Chiral and counter-propagating Majorana fermions in a p-wave superconductor

被引：6

作者：

Hu, Haiping ^{[1
,2
]}

Satija, Indubala I. ^{[1
]}

Zhao, Erhai ^{[1
,3
]}

机构：

[1] George Mason Univ, Dept Phys & Astron, Fairfax, VA 22030 USA

[2] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA

[3] George Mason Univ, Quantum Mat Ctr, Fairfax, VA 22030 USA

来源：

NEW JOURNAL OF PHYSICS | 2019年 / 21卷 / 12期

关键词：

topological superconductor; Majorana edge mode; braiding; QUANTIZED HALL CONDUCTANCE; NON-ABELIAN STATISTICS; QUANTUM; STATES;

D O I：

10.1088/1367-2630/ab5cad

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Chiral and helical Majorana fermions are two archetypal edge excitations in two-dimensional topological superconductors. They emerge from systems of different Altland-Zirnbauer symmetries and characterized by Z and Z(2) topological invariants respectively. It seems improbable to tune a pair of co-propagating chiral edge modes to counter-propagate in a single system without symmetry breaking. Here, we explore the peculiar behaviors of Majorana edge modes in topological superconductors with an additional 'mirror' symmetry which changes the bulk topological invariant to Z circle plus Z type. A theoretical toy model describing the proximity structure of a Chern insulator and a p(x)-wave superconductor is proposed and solved analytically to illustrate a direct transition between two topologically nontrivial phases. The weak pairing phase has two chiral Majorana edge modes, while the strong pairing phase is characterized by mirror-graded Chern number and hosts a pair of counter-propagating Majorana fermions protected by the mirror symmetry. The edge theory is worked out in detail, and implications to braiding of Majorana fermions are discussed.

引用

页数：7

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