无序手性链的体边对应
The Bulk-Edge Correspondence for Disordered Chiral Chains
摘要：
我们在单粒子图像中研究了一维绝缘体的手征对称性。费米能级被假定为位于迁移率间隙中。拓扑指数的定义为无限（散装）或半无限（边）系统，它示出，对于一个给定的哈密顿与最近邻跳跃的两个指数是相等的。我们还给出了一个新的配方的零能薛定谔方程，这说明了发生在迁移率间隙制度的拓扑相变的条件的李雅普诺夫指数。
英文摘要：
We study one-dimensional insulators obeying a chiral symmetry in the single-particle picture. The Fermi level is assumed to lie in a mobility gap. Topological indices are defined for infinite (bulk) or half-infinite (edge) systems, and it is shown that for a given Hamiltonian with nearest neighbor hopping the two indices are equal. We also give a new formulation of the index in terms of the Lyapunov exponents of the zero energy Schrödinger equation, which illustrates the conditions for a topological phase transition occurring in the mobility gap regime.
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