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Topological transitions in size-quantized heterostructures

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Abstract

An exact solution is obtained to the problem of the spectrum of holes, described by the Luttinger Hamiltonian, in a quantum well of finite depth under arbitrary uniaxial stresses in the well and the barrier. Conditions for the topological transitions accompanied by the variation in the connectivity of the isoenergetic surface are found. It is shown that, for certain values of model parameters, the effective mass of holes in the ground-state subband of size quantization becomes negative.

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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 123, No. 1, 2003, pp. 172–188.

Original Russian Text Copyright © 2003 by Gorbatsevich, Zhabitsky.

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Gorbatsevich, A.A., Zhabitsky, O.V. Topological transitions in size-quantized heterostructures. J. Exp. Theor. Phys. 96, 150–164 (2003). https://doi.org/10.1134/1.1545394

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