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paper

Counting Majorana zero modes in superconductors

arXiv:1011.1007 · doi:10.1103/PhysRevB.83.104522

Abstract

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.

21 pages, 3 figures