Multicomponent dense electron gas as a model of Si MOSFET |
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Authors: | S. V. Iordanski A. Kashuba |
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Affiliation: | (1) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334, Russia |
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Abstract: | We solve a 2D model of N-component dense electron gas in the limit N→∞ and in the range of the Coulomb interaction parameter N ?3/2?r s ?1. The quasiparticle interaction on the Fermi circle vanishes as ?2/Nm. The ground-state energy and the effective mass are found as series in powers of r s 2/3 . In the quantum Hall state on the lowest Landau level at integer filling 1?ν<N, the charge-activation-energy gap and the exchange constant are Δ=log(r s N3/2)?ωH/ν and J=0.66?ωH/ν. |
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