TY - JOUR

T1 - Superfluid-to-insulator phase transition in a unitary Fermi gas

AU - Barnea, Nir

PY - 2008/11/24

Y1 - 2008/11/24

N2 - We study the properties of a dilute low-energy two-component Fermi gas. To this end, we approximate the Fermi gas by the Hubbard lattice Hamiltonian and solve it using the dynamical mean-field approximation. At unitarity, this approximation yields the value ξ0.44 for the ratio between the ground-state energy per particle of the interacting and free systems (EN=ξ EFG), in remarkable agreement with full quantum Monte Carlo simulations. Investigating the evolution of the system with temperature, we have found that below the critical temperature Tc, the system is a superfluid and the energy gap is decreasing monotonously. For temperatures above Tc, the system is an insulator and the corresponding energy gap is monotonously increasing.

AB - We study the properties of a dilute low-energy two-component Fermi gas. To this end, we approximate the Fermi gas by the Hubbard lattice Hamiltonian and solve it using the dynamical mean-field approximation. At unitarity, this approximation yields the value ξ0.44 for the ratio between the ground-state energy per particle of the interacting and free systems (EN=ξ EFG), in remarkable agreement with full quantum Monte Carlo simulations. Investigating the evolution of the system with temperature, we have found that below the critical temperature Tc, the system is a superfluid and the energy gap is decreasing monotonously. For temperatures above Tc, the system is an insulator and the corresponding energy gap is monotonously increasing.

UR - http://www.scopus.com/inward/record.url?scp=56849114907&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.78.053629

DO - 10.1103/PhysRevA.78.053629

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AN - SCOPUS:56849114907

SN - 1050-2947

VL - 78

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 5

M1 - 053629

ER -