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On Symmetry Properties of The Corrugated Graphene System

Institute of Experimental Physics, Watsonova 47, 04001 Košice, Slovakia
BLTP, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia
BLTP, Dubna University, 141982 Dubna, Moscow Region, Russia
Author to whom correspondence should be addressed.
Symmetry 2020, 12(4), 533;
Received: 20 February 2020 / Revised: 19 March 2020 / Accepted: 24 March 2020 / Published: 3 April 2020
(This article belongs to the Special Issue Symmetry and Mesoscopic Physics)
The properties of the ballistic electron transport through a corrugated graphene system are analysed from the symmetry point of view. The corrugated system is modelled by a curved surface (an arc of a circle) connected from both sides to flat sheets. The spin–orbit couplings, induced by the curvature, give rise to equivalence between the transmission (reflection) probabilities of the transmitted (reflected) electrons with the opposite spin polarisation, incoming from opposite system sides. We find two integrals of motion that explain the chiral electron transport in the considered system. View Full-Text
Keywords: graphene; ripple; transport; symmetry graphene; ripple; transport; symmetry
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Pudlak, M.; Smotlacha, J.; Nazmitdinov, R. On Symmetry Properties of The Corrugated Graphene System. Symmetry 2020, 12, 533.

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