Physics of the Solid State
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Boundary conditions for smooth envelopes of wave functions in type-II heterojunction structures
Proshina O.V.1, Proshina O.V.
1
1Ioffe Institute, St. Petersburg, Russia
Email: maslov.ton@mail.ioffe.ru, proshina.ton@mail.ioffe.ru
A model problem is considered, the solutions of which imply some constraints on the possible boundary conditions in the method of smooth envelope wave functions. The results of this paper may be important for describing structures with type II heterojunctions, which are currently widely used in semiconductor electronics. According to our model results, to obtain the lowest energy values of quantum confinement levels in such structures, different boundary conditions should be used for electrons and holes. The calculations of the energies of size quantization levels show a significant difference in results when using different boundary conditions. This provides an opportunity for experimental verification of the results obtained using the proposed model problem. Keywords: type II heterojunctions, boundary conditions, quantum well, effective mass.
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