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Article
Geometry dependence of the sign problem in quantum Monte Carlo simulations
Physical Review B (2015)
  • V. I. Iglovikov, University of California, Davis
  • Ehsan Khatami, San Jose State University
  • R. T. Scalettar, University of California, Davis
Abstract
The sign problem is the fundamental limitation to quantum Monte Carlo simulations of the statistical mechanics of interacting fermions. Determinant quantum Monte Carlo (DQMC) is one of the leading methods to study lattice fermions, such as the Hubbard Hamiltonian, which describe strongly correlated phenomena including magnetism, metal-insulator transitions, and possibly exotic superconductivity. Here, we provide a comprehensive dataset on the geometry dependence of the DQMC sign problem for different densities, interaction strengths, temperatures, and spatial lattice sizes. We supplement these data with several observations concerning general trends in the data, including the dependence on spatial volume and how this can be probed by examining decoupled clusters, the scaling of the sign in the vicinity of a particle-hole symmetric point, and the correlation between the total sign and the signs for the individual spin species.
Disciplines
Publication Date
2015
DOI
10.1103/PhysRevB.92.045110
Publisher Statement
This article originally appeared in Physical Review B, volume 92, issue 4, 2015, published by the American Physical Society. ©2015 American Physical Society. The article can also be found online at this link.

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Citation Information
V. I. Iglovikov, Ehsan Khatami and R. T. Scalettar. "Geometry dependence of the sign problem in quantum Monte Carlo simulations" Physical Review B Vol. 92 Iss. 4 (2015) ISSN: 2469-9950
Available at: http://works.bepress.com/ehsan_khatami/21/