Institut de Physique Théorique
Direction de la Recherche Fondamentale  -  Saclay
UMR 3681 - INP
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Mardi 24 avril 2018

Publication : t17/170


On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors

Bena C. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
The bulk-boundary correspondence establishes a connection between the bulk topological index of an insulator or superconductor, and the number of topologically protected edge bands or states. For topological superconductors in two dimensions the first Chern number is related to the number of protected bands within the bulk energy gap, and is therefore assumed to give the number of Majorana band states in the system. Here we show that this is not necessarily the case. As an example we consider a hexagonal-lattice topological superconductor based on a model of graphene with Rashba spin orbit coupling, proximity induced s-wave superconductivity, and a Zeeman magnetic field. We explore the full Chern number phase diagram of this model, extending what is already known about its parity. We then demonstrate that despite the high Chern numbers that can be seen in some phases these do not strictly always contain Majorana bound states.
Année de publication : 2017
Preprint : arXiv:1710.02001
Langue : Anglais

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