Supersolid state in a fermionic optical lattice system

Koga, Akihisa; Higashiyama, Takuji; Suga, Sei–ichiro; Kawakami, Norio

doi:10.1088/1742-6596/150/3/032046

Cited by 1 publication

(2 citation statements)

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“…Studies of the AHM with inhomogeneity have been performed with Variational Monte Carlo, 19 Bogoliubov de-Gennes, 20,21 and Gutzwiller approaches. 22,23 Of particular relevance here is work within dynamical mean field theory (DMFT) and a two-site impurity solver 24 , which suggested that the half-filled physics is stabilized by a confining potential, and that an extended supersolid phase of commensurate density exists in a trap.…”

Section: Introductionmentioning

confidence: 99%

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Superconductivity and charge order of confined Fermi systems

et al. 2012

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The low-temperature properties of the two-dimensional attractive Hubbard model are strongly influenced by the fermion density. Away from half-filling, there is a finite-temperature transition to a phase with s-wave pairing order. However, Tc is suppressed to zero at half-filling, where long-range charge-density-wave order also appears, degenerate with superconductivity. This paper presents Determinant Quantum Monte Carlo simulations of the attractive Hubbard model in the presence of a confining potential Vtrap which makes the fermion density ρ inhomogeneous across the lattice. Pair correlations are shown to be large at low temperatures in regions of the trapped system with incommensurate filling, and to exhibit a minimum as the local density ρ(i) passes through one fermion per site. In this ring of ρ(i) = 1, charge order is enhanced. A comparison is made between treating Vtrap within the local-density approximation (LDA) and in an ab initio manner. It is argued that certain sharp features of the LDA result at integer filling do not survive the proximity of doped sites. The critical temperature of confined systems of fixed characteristic density is estimated.

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Section: Introductionmentioning

confidence: 99%

“…22,23 Of particular relevance here is work within dynamical mean field theory (DMFT) and a two-site impurity solver 24 , which suggested that the half-filled physics is stabilized by a confining potential, and that an extended supersolid phase of commensurate density exists in a trap.…”

mentioning

confidence: 99%