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Title: 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:
 [1];  [2];  [1]
  1. Univ. of California, Davis, CA (United States)
  2. 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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