Topological indices, defects and Majorana fermion in chiral superconductors

Abstract

We study theoretically the role of topological invariants to protect the Majorana fermions in a model of two-dimensional chiral superconductors which belong to class D of topological periodic table. A rich phase diagram is revealed. Each phase is characterized by the topological invariants for 2d (Z) and 1d (Z2), which lead to the Majorana fermion at the edge of the dislocation and the core of the vortex. Interference of the Majorana fermions originated from the different topological invariants is studied. The stability of the Majorana fermion with respect to the interlayer coupling, i.e., in 3d, is also examined.

5 pages, 4 figures

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Cited by in corpus (8)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
• Dislocation defect as a bulk probe of monopole charge of multi-Weyl semimetals
• Bimodal conductance distribution of Kitaev edge modes in topological superconductors
• Topology and localization of a periodically driven Kitaev model
• Chiral zero modes in superconducting nanowires with Dresselhaus spin-orbit coupling
• From Topological Superconductivity to Quantum Hall States in Coupled Wires
• Persistent current in 2D topological superconductors