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Volume 12
Issue 4
10.3390/sym12040533
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Article

On Symmetry Properties of The Corrugated Graphene System

by
Mihal Pudlak
1,
Jan Smotlacha
2 and
Rashid Nazmitdinov
2,3,*
1
Institute of Experimental Physics, Watsonova 47, 04001 Košice, Slovakia
2
BLTP, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia
3
BLTP, Dubna University, 141982 Dubna, Moscow Region, Russia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(4), 533; https://doi.org/10.3390/sym12040533
Submission 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)
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Abstract

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.
Keywords: graphene; ripple; transport; symmetry graphene; ripple; transport; symmetry

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MDPI and ACS Style

Pudlak, M.; Smotlacha, J.; Nazmitdinov, R. On Symmetry Properties of The Corrugated Graphene System. Symmetry 2020, 12, 533. https://doi.org/10.3390/sym12040533

AMA Style

Pudlak M, Smotlacha J, Nazmitdinov R. On Symmetry Properties of The Corrugated Graphene System. Symmetry. 2020; 12(4):533. https://doi.org/10.3390/sym12040533

Chicago/Turabian Style

Pudlak, Mihal, Jan Smotlacha, and Rashid Nazmitdinov. 2020. "On Symmetry Properties of The Corrugated Graphene System" Symmetry 12, no. 4: 533. https://doi.org/10.3390/sym12040533

APA Style

Pudlak, M., Smotlacha, J., & Nazmitdinov, R. (2020). On Symmetry Properties of The Corrugated Graphene System. Symmetry, 12(4), 533. https://doi.org/10.3390/sym12040533

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