Strong interactions in a weak topological superconductor

Datum

26.04.2016

Zeit

09:00 - 10:00

Sprecher

Dr. Ion Cosma Fulga

Zugehörigkeit

Weizmann Institute of Science, Rehovot/Israel

Sprache

en

Hauptthema

Materialien

Andere Themen

Materialien, Physik

Host

Grit Rötzer

Beschreibung

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological superconductor realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes present at the ends of the wires overlap, forming a dispersive edge mode with thermal conductance determined by the central charge c of the low-energy effective field theory of the edge. We show numerically that, in the presence of disorder, the c = 1/2 Majorana edge mode remains delocalized up to extremely strong attractive interactions, while repulsive interactions drive a transition to a c = 3/2 edge phase localized by disorder. The absence of localization for strong attractive interactions is explained by a self-duality symmetry of the statistical ensemble of disorder configurations and of the edge interactions, originating from translation invariance on the length scale of the underlying mesoscopic array. .

Links

• Seminars at the IFW

Letztmalig verändert: 26.04.2016, 09:40:26