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METHODS OF THEORETICAL PHYSICS

Continuous time quantum Monte Carlo method for fermions: beyond auxiliary field framework

A. N. Rubtsov^a, A. I. Lichtenstein<sup>b

a</sup> Physics department, Moscow State University, 119992 Moscow, Russia
^b Institute of Theoretical Physics, University of Hamburg, 20355 Hamburg, Germany

Abstract: Numerically exact continuous-time Quantum Monte Carlo algorithm for finite fermionic systems with non-local interactions is proposed. The scheme is particularly applicable for general multi-band time-dependent correlations since it does not invoke Hubbard – Stratonovich transformation. The present determinantal grand-canonical method is based on a stochastic series expansion for the partition function in the interaction representation. The results for the Green function and for the time-dependent susceptibility of multi-orbital super-symmetric impurity model with a spin-flip interaction are presented.

PACS: 02.70.Ss, 71.10.Fd, 71.27.+a

Received: 23.05.2004

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2004, 80:1, 61–65

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