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Title: Quantum Monte Carlo with the Langevin Equation: Coupled Bose-Fermi Systems

Abstract

We describe the algorithmic details and a performance evaluation of a Langevin approach to a strongly interacting electron-phonon system, and show it has a near linear scaling with lattice size N s . Many of the limitations of previous attempts to employ such methods to condensed matter lattice Hamiltonians are absent. In particular, the iterative linear algebra solution remains well behaved at strong coupling and low temperatures. The use of Fourier Acceleration is crucial for efficiency, and its use makes the method competitive with the widely-used local update methods, which scale as $${N}_{s}^{3}$$ for on-site interactions and $${N}_{s}^{4}$$ for long range electron-phonon coupling, even on rather small lattice sizes.

Authors:
 [1];  [2]
  1. Univ. of Côte d'Azur, Nice (France); CNRS-UCA-SU-NUS-NTU International Joint Research Unit (Singapore); National Univ. of Singapore (Singapore); Beijing Computational Science Research Center (China)
  2. 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), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Research Agency (ANR)
OSTI Identifier:
1597082
Grant/Contract Number:  
SC0014671
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. Conference Series
Additional Journal Information:
Journal Volume: 1290; Journal ID: ISSN 1742-6588
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

George Batrouni, G., and Scalettar, Richard T. Quantum Monte Carlo with the Langevin Equation: Coupled Bose-Fermi Systems. United States: N. p., 2019. Web. https://doi.org/10.1088/1742-6596/1290/1/012004.
George Batrouni, G., & Scalettar, Richard T. Quantum Monte Carlo with the Langevin Equation: Coupled Bose-Fermi Systems. United States. https://doi.org/10.1088/1742-6596/1290/1/012004
George Batrouni, G., and Scalettar, Richard T. Tue . "Quantum Monte Carlo with the Langevin Equation: Coupled Bose-Fermi Systems". United States. https://doi.org/10.1088/1742-6596/1290/1/012004. https://www.osti.gov/servlets/purl/1597082.
@article{osti_1597082,
title = {Quantum Monte Carlo with the Langevin Equation: Coupled Bose-Fermi Systems},
author = {George Batrouni, G. and Scalettar, Richard T.},
abstractNote = {We describe the algorithmic details and a performance evaluation of a Langevin approach to a strongly interacting electron-phonon system, and show it has a near linear scaling with lattice size N s . Many of the limitations of previous attempts to employ such methods to condensed matter lattice Hamiltonians are absent. In particular, the iterative linear algebra solution remains well behaved at strong coupling and low temperatures. The use of Fourier Acceleration is crucial for efficiency, and its use makes the method competitive with the widely-used local update methods, which scale as ${N}_{s}^{3}$ for on-site interactions and ${N}_{s}^{4}$ for long range electron-phonon coupling, even on rather small lattice sizes.},
doi = {10.1088/1742-6596/1290/1/012004},
journal = {Journal of Physics. Conference Series},
number = ,
volume = 1290,
place = {United States},
year = {2019},
month = {10}
}

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