MONTE CARLO DIAGONALIZATION OF VERY LARGE MATRICES: APPLICATION TO FERMION SYSTEMS

H. de Raedt and W. von der Linden
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H. de Raedt: Institute for Theoretical Physics, University of Groningen, P.O. BOX 800, NL-9700 AV Groningen, The Netherlands
W. von der Linden: Max-Planck-Institute für Plasmaphysik, D-8046 Garching bei München, United Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 01, 97-104

Abstract: All known Quantum-Monte-Carlo algorithms for fermions suffer from the so-called “minus-sign-problem” which is detrimental to the application of these simulation methods to fermion systems at very low temperatures and/or of very many lattice sites. We identify the origin of this fundamental problem, demonstrate that it is a very general feature, not necessarily related to the presence of fermionic degrees of freedom. We describe an novel algorithm which does not suffer from the minus-sign problem. Illustrative results for the two-dimensional Hubbard model are presented

Keywords: Monte Carlo; Fermions; Minus-sign problem (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000087

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