Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
Abstract
Over the past several years, a new generation of quantum simulations has greatly expanded our understanding of charge density wave phase transitions in Hamiltonians with coupling between local phonon modes and the on-site charge density. A quite different, and interesting, case is one in which the phonons live on the bonds, and hence modulate the electron hopping. This example, described by the Su-Schrieffer-Heeger (SSH) Hamiltonian, has so far only been studied with quantum Monte Carlo in one dimension. Here we present results for the 2D SSH model, show that a bond ordered wave (BOW) insulator is present in the ground state at half filling, and argue that a critical value of the electron-phonon coupling is required for its onset, in contradistinction with the 1D case where BOW exists for any nonzero coupling. We determine the precise nature of the bond ordering pattern, which has hitherto been controversial, and the critical transition temperature, which is associated with a spontaneous breaking of Ζ4 symmetry.
- Authors:
-
[1];
- Singapore Univ. of Technology and Design (Singapore)
- Univ. of California, Davis, CA (United States)
- Universite Cote d'Azur, Nice (France); National Univ. of Singapore (Singapore); Beijing Computational Science Research Center, Beijing (China)
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1851972
- Grant/Contract Number:
- SC0014671
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 126; Journal Issue: 1; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Electron-phonon coupling; Order parameters; Quantum phase transitions; Two-dimensional electron system; Lattice models in condensed matter; Quantum Monte Carlo
Citation Formats
Xing, Bo, Chiu, Wei-Ting, Poletti, Dario, Scalettar, R. T., and Batrouni, George. Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model. United States: N. p., 2021.
Web. doi:10.1103/physrevlett.126.017601.
Xing, Bo, Chiu, Wei-Ting, Poletti, Dario, Scalettar, R. T., & Batrouni, George. Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model. United States. https://doi.org/10.1103/physrevlett.126.017601
Xing, Bo, Chiu, Wei-Ting, Poletti, Dario, Scalettar, R. T., and Batrouni, George. Thu .
"Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model". United States. https://doi.org/10.1103/physrevlett.126.017601. https://www.osti.gov/servlets/purl/1851972.
@article{osti_1851972,
title = {Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model},
author = {Xing, Bo and Chiu, Wei-Ting and Poletti, Dario and Scalettar, R. T. and Batrouni, George},
abstractNote = {Over the past several years, a new generation of quantum simulations has greatly expanded our understanding of charge density wave phase transitions in Hamiltonians with coupling between local phonon modes and the on-site charge density. A quite different, and interesting, case is one in which the phonons live on the bonds, and hence modulate the electron hopping. This example, described by the Su-Schrieffer-Heeger (SSH) Hamiltonian, has so far only been studied with quantum Monte Carlo in one dimension. Here we present results for the 2D SSH model, show that a bond ordered wave (BOW) insulator is present in the ground state at half filling, and argue that a critical value of the electron-phonon coupling is required for its onset, in contradistinction with the 1D case where BOW exists for any nonzero coupling. We determine the precise nature of the bond ordering pattern, which has hitherto been controversial, and the critical transition temperature, which is associated with a spontaneous breaking of Ζ4 symmetry.},
doi = {10.1103/physrevlett.126.017601},
journal = {Physical Review Letters},
number = 1,
volume = 126,
place = {United States},
year = {Thu Jan 07 00:00:00 EST 2021},
month = {Thu Jan 07 00:00:00 EST 2021}
}
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