English

Counting Majorana zero modes in superconductors

Superconductivity 2015-03-17 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1011.1007,
  title  = {Counting Majorana zero modes in superconductors},
  author = {Luiz Santos and Yusuke Nishida and Claudio Chamon and Christopher Mudry},
  journal= {arXiv preprint arXiv:1011.1007},
  year   = {2015}
}

Comments

21 pages, 3 figures

R2 v1 2026-06-21T16:38:40.856Z