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Reservoir hypothesis for the quantum hall effect
Author(s) -
Raymond A.,
Sibari H.
Publication year - 1994
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221830112
Subject(s) - landau quantization , condensed matter physics , quantum hall effect , magnetic field , physics , fermi gas , quantization (signal processing) , electron , electrical resistivity and conductivity , heterojunction , quantum oscillations , hall effect , shubnikov–de haas effect , fermi energy , thermal hall effect , density of states , quantum mechanics , mathematics , algorithm
It is assumed that in modulation‐doped heterojunctions the 2D electron gas is in thermodynamical equilibrium with an external reservoir. In a quantizing magnetic field energy gaps appear in the density of states of the 2D system. This produces, when the magnetic field B increases, oscillations of the density of the free 2D electrons, because of the transfer of electrons into (and out of) the reservoir. It is shown that these oscillations of N 8 induce the formation of plateaus of the Hall resistivity ϱ xy with the exact quantization in h/ie 2 and vanishing values of the resistivity ϱ xx , when the Fermi energy is between Landau levels. The model developed in the triangular well approximation accounts well for the width and shape of the Hall steps and for the ϱ xx behaviour in a magnetic field, in a large range of temperatures.