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Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice

2021/02/01 by Shujie Cheng, Yufei Zhu, Cheng, Shujie +5
Physics and Astronomy · #Advanced Condensed Matter Physics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum many-body systems #Superconductivity (cond-mat.supr-con) #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.48550/arxiv.2102.00737

11 pages, 7 figures

openalex publication_date 2021/02/01 · arxiv created 2021/07/18 · arxiv updated 2021/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We aim to study a one-dimensional p-wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invariants. We confirm that the Majorana zero mode is protected by the nontrivial topology the topological phase transition is accompanied by the energy gap closing and reopening. In addition, we numerically find that there are mobility edges which originate from the competition between the extended p-wave pairing and the localized quasi-disorder. We qualitatively analyze the influence of superconducting pairing parameters and on-site potential strength on the mobility edge. In general, our work enriches the research on the p-wave superconducting models with quasiperiodic potentials.

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