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arXiv · 1006.5031

Antilinear spectral symmetry and the vortex zero-modes in topological insulators and graphene

Igor F. Herbut·Chi-Ken Lu
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Abstract

We construct the general extension of the four-dimensional Jackiw-Rossi-Dirac Hamiltonian that preserves the antilinear reflection symmetry between the positive and negative energy eigenstates. Among other systems, the resulting Hamiltonian describes the s-wave superconducting vortex at the surface of the topological insulator, at a finite chemical potential, and in the presence of both Zeeman and orbital couplings to the external magnetic field. Here we find that the bound zero-mode exists only when the Zeeman term is below a critical value. Other physical realizations pertaining to graphene are considered, and some novel zero-energy wave functions are analytically computed.

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Igor F. Herbut, Chi-Ken Lu. 2010-09-07. Antilinear spectral symmetry and the vortex zero-modes in topological insulators and graphene. https://doi.org/10.1103/physrevb.82.125402

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