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19 April 2024 |
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Statistical translation invariance protects a topological insulator from interactions | | A. Milsted
; L. Seabra
; I. C. Fulga
; C. W. J. Beenakker
; E. Cobanera
; | | Date: |
27 Apr 2015 | | Abstract: | We investigate the effect of interactions on the stability of a disordered,
two-dimensional topological insulator 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. | | Source: | arXiv, 1504.7258 | | Services: | Forum | Review | PDF | Favorites | |
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