Spatially inhomogeneous states of charge carrier in graphene

dc.creatorChaplik, A. V.
dc.creatorTudorovskiy, T. Ya.
dc.date2006-10-25
dc.date2006-11-06
dc.date.accessioned2026-07-07T07:27:40Z
dc.date.available2026-07-07T07:27:40Z
dc.descriptionWe study an interaction of 2D quasiparticles with linear dispersion (graphene) with impurity potentials. It is shown that in 1D potential well (quantum wire) there are discrete levels, corresponding to localized states, whereas in 2D well (quantum dot) there are no such states. Scattering cross-section of electrons (holes) of graphene by an axially symmetric potential well is found and it is shown that for infinetily large energy of incoming particles the cross-section tends to a constant. The effective Hamiltonian for a curved quantum wire of graphene is derived and it is shown that the corresponding geometric potential cannot form 1D bound states.
dc.description2 figures. The paper was sent to JETP Letters. Reasons for replacing previous versions: added references [4-6], corrected typos
dc.identifierhttps://arxiv.org/abs/cond-mat/0610705
dc.identifierhttp://arxiv.org/abs/cond-mat/0610705
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117455
dc.subjectMesoscale and Nanoscale Physics
dc.titleSpatially inhomogeneous states of charge carrier in graphene
dc.typetext

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