XU GANG

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Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns
Release time:2023-09-05  Hits:

Indexed by: Journal paper

First Author: Xiao-Hong Pan

Correspondence Author: Xin Liu

Co-author: Chao-Xing Liu,Li Chen,Kai-Jie Yang,Gang Xu

Journal: Physical Review Letters

Included Journals: SCI

Discipline: Science

First-Level Discipline: Physics

Document Type: J

Volume: 123

Issue: 15

Page Number: 156801

ISSN No.: 0031-9007

Date of Publication: 2019-10-10

Impact Factor: 8.385

Abstract: We propose a realization of the lattice-symmetry-assisted second-order topological superconductors with corner Majorana zero modes (MZM) based on two-dimensional topological insulators (2DTI). The lattice symmetry can naturally lead to the anisotropic coupling of edge states along different directions to the in-plane magnetic field and conventional s-wave pairings, thus leading to a single MZM located at the corners for various lattice patterns. In particular, we focus on the 2DTI with D3d lattice symmetry and found different types of gap opening for the edge states along the armchair and zigzag edges in a broad range of parameters. As a consequence, a single MZM exists at the corner between the zigzag and armchair edges, and is robust against weakly broken lattice symmetry. We propose to realize such corner MZMs in a variety of polygon patterns, such as triangles and quadrilaterals. We further show their potentials in building the Majorana network through constructing the Majorana Y junction under an in-plane magnetic field.

Links to published journals: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.156801