Fermion sign problem: Decoupling transformation and simulation algorithm

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.589· OSTI ID:5429941

Batrouni, G G ^[1]; de Forcrand, P ^[2]

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1. Thinking Machines Corporation, 245 First Street, Cambridge, Massachusetts 02142 (United States)
2. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We discuss the fermion sign problem and, by examining a very general Hubbard-Stratonovich transformation, argue that the sign problem cannot be solved with such methods. We propose a different kind of transformation which, while not solving the sign problem, shows more detailed information about the system. With our transformation it is [ital trivial] to tell which auxiliary field configurations give a positive sign and which give a negative sign. We then discuss briefly various properties of this transformation and construct an algorithm which with one simulation gives results for a whole range of particle densities and Hubbard [ital U] values, positive and negative. Our approach is in excellent agreement with exact calculations.

• OSTI ID: 5429941
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:1; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

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