Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns
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 $$D_{3d}$$ 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.
- Authors:
-
[1]
- Huazhong Univ. of Science and Technology, Wuhan (China)
- Huazhong Univ. of Science and Technology, Wuhan (China); Pennsylvania State Univ., University Park, PA (United States)
- Pennsylvania State Univ., University Park, PA (United States)
- Publication Date:
- Research Org.:
- Pennsylvania State Univ., University Park, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Ministry of Science and Technology of the People’s Republic of China (MOST); National Natural Science Foundation of China (NSFC); US Department of the Navy, Office of Naval Research (ONR); Pittsburgh Foundation
- OSTI Identifier:
- 1803542
- Grant/Contract Number:
- SC0019064; 2016YFA0401003; 11674114; 2018YFA0307000; 11874022; N00014-18-1-2793; KA2018-98553
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 123; Journal Issue: 15; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics
Citation Formats
Pan, Xiao-Hong, Yang, Kai-Jie, Chen, Li, Xu, Gang, Liu, Chao-Xing, and Liu, Xin. Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns. United States: N. p., 2019.
Web. doi:10.1103/physrevlett.123.156801.
Pan, Xiao-Hong, Yang, Kai-Jie, Chen, Li, Xu, Gang, Liu, Chao-Xing, & Liu, Xin. Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns. United States. https://doi.org/10.1103/physrevlett.123.156801
Pan, Xiao-Hong, Yang, Kai-Jie, Chen, Li, Xu, Gang, Liu, Chao-Xing, and Liu, Xin. Thu .
"Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns". United States. https://doi.org/10.1103/physrevlett.123.156801. https://www.osti.gov/servlets/purl/1803542.
@article{osti_1803542,
title = {Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns},
author = {Pan, Xiao-Hong and Yang, Kai-Jie and Chen, Li and Xu, Gang and Liu, Chao-Xing and Liu, Xin},
abstractNote = {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 $D_{3d}$ 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.},
doi = {10.1103/physrevlett.123.156801},
journal = {Physical Review Letters},
number = 15,
volume = 123,
place = {United States},
year = {Thu Oct 10 00:00:00 EDT 2019},
month = {Thu Oct 10 00:00:00 EDT 2019}
}
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