Persistent current of relativistic electrons on a Dirac ring in presence of impurities

Handle URI:
http://hdl.handle.net/10754/594300
Title:
Persistent current of relativistic electrons on a Dirac ring in presence of impurities
Authors:
Ghosh, Sumit; Saha, Arijit
Abstract:
We study the behaviour of persistent current of relativistic electrons on a one dimensional ring in presence of attractive/repulsive scattering potentials. In particular, we investigate the persistent current in accordance with the strength as well as the number of the scattering potential. We find that in presence of single scatterer the persistent current becomes smaller in magnitude than the scattering free scenario. This behaviour is similar to the non-relativistic case. Even for a very strong scattering potential, finite amount of persistent current remains for a relativistic ring. In presence of multiple scatterer we observe that the persistent current is maximum when the scatterers are placed uniformly compared to the current averaged over random configurations. However if we increase the number of scatterers, we find that the random averaged current increases with the number of scatterers. The latter behaviour is in contrast to the non-relativistic case. © 2014 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Ghosh S, Saha A (2014) Persistent current of relativistic electrons on a Dirac ring in presence of impurities. Eur Phys J B 87. Available: http://dx.doi.org/10.1140/epjb/e2014-50223-1.
Publisher:
Springer Science + Business Media
Journal:
The European Physical Journal B
Issue Date:
Aug-2014
DOI:
10.1140/epjb/e2014-50223-1
ARXIV:
arXiv:1308.4071v3
Type:
Article
ISSN:
1434-6028; 1434-6036
Sponsors:
S.G. likes to acknowledge the financial support by the CSIR, India. The work of A.S. has been supported by the Swiss NSF, NCCR Nanoscience, and NCCR QSIT.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGhosh, Sumiten
dc.contributor.authorSaha, Arijiten
dc.date.accessioned2016-01-19T14:45:32Zen
dc.date.available2016-01-19T14:45:32Zen
dc.date.issued2014-08en
dc.identifier.citationGhosh S, Saha A (2014) Persistent current of relativistic electrons on a Dirac ring in presence of impurities. Eur Phys J B 87. Available: http://dx.doi.org/10.1140/epjb/e2014-50223-1.en
dc.identifier.issn1434-6028en
dc.identifier.issn1434-6036en
dc.identifier.doi10.1140/epjb/e2014-50223-1en
dc.identifier.urihttp://hdl.handle.net/10754/594300en
dc.description.abstractWe study the behaviour of persistent current of relativistic electrons on a one dimensional ring in presence of attractive/repulsive scattering potentials. In particular, we investigate the persistent current in accordance with the strength as well as the number of the scattering potential. We find that in presence of single scatterer the persistent current becomes smaller in magnitude than the scattering free scenario. This behaviour is similar to the non-relativistic case. Even for a very strong scattering potential, finite amount of persistent current remains for a relativistic ring. In presence of multiple scatterer we observe that the persistent current is maximum when the scatterers are placed uniformly compared to the current averaged over random configurations. However if we increase the number of scatterers, we find that the random averaged current increases with the number of scatterers. The latter behaviour is in contrast to the non-relativistic case. © 2014 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.en
dc.description.sponsorshipS.G. likes to acknowledge the financial support by the CSIR, India. The work of A.S. has been supported by the Swiss NSF, NCCR Nanoscience, and NCCR QSIT.en
dc.publisherSpringer Science + Business Mediaen
dc.subjectMesoscopic and Nanoscale Systemsen
dc.titlePersistent current of relativistic electrons on a Dirac ring in presence of impuritiesen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalThe European Physical Journal Ben
dc.contributor.institutionS.N. Bose National Centre for Basic Sciences, Salt-Lake 700098, Kolkata, Indiaen
dc.contributor.institutionDepartment of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerlanden
dc.identifier.arxividarXiv:1308.4071v3en
kaust.authorGhosh, Sumiten
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