A novel technique for the simulation of interacting fermion systems

S. Sorella, S. Baroni, Roberto Car, M. Parrinello

Research output: Contribution to journalArticle

177 Scopus citations

Abstract

A new method for the simulation of ground-state properties of interacting fermions is introduced. A trial wave function, which is assumed to be a Slater determinant, is propagated to large imaginary times. The quantum many-body propagator is represented by a coherent superposition of single-particle propagators by means of a Hubbard-Stratonovich transformation. The resulting functional integral is performed by stochastic methods based on Langevin dynamics. Numerical stability is achieved by orthonormalizing the propagating single-particle orbitals entering the Slater determinant. The problem of the positiveness of the statistical weight is addressed and solved in most cases. Illustrative examples are given for the 1D and 2D Hubbard models.

Original languageEnglish (US)
Pages (from-to)663-668
Number of pages6
JournalEPL
Volume8
Issue number7
DOIs
StatePublished - Apr 1 1989

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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