论文标题
赫米尔米亚相关/无序系统中的非热皮肤效应：边界敏感/不敏感的数量和伪量子数
Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
论文作者
论文摘要
人们普遍认为，凝结的物质社区认为，大量数量对无限体积限制的边界条件不敏感。在这里，我们根据最新的非甲米皮效应的论点重新考虑了这一说法，在传统的绿色功能形式主义中，光谱对非荷米特汉密尔顿人的边界条件的依赖。我们发现，对遗传学相关/无序系统中边界条件的量的标准是敏感/不敏感的，该系统的特征是残基定理。我们还讨论了皮肤效应下的准粒子能量的不确定性，从非正态分子伪谱进行，可以通过大量表面耦合的急剧光学吸收来测试。我们的结果表明，“伪量子数”是由于较大的非正态性而出现的。
There is a common belief in the condensed matter community that bulk quantities become insensitive to the boundary condition in the infinite-volume limit. Here we reconsider this statement in terms of recent arguments of non-Hermitian skin effects, -strong dependence of spectra on boundary conditions for the non-Hermitian Hamiltonians-, in the traditional Green's function formalism. We find the criterion for quantities to be sensitive/insensitive against the boundary condition in Hermitian correlated/disordered systems, which is characterized by the residue theorem. We also discuss the uncertainty of the quasiparticle energy under the skin effects in terms of nonnormal pseudospectra, which can be tested via the sharp optical absorption from the bulk-surface coupling. Our result indicates that "pseudo quantum number" emerges as a consequence of large nonnormality.
