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Impurity bands in a magnetic field of arbitrary strength
Authors:Wolfram Wiertz  Rolf R. Gerhardts
Affiliation:(1) Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, D-5000 Köln 41, Federal Republic of Germany;(2) Institut für Theoretische Physik, Freien Universität Berlin, Arnimallee 3, D-1000 Berlin 33, Federal Republic of Germany
Abstract:On the basis of the self-consistentt-matrix approximation for a system of quasi free electrons interacting with randomly distributed attractivedelta-potentials, we discuss impurity bands in the presence of a magnetic field of arbitrary strength. We compare the results with existing theoretical work on the limiting cases of weak and strong magnetic fields, which are shown to be partly incompatible, and with experimental work onn-type InSb in the magnetic freeze-out regime. Satisfactory agreement is obtained between the thermal ionisation energy, evaluated from experiments, and the calculated gap energy, separating impurity band and conduction band.
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