Finite-density corrections to the unitary Fermi gas: A lattice perspective from dynamical mean-field theory (Articolo in rivista)

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  • Finite-density corrections to the unitary Fermi gas: A lattice perspective from dynamical mean-field theory (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevB.81.014523 (literal)
Alternative label
  • Antonio Privitera (1,2); Massimo Capone (1,3); Claudio Castellani (1) (2010)
    Finite-density corrections to the unitary Fermi gas: A lattice perspective from dynamical mean-field theory
    in Physical review. B, Condensed matter and materials physics; APS, American physical society, College Park, MD (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Antonio Privitera (1,2); Massimo Capone (1,3); Claudio Castellani (1) (literal)
Pagina inizio
  • 014523 (literal)
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  • http://link.aps.org/doi/10.1103/PhysRevB.81.014523 (literal)
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  • 81 (literal)
Rivista
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  • 9 (literal)
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  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) CRS SMC, CNR-INFM and Dipartimento di Fisica, Università di Roma \"La Sapienza,\" Piazzale Aldo Moro 2, I-00185 Roma, Italy 2) Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, 60438 Frankfurt am Main, Germany 3) ISC-CNR, Via dei Taurini 19, I-00185 Roma, Italy (literal)
Titolo
  • Finite-density corrections to the unitary Fermi gas: A lattice perspective from dynamical mean-field theory (literal)
Abstract
  • We investigate the approach to the universal regime of the dilute unitary Fermi gas as the density is reduced to zero in a lattice model. To this end we study the chemical potential, superfluid order parameter and internal energy of the attractive Hubbard model in three different lattices with densities of states (DOSs) which share the same low-energy behavior of fermions in three-dimensional free space: a cubic lattice, a \"Bethe lattice\" with a semicircular DOS, and a \"lattice gas\" with parabolic dispersion and a sharp energy cutoff that ensures the normalization of the DOS. The model is solved using dynamical mean-field theory, that treats directly the thermodynamic limit and arbitrarily low densities, eliminating finite-size effects. At densities on the order of one fermion per site the lattice and its specific form dominate the results. The evolution to the low-density limit is smooth and it does not allow to define an unambiguous low-density regime. Such finite-density effects are significantly reduced using the lattice gas, and they are maximal for the three-dimensional cubic lattice. Even though dynamical mean-field theory is bound to reduce to the more standard static mean field in the limit of zero density due to the local nature of the self-energy and of the vertex functions, it compares well with accurate Monte Carlo simulations down to the lowest densities accessible to the latter. (literal)
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