Z$_2$ index theorem for Majorana zero modes in a class D topological superconductor

Details Z$_2$ index theorem for Majorana zero modes in a class D topological superconductor Z$_2$ index theorem for Majorana zero modes in a class D topological superconductor

2010-09-14

arxiv.org/abs/1009.2582v2

Phys.Rev.B82:184536,2010

Physics

Condensed Matter

Superconductivity

5 pages, 3 figures. v2: typos corrected

Scientific paper

10.1103/PhysRevB.82.184536

We propose a Z$_2$ index theorem for a generic topological superconductor in class D. Introducing a particle-hole symmetry breaking term depending on a parameter and regarding it as a coordinate of an extra dimension, we define the index of the zero modes and corresponding topological invariant for such an extended Hamiltonian. It is shown that these are related with the number of the zero modes of the original Hamiltonian modulo two.

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