Hartree-Fock approximation for the problem of particle storage in deformed nanolayer
Abstract
The paper deals with the problem of quantum particle storage in a nanolayered structures. The system of a few electrons interacting via a δ-potential is considered. The particles are placed into a two-dimensional deformed waveguide. From a mathematical point of view, the bound state of the system means that the corresponding Hamiltonian will have eigenvalues. To treat a multi-particle problem, the Hartree-Fock approach and the finite element method are used. Three different types of the perturbation are considered: deformation of the layer boundary, a small window in a wall between two layers and a bent layer. The systems of 2–10 particles with various total spins are studied. The dependence of the minimal deformation parameter, which keeps bound state on the number of particles, is given. Comparison of the storage efficiencies in those cases is made.
Supporting agencies: Supported by Federal Targeted Program “Scientific and Educational Human Resources for Innovation-Driven Russia” (contracts P689 NK-526P, 14.740.11.0879, and 16.740.11.0030), grant 11-08-00267 of Russian Foundation for Basic Researches and by Federal Targeted Program “Researches and Development in the Priority Directions Developments of a Scientific and Technological Complex of Russia 2007-2013” (state contract 07.514.11.4146) and grants of the President of Russia.
About the Authors
I. F. Melikhov
St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Russian Federation
Russian Federation
49 Kronverkskiy, St. Petersburg 197101
I. Yu. Popov
St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Russian Federation
Russian Federation
49 Kronverkskiy, St. Petersburg 197101
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Review
For citations:
Melikhov I.F., Popov I.Yu. Hartree-Fock approximation for the problem of particle storage in deformed nanolayer. Nanosystems: Physics, Chemistry, Mathematics. 2013;4(4):559-563.
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