Majorana state on the surface of a disordered 3D topological insulator

Abstract

We study low-lying electron levels in an "antidot" capturing a coreless vortex on the surface of a three-dimensional topological insulator in the presence of disorder. The surface is covered with a superconductor film with a hole of size R larger than coherence length, which induces superconductivity via proximity effect. Spectrum of electron states inside the hole is sensitive to disorder, however, topological properties of the system give rise to a robust Majorana bound state at zero energy. We calculate the subgap density of states with both energy and spatial resolution using the supersymmetric sigma model method. Tunneling into the hole region is sensitive to the Majorana level and exhibits resonant Andreev reflection at zero energy.

12 pages, 3 figures

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• The supersymmetric technique for random-matrix ensembles with zero eigenvalues
• Majorana fermions in pinned vortices
• Electronic Structure of Vortices Pinned by Columnar Defects
• Crossovers between superconducting symmetry classes

Cited by in corpus (28)

• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Tunneling spectrum of a pinned vortex with a robust Majorana state
• X-shaped and Y-shaped Andreev resonance profiles in a superconducting quantum dot
• Tunneling conductance due to discrete spectrum of Andreev states
• Topological insulators based on HgTe
• Quasiclassical theory for the superconducting proximity effect in Dirac materials
• Majorana fermions at the edge of superconducting islands
• Manifestation of chirality in the vortex lattice in a two-dimensional topological superconductor
• Luttinger liquid in contact with a Kramers pair of Majorana bound states
• Josephson current between topological and conventional superconductors
• Absence of Aharonov-Bohm effect of chiral Majorana fermion edge states
• Topological transitions in electronic spectra: Crossover between Abrikosov and Josephson vortices
• Multiple Vortex Cores in 2D Electronic Systems with Proximity Induced Superconductivity
• Statistical Majorana Bound State Spectroscopy
• Disorder-induced subgap states and Majorana zero-energy edge modes in two-dimensional topological insulator-superconductor hybrid structures
• Scanning tunneling microscopy of superconducting topological surface states in Bi${}_2$Se${}_3$
• Vortex matter in low dimensional systems with proximity induced superconductivity
• Hybridization mechanism of the dual proximity effect in superconductor-topological insulator interfaces
• Bound fermion states in pinned vortices in the surface states of a superconducting topological insulator: The Majorana bound state
• Low-energy in-gap states of vortices in superconductor-semiconductor heterostructures
• Geometry-independent tight-binding method for massless Dirac fermions in two dimensions
• Electronic structure of a Josephson vortex in a SIS junction
• Influence of disorder on antidot vortex Majorana states in 3D topological insulators
• Mesoscopic fluctuations in superconductor-topological insulator Josephson junctions
• Majorana bound states in d-wave superconductor-based hybrid systems
• Unveiling In-Gap States and Majorana Zero Modes in Superconductor-Topological Insulator Bilayer model