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Self-learning quantum Monte Carlo method in interacting fermion systems

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Author(s)
Xu, Xiao Yan
•
Qi, Yang
•
Liu, Junwei
•
Fu, Liang
•
Meng, Zi Yang
Date Issued
July 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Xu, Xiao Yan et al. “Self-Learning Quantum Monte Carlo Method in Interacting Fermion Systems.” Physical Review B 96.4 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
The self-learning Monte Carlo method is a powerful general-purpose numerical method recently introduced to simulate many-body systems. In this work, we extend it to an interacting fermion quantum system in the framework of the widely used determinant quantum Monte Carlo. This method can generally reduce the computational complexity and moreover can greatly suppress the autocorrelation time near a critical point. This enables us to simulate an interacting fermion system on a 100×100 lattice even at the critical point and obtain critical exponents with high precision.
MIT Department
Massachusetts Institute of Technology. Materials Processing Center
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/110782
DOI of Published Version
https://doi.org/10.1103/PhysRevB.96.041119
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