Fermion sign problem: Decoupling transformation and simulation algorithm
- Thinking Machines Corporation, 245 First Street, Cambridge, Massachusetts 02142 (United States)
- 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), Vol. 48:1; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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HUBBARD MODEL
FERMI GAS MODEL
MONTE CARLO METHOD
COMPUTERIZED SIMULATION
HIGH-TC SUPERCONDUCTORS
THEORETICAL DATA
CALCULATION METHODS
CRYSTAL MODELS
DATA
INFORMATION
MATHEMATICAL MODELS
NUCLEAR MODELS
NUMERICAL DATA
SIMULATION
SUPERCONDUCTORS
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