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dc.contributor.authorHartmann, Richard R.
dc.contributor.authorPortnoi, M.E.
dc.date.accessioned2014-03-20T11:50:44Z
dc.date.issued2014
dc.description.abstractWe analyze bound modes of two-dimensional massless Dirac fermions confined within a hyperbolic secant potential, which provides a good fit for potential profiles of existing top-gated graphene structures. We show that bound states of both positive and negative energies exist in the energy spectrum and that there is a threshold value of the characteristic potential strength for which the first mode appears. Analytical solutions are presented in several limited cases and supercriticality is discussed.en_GB
dc.description.sponsorshipURCOen_GB
dc.description.sponsorshipEU FP7 ITN NOTEDEVen_GB
dc.description.sponsorshipFP7 IRSES project SPINMETen_GB
dc.description.sponsorshipFP7 IRSES project QOCaNen_GB
dc.description.sponsorshipFP7 IRSES project InterNoMen_GB
dc.identifier.citationVol. 89 (1), article 012101en_GB
dc.identifier.doi10.1103/PhysRevA.89.012101
dc.identifier.grantnumber17 N 1TAY12-1TAY13en_GB
dc.identifier.grantnumberFP7-607521en_GB
dc.identifier.grantnumberFP7-246784en_GB
dc.identifier.grantnumberFP7-316432en_GB
dc.identifier.grantnumberFP7-612624en_GB
dc.identifier.urihttp://hdl.handle.net/10871/14666
dc.language.isoenen_GB
dc.publisherAmerican Physical Societyen_GB
dc.relation.urlhttp://dx.doi.org/10.1103/PhysRevA.89.012101en_GB
dc.titleQuasi-exact solution to the Dirac equation for the hyperbolic-secant potentialen_GB
dc.typeArticleen_GB
dc.date.available2014-03-20T11:50:44Z
dc.identifier.issn1050-2947
dc.descriptionCopyright © 2014 American Physical Societyen_GB
dc.identifier.eissn1094-1622
dc.identifier.journalPhysical Review A - Atomic, Molecular, and Optical Physicsen_GB


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