$p$ -轨道蜂窝光晶格中的量子反常Hall态
Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices
摘要：
研究了单组分费米子加载的蜂窝光晶格的$p$ -轨道带中的量子反常霍尔态。这种效应在凝聚态和冷原子系统中还没有实现。通过应用由Gemelke \textit{et al.}开发的可用实验技术来围绕其自身中心旋转每个晶格位置，能带结构变得拓扑非平凡。在一定的旋转角速度$Ω$下，出现平坦的能带结构，其局域本征态携带手征电流矩。施加软约束势，密度分布表现出一个婚礼蛋糕形状的分布与绝缘平台在相称的填充。此外，不均匀的约束势诱导的无耗散环流的大小和手征的变化与距离的陷阱中心。在绝缘区的霍尔电导是量子化的，在金属区的方向和幅度的手征电流不能描述通常的本地密度近似。量子反常霍尔效应在比带隙小的温度尺度下是鲁棒的，这增加了实验实现的可行性。
英文摘要：
We study the quantum anomalous Hall states in the $p$-orbital bands of the honeycomb optical lattices loaded with the single component fermions. Such an effect has not been realized in both condensed matter and cold atom systems yet. By applying the available experimental technique developed by Gemelke \textit{et al.} to rotate each lattice site around its own center, the band structures become topologically non-trivial. At a certain rotation angular velocity $Ω$, a flat band structure appears with localized eigenstates carrying chiral current moments. With imposing the soft confining potential, the density profile exhibits a wedding-cake shaped distribution with insulating plateaus at commensurate fillings. Moreover, the inhomogeneous confining potential induces dissipationless circulation currents whose magnitudes and chiralities vary with the distance from the trap center. In the insulating regions the Hall conductances are quantized, and in the metallic regions the directions and magnitudes of chiral currents cannot be described by the usual local-density-approximation. The quantum anomalous Hall effects are robust at temperature scales small compared to band gaps, which increases the feasibility of experimental realizations.
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