Topological stability of Majorana zero-modes in superconductor-topological insulator systems

Abstract

We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more generic models without chiral symmetry, we suggest that Majorana zero-modes are classified by Z${}_2$.

8 pages, v2:discussion on class D is revised, refs added, typos corrected. v3: typos corrected, almost final version

References in corpus (7)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors

Cited by in corpus (25)

• Classification of topological quantum matter with symmetries
• Topological superconductors: a review
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Majorana Fermions and Topology in Superconductors
• Topology of Andreev Bound States with Flat Dispersion
• Vortices and Other Topological Solitons in Dense Quark Matter
• Tunneling of anyonic Majorana excitations in topological superconductors
• Bulk-edge correspondence for Chern topological phases: A viewpoint from a generalized index theorem
• Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models
• Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
• Counting Majorana zero modes in superconductors
• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• A Dirac fermion model associated with second order topological insulator
• Majorana zero modes bound to a vortex line in a topological superconductor
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor
• Higher order topological matter and fractional chiral states
• Phonon-mediated intrinsic topological superconductivity in Fermi arcs
• Anomalous Coherence Length of Majorana Zero Modes at Vortices in Superconducting Topological Insulators
• Entanglement and particle fluctuations of one-dimensional chiral topological insulators
• Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
• A Study of Topological Quantum Phase Transition and Majorana Localization Length for the Interacting Helical Liquid System
• Robustness of Majorana zero-energy state
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Mechanism for Nodal Topological Superconductivity on PtBi${}_2$ Surface