Lattice approaches to dilute Fermi gases: Legacy of broken Galilean invariance (Articolo in rivista)

Type
Label
  • Lattice approaches to dilute Fermi gases: Legacy of broken Galilean invariance (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevA.85.013640 (literal)
Alternative label
  • Privitera, A.; Capone, M. (2012)
    Lattice approaches to dilute Fermi gases: Legacy of broken Galilean invariance
    in Physical review. A; APS, American physical society, College Park, MD (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Privitera, A.; Capone, M. (literal)
Pagina inizio
  • 013640 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://pra.aps.org/abstract/PRA/v85/i1/e013640 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 85 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1Democritos National Simulation Center, Consiglio Nazionale delle Ricerche, Istituto Officina dei Materiali (IOM) and Scuola Internazionale Superiore di Studi Avanzati (SISSA), Via Bonomea 265, I-34136 Trieste, Italy 2Dipartimento di Fisica, Università di Roma \"La Sapienza,\" Piazzale Aldo Moro 2, I-00185 Roma, Italy (literal)
Titolo
  • Lattice approaches to dilute Fermi gases: Legacy of broken Galilean invariance (literal)
Abstract
  • In the dilute limit, the properties of fermionic lattice models with short-range attractive interactions converge to those of a dilute Fermi gas in continuum space. We investigate this connection using mean-field theory, and we show that the existence of finite lattice spacing has consequences down to very small densities. In particular, we show that the reduced translational invariance associated with the lattice periodicity has a pivotal role in the finite-density corrections to the universal zero-density limit. For a parabolic dispersion with a sharp cutoff, we provide an analytical expression for the corrections, and we find that the unavoidable cutoff contributes at leading-order to the corrections to the relevant observables. In a generic lattice we find a universal power-law behavior n1/3 which leads to significant corrections already for small densities. Our results place strong constraints on lattice extrapolations of dilute Fermi gas properties. (literal)
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