Linearized auxiliary fields Monte Carlo technique: Efficient sampling of the fermion sign (Articolo in rivista)

Type
Label
  • Linearized auxiliary fields Monte Carlo technique: Efficient sampling of the fermion sign (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevB.84.241110 (literal)
Alternative label
  • Sorella, Sandro (2011)
    Linearized auxiliary fields Monte Carlo technique: Efficient sampling of the fermion sign
    in Physical review. B, Condensed matter and materials physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Sorella, Sandro (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 84 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 4 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 24 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • International School for Advanced Studies; Consiglio Nazionale delle Ricerche (CNR) (literal)
Titolo
  • Linearized auxiliary fields Monte Carlo technique: Efficient sampling of the fermion sign (literal)
Abstract
  • We introduce a method that combines the power of both the lattice Green' function Monte Carlo (LGFMC) with the auxiliary field quantum Monte Carlo (AFQMC) techniques, and allows us to compute exact ground-state properties of the Hubbard model for U less than or similar to 4t on finite clusters. Thanks to LGFMC, one obtains unbiased zero temperature results, not affected by the so-called Trotter approximation of the imaginary time propagator e(-H tau). At the same time, the AFQMC formalism yields a remarkably fast convergence in tau before the fermion sign problem becomes prohibitive. As an application we report ground-state energies of the Hubbard model at U/t = 4 with up to 100 sites. (literal)
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