Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.
Phys Rev Lett. 2012 Oct 5;109(14):146403. doi: 10.1103/PhysRevLett.109.146403.
We study the interplay between disorder and interaction in one-dimensional topological superconductors which carry localized Majorana zero-energy states. Using Abelian bosonization and the perturbative renormalization group approach, we obtain the renormalization group flow and the associated scaling dimensions of the parameters and identify the critical points of the low-energy theory. We predict a quantum phase transition from a topological superconducting phase to a nontopological localized phase, and obtain the phase boundary between these two phases as a function of the electron-electron interaction and the disorder strength in the nanowire. Based on an instanton analysis which incorporates the effect of disorder, we also identify a large regime of stability of the Majorana-carrying topological phase in the parameter space of the model.
我们研究了在携带局域化马约拉纳零能态的一维拓扑超导体中，无序和相互作用之间的相互作用。利用阿贝尔玻色化和微扰重整化群方法，我们得到了参数的重整化群流和相关的标度维度，并确定了低能理论的临界点。我们预测了从拓扑超导相到非拓扑局域相的量子相变，并得到了这两个相之间的相界作为电子-电子相互作用和纳米线中无序强度的函数。基于包含无序效应的瞬子分析，我们还确定了模型参数空间中携带马约拉纳的拓扑相的一个大稳定区域。
