Quantum Monte Carlo with the Langevin Equation: Coupled Bose-Fermi Systems
- 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)
- Univ. of California, Davis, CA (United States)
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.
- Research Organization:
- Univ. of California, Davis, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Research Agency (ANR)
- Grant/Contract Number:
- SC0014671
- OSTI ID:
- 1597082
- Journal Information:
- Journal of Physics. Conference Series, Vol. 1290; ISSN 1742-6588
- Publisher:
- IOP PublishingCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
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