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arXiv 1201.5874cond-mat.str-elquant-ph
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四分之一填充哈伯德模型:光晶格中的量子Hall态

Quarter-filled Kitaev-Hubbard Model: A Quantum Hall State in an Optical Lattice

S. R. Hassan, Sandeep K Goyal, R. Shankar, David Sénéchal

摘要:

我们分析了蜂窝状光晶格中冷原子的物理性质,其中包括在位排斥和自旋-轨道耦合。这种系统,在半填充和大的现场排斥,已被提出作为一个可能的实现Kitaev模型。自旋-轨道耦合打破了自旋简并,如果足够强,在非相互作用极限下会导致四个不重叠的带。这些能带携带非零的陈数,因此非相互作用系统在1/4和3/4填充时具有非零的角动量和手征边缘态。我们用变分集团微扰理论研究了相互作用的影响,得出了在有限的相互作用范围和跳跃参数空间中存在手征边缘态的结论。

英文摘要:

We analyze the Physics of cold atoms in honeycomb optical lattices with on-site repulsion and spin-orbit couplings that break time reversal symmetry. Such systems, at half filling and large on-site repulsion, have been proposed as a possible realization of the Kitaev model. The spin-orbit couplings break the spin degeneracy and, if strong-enough, lead to four non-overlapping bands in the non-interacting limit. These bands carry non-zero Chern number and therefore the non-interacting system has non-zero angular momentum and chiral edge states at 1/4 and 3/4 filling. We have investigated the effect of interactions using the variational cluster perturbation theory and conclude that the chiral edge states exist in finite range of interaction and hopping parameter space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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