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arXiv 1409.7359cond-mat.str-elcond-mat.quant-gas
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护城河带晶格中非均匀手征自旋液体的自发形成

Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices

Tigran A. Sedrakyan, Leonid I. Glazman, Alex Kamenev

摘要:

许多晶格表现出壕沟状能带结构,即具有沿着布里渊区中的闭合线获得的无限简并能量最小值的带。如果这样的晶格充满了硬核玻色子,简并性会阻止它们的凝聚。在半填充时,系统等效于零磁场下的$s=1/2$ XY模型,而不存在凝聚转化为XY平面中不存在磁序。在这里,我们表明,基态打破了时间反演以及反转对称性。这种状态,这可能是确定的手征自旋液体,有一个整体的差距和手征无隙边缘激发。发展的分析理论的应用包括最近的数值结果的解释和手征自旋液体实现在实验中与冷原子在光晶格的建议。

英文摘要:

A number of lattices exhibit moat-like band structures, i.e. a band with infinitely degenerate energy minima attained along a closed line in the Brillouin zone. If such a lattice is populated with hard-core bosons, the degeneracy prevents their condensation. At half-filling, the system is equivalent to $s=1/2$ XY model at zero magnetic field, while absence of condensation translates into the absence of magnetic order in the XY plane. Here we show that the ground state breaks the time-reversal as well as inversion symmetries. This state, which may be identified with the chiral spin liquid, has a bulk gap and chiral gapless edge excitations. The applications of the developed analytical theory include an explanation of recent numerical findings and a suggestion for the chiral spin liquid realizations in experiments with cold atoms in optical lattices.

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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