DeGottardi Wade, Sen Diptiman, Vishveshwara Smitha
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
Centre for High Energy Physics, Indian Institute of Science, Bangalore 560012, India.
Phys Rev Lett. 2013 Apr 5;110(14):146404. doi: 10.1103/PhysRevLett.110.146404.
We present a unified study of the effect of periodic, quasiperiodic, and disordered potentials on topological phases that are characterized by Majorana end modes in one-dimensional p-wave superconducting systems. We define a topological invariant derived from the equations of motion for Majorana modes and, as our first application, employ it to characterize the phase diagram for simple periodic structures. Our general result is a relation between the topological invariant and the normal state localization length. This link allows us to leverage the considerable literature on localization physics and obtain the topological phase diagrams and their salient features for quasiperiodic and disordered systems for the entire region of parameter space.
我们对周期性、准周期性和无序势对一维p波超导系统中以马约拉纳端模为特征的拓扑相的影响进行了统一研究。我们定义了一个从马约拉纳模的运动方程导出的拓扑不变量，并作为我们的第一个应用，用它来表征简单周期结构的相图。我们的一般结果是拓扑不变量与正常态局域长度之间的关系。这种联系使我们能够利用关于局域物理的大量文献，并获得整个参数空间区域内准周期和无序系统的拓扑相图及其显著特征。
