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

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.063615· OSTI ID:21437944

Inaba, Kensuke; Yamashita, Makoto ^[1]

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1. NTT Basic Research Laboratories, NTT Corporation, Atsugi 243-0198, Japan and Japan Science and Technology Agency, CREST, Chiyoda-ku, Tokyo 102-0075 (Japan)

We study the finite-temperature properties of two-component fermionic atoms trapped in a two-dimensional (2D) optical lattice. We apply the self-energy functional approach to the 2D 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 the metallic phases at certain temperatures. In addition, we find that entropy exhibits a cusplike 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.

• OSTI ID: 21437944
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
ATOMS
CRYSTAL MODELS
ENERGY
ENTROPY
FERMIONS
HUBBARD MODEL
MAGNETISM
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
POTENTIALS
SELF-ENERGY
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
TRAPPING
TWO-DIMENSIONAL CALCULATIONS