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

Sedlmayr, Nicholas and Kaladzhyan, Vardan and Dutreix, Clément and Bena, Cristina. (2017) Bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors. Physical Review B, 96 (18). p. 184516.

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Official URL: https://edoc.unibas.ch/85176/

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Abstract

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.
Faculties and Departments:05 Faculty of Science > Departement Physik
UniBasel Contributors:Kaladzhyan, Vardan
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
ISSN:2469-9950
e-ISSN:2469-9969
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:19 Nov 2021 12:48
Deposited On:19 Nov 2021 12:48

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