非互易晶格上的回旋量子化和镜像时间跃迁
Cyclotron quantization and mirror-time transition on nonreciprocal lattices
摘要：
单向输运和定域回旋运动是两种相反的物理现象。在这里，我们研究了它们之间的相互作用对非互易晶格受到磁场。我们证明了在长波极限下，波包的轨迹总是形成四维复空间中的闭合轨道。因此，尽管存在非互易性，半经典量子化规则仍然存在，这保留了真实的朗道能级。我们预测了一种不同类型的非厄米光谱跃迁引起的自发破缺的组合镜像时间反演（$\mathcal{MT}$）的对称性，这通常存在于这样的系统。提出了一种描述$\mathcal{MT}$相变的序参量，不仅可以确定$\mathcal{MT}$的相界，而且可以量化$\mathcal{MT}$对称性破缺的程度.这样的序参量一般可以应用于所有类型的非厄米相变。
英文摘要：
Unidirectional transport and localized cyclotron motion are two opposite physical phenomena. Here, we study the interplay effects between them on nonreciprocal lattices subject to a magnetic field. We show that, in the long-wavelength limit, the trajectories of the wave packets always form closed orbits in four-dimensional (4D) complex space. Therefore, the semiclassical quantization rules persist despite the nonreciprocity, which preserves real Landau levels. We predict a different type of non-Hermitian spectral transition induced by the spontaneous breaking of the combined mirror-time reversal ($\mathcal{MT}$) symmetry, which generally exists in such systems. An order parameter is proposed to describe the $\mathcal{MT}$ phase transition, not only to determine the $\mathcal{MT}$ phase boundary but also to quantify the degree of $\mathcal{MT}$-symmetry breaking. Such an order parameter can be generally applied to all types of non-Hermitian phase transitions.
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。
