Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice

Details Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice

2010-05-20

arxiv.org/abs/1005.3576v1

Phys. Rev. A 81, 063615 (2010)

Physics

Condensed Matter

Quantum Gases

9 pages, 13 figures

Scientific paper

10.1103/PhysRevA.81.063615

We study the finite temperature properties of two-component fermionic atoms trapped in a two-dimensional optical lattice. We apply the self-energy functional approach to the two-dimensional Hubbard model with a harmonic trapping potential, and systematically investigate the thermodynamic properties of this system. We find that entropy and grand potential provide evidence of a crossover between the Mott insulating and metallic phases at certain temperatures. In addition, we find that entropy exhibits a cusp-like anomaly at lower temperatures, suggesting a second or higher order antiferromagnetic transition. We estimate the antiferromagnetic transition temperatures, and clarify how the trapping potential affects this magnetic transition.

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