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

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    Type
    Article
    Authors
    Ghosh, Sumit
    Saha, Arijit
    KAUST Department
    Material Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2014-08-01
    Online Publication Date
    2014-08-01
    Print Publication Date
    2014-08
    Permanent link to this record
    http://hdl.handle.net/10754/594300
    
    Metadata
    Show full item record
    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.
    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.
    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.
    Publisher
    Springer Nature
    Journal
    The European Physical Journal B
    DOI
    10.1140/epjb/e2014-50223-1
    arXiv
    1308.4071
    ae974a485f413a2113503eed53cd6c53
    10.1140/epjb/e2014-50223-1
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Material Science and Engineering Program

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