The local potential and current distributions in a confined ideal two-dimensional electron gas with perpendicular magnetic field are calculated. The nondissipative current-carrying state of the system is described by a generalized equilibrium density operator appropriate for the boundary conditions. The Coulomb interaction of the electrons is taken into account in Hartree approximation. The results obtained by numerical computation allow the interpretation of seemingly contradictory experimental data.
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Pfannkuche et al. (1992) studied this question.
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