Semiconductors

Boundary conditions for smooth envelopes of wave functions in type-II heterojunction structures

A. Yu. Maslov, O. V. Proshina

Ioffe Institute, St. Petersburg

Abstract: 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.

Received: 21.07.2025
Revised: 18.10.2025
Accepted: 21.10.2025

DOI: 10.61011/FTT.2025.10.61963.208-25

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