Counting Majorana zero modes in superconductors

ORAL

Abstract

We present a counting formula for computing the number of (Majorana) zero modes bound to topological point defects. The counting formula is evaluated in a gradient expansion for systems with charge-conjugation symmetry. We will consider examples that include Dirac fermions and the chiral p-wave superconductor in two-dimensional space. In all cases, we explicitly relate the counting of zero modes to Chern numbers.

Authors

  • Luiz Santos

    • Harvard University
  • Yusuke Nishida

    • MIT
  • Claudio Chamon

    • Boston University
  • Christopher Mudry

    • PSI, Switzerland