{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:48:50Z","timestamp":1760237330425,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2020,4,3]],"date-time":"2020-04-03T00:00:00Z","timestamp":1585872000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100010783","name":"Slovak Academy of Sciences","doi-asserted-by":"publisher","award":["VEGA Grant No. 2\/0009\/19"],"award-info":[{"award-number":["VEGA Grant No. 2\/0009\/19"]}],"id":[{"id":"10.13039\/100010783","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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\u2013orbit 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.<\/jats:p>","DOI":"10.3390\/sym12040533","type":"journal-article","created":{"date-parts":[[2020,4,9]],"date-time":"2020-04-09T03:40:19Z","timestamp":1586403619000},"page":"533","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["On Symmetry Properties of The Corrugated Graphene System"],"prefix":"10.3390","volume":"12","author":[{"given":"Mihal","family":"Pudlak","sequence":"first","affiliation":[{"name":"Institute of Experimental Physics, Watsonova 47, 04001 Ko\u0161ice, Slovakia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3350-2915","authenticated-orcid":false,"given":"Jan","family":"Smotlacha","sequence":"additional","affiliation":[{"name":"BLTP, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0489-7858","authenticated-orcid":false,"given":"Rashid","family":"Nazmitdinov","sequence":"additional","affiliation":[{"name":"BLTP, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia"},{"name":"BLTP, Dubna University, 141982 Dubna, Moscow Region, Russia"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1503","DOI":"10.1021\/nl503641c","article-title":"Strain Shielding from Mechanically Activated Covalent Bond Formation during Nanoindentation of Graphene Delays the Onset of Failure","volume":"15","author":"Kumar","year":"2015","journal-title":"Nano Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1038\/s41467-019-14130-0","article-title":"Elastic straining of free-standing monolayer graphene","volume":"11","author":"Cao","year":"2020","journal-title":"Nat. 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