.1103/physrevb.101.205103.
Feng, Chunhan, Guo, Huaiming, & Scalettar, Richard T. Charge density waves on a half-filled decorated honeycomb lattice. United States. https://doi.org/10.1103/physrevb.101.205103
Feng, Chunhan, Guo, Huaiming, and Scalettar, Richard T. Mon .
"Charge density waves on a half-filled decorated honeycomb lattice". United States. https://doi.org/10.1103/physrevb.101.205103. https://www.osti.gov/servlets/purl/1802700.
@article{osti_1802700,
title = {Charge density waves on a half-filled decorated honeycomb lattice},
author = {Feng, Chunhan and Guo, Huaiming and Scalettar, Richard T.},
abstractNote = {Tight binding models like the Hubbard Hamiltonian are most often explored in the context of uniform intersite hopping $\textit{t}$. The electron-electron interactions, if sufficiently large compared to this translationally invariant $\textit{t}$, can give rise to ordered magnetic phases and Mott insulator transitions, especially at commensurate filling. The more complex situation of nonuniform $\textit{t}$ has been studied within a number of situations, perhaps most prominently in multiband geometries where there is a natural distinction of hopping between orbitals of different degree of overlap. In this paper we explore related questions arising from the interplay of multiple kinetic energy scales and electron-phonon interactions. Specifically, we use determinant quantum Monte Carlo (DQMC) to solve the half-filled Holstein Hamiltonian on a “decorated honeycomb lattice,” consisting of hexagons with internal hopping $\textit{t}$ coupled together by $\textit{t'}$. This modulation of the hopping introduces a gap in the Dirac spectrum and affects the nature of the topological phases. Here, we determine the range of $\textit{t/t'}$ values which support a charge density wave phase about the Dirac point of uniform hopping $\textit{t = t'}$, as well as the critical transition temperature $T_c$. The QMC simulations are compared with the results of mean field theory.},
doi = {10.1103/physrevb.101.205103},
journal = {Physical Review B},
number = 20,
volume = 101,
place = {United States},
year = {Mon May 04 00:00:00 EDT 2020},
month = {Mon May 04 00:00:00 EDT 2020}
}
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