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arXiv 1005.3576cond-mat.quant-gas
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二维光晶格中双组分费米子原子的热力学性质

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

Kensuke Inaba, Makoto Yamashita

摘要:

研究了二维光晶格中两组元费米子原子的有限温度性质。我们将自能泛函方法应用于具有谐波俘获势的二维哈伯德模型,系统地研究了该系统的热力学性质。我们发现,熵和宏大的潜力之间的交叉莫特绝缘和金属相在一定温度下提供的证据。此外,我们发现熵在较低的温度下表现出尖点状的异常,表明二阶或更高阶的反铁磁转变。我们估计了反铁磁转变温度,并阐明了捕获势如何影响这种磁性转变。

英文摘要:

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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