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Effective model for Majorana modes in graphene

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Author(s):
Manesco, A. L. R. ; Weber, G. ; Rodrigues Jr, D.
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW B; v. 100, n. 12, p. 8-pg., 2019-09-09.
Abstract

It was recently proposed that the interface between a graphene nanoribbon in the canted antiferromagnetic quantum Hall state and a s-wave superconductor may present topological superconductivity, resulting in the appearance of Majorana zero modes [San-Jose et al., Phys. Rev. X 5, 041042 (2015)]. However, a description of the low-energy physics in terms of experimentally controllable parameters was still missing. Starting from a mean-field continuum model for graphene in proximity to a superconductor, we derive the low-energy effective Hamiltonian describing the interface of this heterojunction from first principles. A comparison between tight-binding simulations and analytical calculations with effective masses suggests that normal reflections at the interface must be considered in order to fully describe the low-energy physics. (AU)

FAPESP's process: 16/10167-8 - Investigation of electronic and topological properties of superconductor-graphene heterojunctions for applications in quantum computation devices
Grantee:Antonio Lucas Rigotti Manesco
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)