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Higher Landau levels contribution to the energy of interacting electrons in a quantum dot
Authors:Augusto Gonzalez  Juan David Serna  Roberto Capote  Guillermo Avendao
Institution:aDepartamento de Fisica, Universidad de Antioquia, AA 1040, Medellin, Colombia;bInstituto de Cibernetica, Matematica y Fisica, Calle E 309, Vedado, Ciudad Habana, Cuba;cDepartment of Physics, University of Arkansas, Fayetteville, AR 72701, USA;dInternational Atomic Energy Agency, Nuclear Data Section, Vienna A-1400, Austria
Abstract:Properly regularized second-order degenerate perturbation theory is applied to compute the contribution of higher Landau levels to the low-energy spectrum of interacting electrons in a disk-shaped quantum dot. At “filling factor” near , this contribution proves to be larger than energy differences between states with different spin polarizations. After checking convergence of the method in small systems, we show results for a 12-electron quantum dot, a system which is hardly tractable by means of exact diagonalization techniques.
Keywords:Quantum dots  High magnetic fields  Perturbation theory
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