Continuous-time quantum Monte Carlo method for fermions

A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein
Phys. Rev. B 72, 035122 – Published 18 July 2005

Abstract

We present a numerically exact continuous-time quantum Monte Carlo algorithm for fermions with a general interaction nonlocal in space-time. The new determinantal grand-canonical scheme is based on a stochastic series expansion for the partition function in the interaction representation. The method is particularly applicable for multiband, time-dependent correlations since it does not invoke the Hubbard-Stratonovich transformation. The test calculations for exactly solvable models, as well results for the Green function and for the time-dependent susceptibility of the multiband supersymmetric model with a spin-flip interaction are discussed.

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  • Received 17 November 2004

DOI:https://doi.org/10.1103/PhysRevB.72.035122

©2005 American Physical Society

Authors & Affiliations

A. N. Rubtsov1, V. V. Savkin2, and A. I. Lichtenstein3,*

  • 1Department of Physics, Moscow State University, 119992 Moscow, Russia
  • 2Institute of Theoretical Physics, University of Nijmegen, 6525 ED Nijmegen, The Netherlands
  • 3Institute of Theoretical Physics, University of Hamburg, 20355 Hamburg, Germany

  • *Electronic address: alichten@physnet.uni-hamburg.de

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Issue

Vol. 72, Iss. 3 — 15 July 2005

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