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Phases in two dimensional p_x + ip_y superconducting systems with next-nearest-neighbor interactions

机译:具有近邻相互作用的二维p_x + ip_y超导系统中的相

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摘要

A chiral p_x + ip_y superconductor on a square lattice with nearest and next-nearest hopping and pairing terms is considered. Gap closures, as various parameters of the system are varied, are found analytically and used to identify the topological phases. The phases are characterized by Chern numbers (ranging from -3 to 3), and (numerically) by response to introduction of weak disorder, edges, and magnetic fields in an extreme type-Ⅱ limit, focusing on the low-energy modes (which presumably become zero-energy Majorana modes for large lattices and separations). Several phases are found, including a phase with Chern number 3 that cannot be thought of in terms of a single range of interaction, and a phase with Chern number 2 that may host an additional, disorder-resistant Majorana mode. The energies of the vortex quasiparticle modes were found to oscillate as vortex position varied. The spatial length scale of these oscillations was found for various points in the Chern number 3 phase which increased as criticality was approached.
机译:考虑具有最近和下一个最近跳跃和配对项的方格上的手性p_x + ip_y超导体。通过系统发现各种参数的变化,可以发现间隙闭合现象,并将其用于识别拓扑阶段。这些相的特征在于Chern数(介于-3到3之间),并且(以数值方式)通过响应引入弱的无序,边缘和磁场来达到II型极限,重点是低能模式(大概成为零能量的Majorana模式,适用于大型晶格和分离)。找到了几个阶段,其中包括以单个相互作用范围无法想到的具有Chern 3号的阶段,以及拥有可能具有其他抗病抗性的Majorana模式的Chern 2阶段。发现旋涡准粒子模式的能量随着旋涡位置的变化而振荡。发现在Chern 3期各个点的这些振荡的空间长度尺度,随着接近临界点而增加。

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