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Model of tunnelling through periodic array of quantum dots in a magnetic field
Authors:I. Yu. Popov S. A. Osipov
Affiliation:I.Yu.Popov and S.A.Osipov St.Petersburg National Research University of Information Technologies,Mechanics and Optics,Kronverkskiy,49,St.Petersburg 197101,Russia
Abstract:A two-dimensional periodic array of quantum dots with two laterally coupled leads in a magnetic field is considered.The model of electron transport through the system based on the theory of self-adjoint extensions of symmetric operators is suggested.We obtain the formula for the transmission coefficient and investigate its dependence on the magnetic field.
Keywords:tunnelling   nanostructure   operator extension theory
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