Majorana modes and complex band structure of quantum wires

Abstract

We describe Majorana edge states of a semi-infinite wire using the complex band structure approach. In this method the edge state at a given energy is built as a superposition of evanescent waves. It is shown that the superposition can not always satisfy the required boundary condition, thus restricting the existence of edge modes. We discuss purely 1D and 2D systems, focussing in the latter case on the effect of the Rashba mixing term.

8 pages, 6 figures

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Cited by in corpus (16)

• Effects of tilting the magnetic field in 1D Majorana nanowires
• Coulomb interaction effects on the Majorana states in quantum wires
• Majorana states in prismatic core-shell nanowires
• Emergence of Majorana modes in cylindrical nanowires
• Majorana states and magnetic orbital motion in planar hybrid nanowires
• Scattering of topological kink-antikink states in bilayer graphene structures
• Current distributions in stripe Majorana junctions
• Conductance oscillations and speed of chiral Majorana mode in a quantum-anomalous-Hall 2d strip
• Majorana modes in smooth normal-superconductor nanowire junctions
• Fabry-Pérot interferometry with gate-tunable 3D topological insulator nanowires
• Topological suppression of magnetoconductance oscillations in NS junctions
• Majorana mode stacking, robustness and size effect in cylindrical nanowires
• Complex-band-structure eigenvalue method adapted to Floquet systems: topological superconducting wires as a case study
• Quasi-particle current in planar Majorana nanowires
• Spatial coupling of quantum-anomalous-Hall and chiral-Majorana modes
• Magnetic orbital motion and 0.5$e^2/h$ conductance of quantum-anomalous-Hall hybrid strips