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

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

2009-11-13

arxiv.org/abs/0911.2558v3

J. Phys. Soc. Jpn. 79 (2010) 033701

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1143/JPSJ.79.033701

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$_2$.

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