2020/06/30 by Takumi Bessho, Masatoshi Sato · 1 citation
Physics and Astronomy · Mathematics · #cond-mat.mes-hall #hep-lat #math-ph #math.MP #physics.optics #quant-ph
paper · pdf · doi:10.1103/physrevlett.127.196404
published as Phys. Rev. Lett. 127, 196404 (2021) · 6+19 pages, 2+8 figures, 0+1 tables
arxiv created 2021/11/12 · arxiv updated 2021/11/15
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.