Continuous Time Quantum Monte Carlo method for fermions

Details Continuous Time Quantum Monte Carlo method for fermions Continuous Time Quantum Monte Carlo method for fermions

2004-11-12

arxiv.org/abs/cond-mat/0411344v2

Phys. Rev. B 72 035122 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 7 Figures

Scientific paper

10.1103/PhysRevB.72.035122

We present numerically exact continuous-time Quantum Monte Carlo algorithm for fermions with a general non-local in space-time interaction. 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 multi-band 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 multi-band super-symmetric model with a spin-flip interaction are discussed.

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