Spatially inhomogeneous states of charge carrier in graphene
نویسندگان
چکیده
We study an interaction of 2D quasiparticles with linear dispersion E = ±u|p| (graphene) with impurity potential. 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. It is found the scattering cross-section of electrons (holes) of graphene on the axially symmetric potential well and it is shown that when the energy of particle increases infinitely the cross-section tends to constant. It is derived the effective Hamiltonian for the curved quantum wire of graphene.
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