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- W1578071187 abstract "We present a consistent treatment of the quantum Hall effect within the electrostatic approximation. We derive the form of the density of states (DOS) which differs from the usual gaussian shape valid for non-interacting electrons. Below a crossover temperature, this DOS gradually transforms into the non-interacting DOS near the Fermi energy. We obtain an estimate of this crossover temperature, which determines the range of validity of this framework, and allows a reconciliation of the width and temperature dependence of the quantum Hall plateaus with experiments. The DOS dramatically enhances the electron-lattice relaxation rate, thus reducing the possibility of electron overheating. The quantum Hall effect (QHE) is usually thought of as a manifestation of the absence of scattering of electrons carrying the Hall current. This is caused by the Fermi level falling between two mobility edges. Each mobility edge in an infinite disordered system is the energy of a unique extended state on a given Landau level (LL). It has been shown, numerically and in a number of approximations 1–3 , that the density of states (DOS) of non-interacting electrons is symmetric around the extended state energy of each LL, and has a width that depends on the strength of disorder but which is al" @default.
- W1578071187 created "2016-06-24" @default.
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- W1578071187 date "1998-10-07" @default.
- W1578071187 modified "2023-09-27" @default.
- W1578071187 title "Density of states, screening and the width of the quantum Hall plateaus" @default.
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- W1578071187 hasPublicationYear "1998" @default.
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