Counting Majorana zero modes in superconductors

Details Counting Majorana zero modes in superconductors Counting Majorana zero modes in superconductors

2010-11-03

arxiv.org/abs/1011.1007v2

Phys.Rev.B83:104522,2011

Physics

Condensed Matter

Superconductivity

21 pages, 3 figures

Scientific paper

10.1103/PhysRevB.83.104522

A counting formula for computing the number of (Majorana) zero modes bound to topological point defects is evaluated in a gradient expansion for systems with charge-conjugation symmetry. This semi-classical counting of zero modes is applied to some examples that include graphene and a chiral p-wave superconductor in two-dimensional space. In all cases, we explicitly relate the counting of zero modes to Chern numbers.

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