论文标题

Nielsen-Ninomiya定理具有散装拓扑:二元性二元性和非热系统中的双重性

Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems

论文作者

Bessho, Takumi, Sato, Masatoshi

论文摘要

Nielsen-Ninomiya定理是关于在高能量和凝结物理学中静态晶格系统中手性费米子实现的基本定理。在这里,我们将定理扩展到动态系统中,其中包括原始的Nielsen-Ninomiya定理在静态极限中。与原始定理相反,该定理是散装手性费米的无关定理,新定理允许它们由于动态系统的构成拓扑而允许它们。该定理是基于二元性,可以对定期驱动的系统和非热式系统进行统一的处理。我们还提出了由对称性保护的非手续无间隙费米子的扩展定理。最后,作为我们定理和二元性的应用,我们预测了一种新型的手性磁效应 - 非富勒手性磁性皮肤效应。

The Nielsen-Ninomiya theorem is a fundamental theorem on the realization of chiral fermions in static lattice systems in high-energy and condensed matter physics. Here we extend the theorem in dynamical systems, which include the original Nielsen-Ninomiya theorem in the static limit. In contrast to the original theorem, which is a no-go theorem for bulk chiral fermions, the new theorem permits them due to bulk topology intrinsic to dynamical systems. The theorem is based on duality enabling a unified treatment of periodically driven systems and non-Hermitian ones. We also present the extended theorem for non-chiral gapless fermions protected by symmetry. Finally, as an application of our theorem and duality, we predict a new type of chiral magnetic effect -- the non-Hermitian chiral magnetic skin effect.

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