index theorem for Majorana zero modes in a classtopological superconductor
Authors:
- Takahiro FukuiTFTakahiro Fukui
- Takanori FujiwaraTFTakanori Fujiwara
- 30 November 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 82 (18)
Abstract
We propose a Z2 index theorem for a generic topological superconductor in class D with a point defect. 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 2.Keywords
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