论文标题
Bloch定理和Hermitian皮肤效果的非扰动分解
Non-perturbative Breakdown of Bloch's Theorem and Hermitian Skin Effects
论文作者
论文摘要
在具有开放边界条件的常规冬宫系统中，Bloch的定理被扰动，这意味着尽管晶体动量不是一个好的量子数，但本征态是几个延长的Bloch波的叠加。在本文中，我们表明Bloch的定理可能在某些遗传性骨系统中被非扰动。系统的准粒子是局部非Bloch波的叠加，其特征是复杂动量的想象部分决定了定位特性。尽管它们具有相同的机制，但我们的工作是对非铁皮皮肤效应的隐性概括。
In conventional Hermitian systems with the open boundary condition, Bloch's theorem is perturbatively broken down, which means although the crystal momentum is not a good quantum number, the eigenstates are the superposition of several extended Bloch waves. In this paper, we show that Bloch's theorem can be non-perturbatively broken down in some Hermitian Bosonic systems. The quasiparticles of the system are the superposition of localized non-Bloch waves, which are characterized by the complex momentum whose imaginary part determines the localization properties. Our work is a Hermitian generalization of the non-Hermitian skin effect, although they share the same mechanism.
