Helical states in curved bilayer graphene

Jelena Klinovaja, Gerson J. Ferreira, and Daniel Loss
Phys. Rev. B 86, 235416 – Published 12 December 2012

Abstract

We study spin effects of quantum wires formed in bilayer graphene by electrostatic confinement. With a proper choice of the confinement direction, we show that in the presence of magnetic field, spin orbit interaction induced by curvature, and intervalley scattering, bound states emerge that are helical. The localization length of these helical states can be modulated by the gate voltage which enables the control of the tunnel coupling between two parallel wires. Allowing for proximity effect via an s-wave superconductor, we show that the helical modes give rise to Majorana fermions in bilayer graphene.

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  • Received 13 August 2012

DOI:https://doi.org/10.1103/PhysRevB.86.235416

©2012 American Physical Society

Authors & Affiliations

Jelena Klinovaja, Gerson J. Ferreira, and Daniel Loss

  • Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland

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Issue

Vol. 86, Iss. 23 — 15 December 2012

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