Majorana fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials

Wade Degottardi, Diptiman Sen, Smitha Vishveshwara

Research output: Contribution to journalArticle

Abstract

We present a unified study of the effect of periodic, quasiperiodic, and disordered potentials on topological phases that are characterized by Majorana end modes in one-dimensional p-wave superconducting systems. We define a topological invariant derived from the equations of motion for Majorana modes and, as our first application, employ it to characterize the phase diagram for simple periodic structures. Our general result is a relation between the topological invariant and the normal state localization length. This link allows us to leverage the considerable literature on localization physics and obtain the topological phase diagrams and their salient features for quasiperiodic and disordered systems for the entire region of parameter space.

Original languageEnglish (US)
Article number146404
JournalPhysical review letters
Volume110
Issue number14
DOIs
StatePublished - Apr 5 2013

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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