论文标题

一阶拓扑相变和障碍诱导的主要模式在相互作用的费米链中

First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains

论文作者

Agarwal, Shruti, Gawande, Shreekant, Nishimoto, Satoshi, Brink, Jeroen van den, Kumar, Sanjeev

论文摘要

使用平均田Bogoliubov degennes(BDG)方法和密度矩阵重新归一化组(DMRG)方法的组合,我们发现了拓扑超导和琐碎的绝缘相之间的一阶拓扑转变,在锯齿中的锯齿齿状晶格中的锯齿中有吸引力的效果。在绕组数字,Majorana边缘模式和纠缠光谱方面,实现了不同阶段的拓扑表征。通过研究障碍对一阶拓扑相变的影响,我们建立了疾病诱导的拓扑相共存,作为产生有限密度的主要颗粒颗粒的机制。

Using a combination of the mean-field Bogoliubov deGennes (BdG) approach and the Density Matrix Renormalization Group (DMRG) method, we discover first order topological transitions between topological superconducting and trivial insulating phases in a sawtooth lattice of inter-site attractive fermions. Topological characterization of different phases is achieved in terms of winding numbers, Majorana edge modes and entanglement spectra. By studying the effect of disorder on the first order topological phase transitions, we establish the disorder-induced topological phase coexistence as a mechanism for generating a finite density of Majorana particles.

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