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

DeGottardi, Wade and Sen, Diptiman and Vishveshwara, Smitha (2013) Majorana fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials. In: Physical Review Letters, 110 (14). 146404_1-146404_5.

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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. DOI: 10.1103/PhysRevLett.110.146404

Item Type:	Journal Article
Publication:	Physical Review Letters
Publisher:	American Physical Society
Additional Information:	Copyright of this article belongs to American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	04 Jun 2013 09:42
Last Modified:	04 Jun 2013 09:42
URI:	http://eprints.iisc.ac.in/id/eprint/46517

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