We uncover a remarkable quantum scattering phenomenon in two-dimensional Dirac material systems where the manifestations of both classically integrable and chaotic dynamics emerge simultaneously and are electrically controllable. The distinct relativistic quantum fingerprints associated with different electron spin states are due to a physical mechanism analogous to a chiroptical effect in the presence of degeneracy breaking. The phenomenon mimics a chimera state in classical complex dynamical systems but here in a relativistic quantum setting—henceforth the term “Dirac quantum chimera,” associated with which are physical phenomena with potentially significant applications such as enhancement of spin polarization, unusual coexisting quasibound states for distinct spin configurations, and spin selective caustics. Experimental observations of these phenomena are possible through, e.g., optical realizations of ballistic Dirac fermion systems.

中文翻译：

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狄拉克电子光学中的混沌：相对论量子嵌合体的出现

我们在二维Dirac材料系统中发现了一个显着的量子散射现象，其中经典可积分和混沌动力学的表现同时出现并且可以电控。与不同电子自旋态相关的不同的相对论量子指纹是由于在简并性断裂存在下类似于手足按摩效应的物理机制所致。该现象模仿经典复杂动力系统中的嵌合体状态，但在相对论量子环境中，因此称为“狄拉克量子嵌合体”，与之相关的是物理现象，具有潜在的重要应用，例如增强自旋极化，不寻常的共存准结合态。独特的自旋结构和自旋选择性苛性碱。