ORIGINAL RESEARCH article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1586773
This article is part of the Research TopicRecent Mathematical and Theoretical Progress in Quantum MechanicsView all articles
Coherent potential approximation for disordered narrow-gap semiconductor superlattices
Provisionally accepted
- 1Facultad de Ciencias Físicas, Universidad Complutense de Madrid, Madrid, Madrid, Spain
- 2Autonomous University of Madrid, Madrid, Madrid, Spain
- 3University of Salamanca, Salamanca, Spain
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We introduce a solvable two-band model to study electron energy levels in disordered narrowgap semiconductor superlattices within the k • p approach. The interaction of electrons with the impurities is accounted for by a separable pseudo-potential method that allows us to obtain closed expressions for the configurationally averaged Green's function using the coherent potential approximation. This approximation is regarded as the best single-site scattering theory to calculate the average spectral properties of disordered systems. As a working example, we focus on superlattices based on IV-VI compound semiconductors and present a thorough study of the configurationally averaged density of states. Our results are compared with the predictions of a single-band model and we conclude that the latter underestimates the density of states close to the band edge.
Keywords: Dirac equation, Kronig-Penney model, non-local pseudopotential, disorder, Coherent Potential Approximation
Received: 03 Mar 2025; Accepted: 10 Jun 2025.
Copyright: © 2025 Martínez, Alcázar Ruano, Baba, Arroyo-Gascón and Domínguez-Adame. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Dunkan Martínez, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, Madrid, 28040, Madrid, Spain
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