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

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

2010-06-25

arxiv.org/abs/1006.5031v2

Physical Review B, vol. 82, 125402 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 revtex pages; typos corrected, published version

Scientific paper

10.1103/PhysRevB.82.125402

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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