Effective particles in a multishell nanostructure with hardcore

• URL: http://arxiv.org/abs/2410.05518v1
• Date: Mon, 7 Oct 2024 21:48:12 GMT
• Title: Effective particles in a multishell nanostructure with hardcore
• Authors: H. R. Christiansen, R. M. Lima,
• Abstract summary: In-medium effective carriers with position-dependent mass in a multishell heterostructure are analytically studied. We obtain the exact spectrum of three-dimensional bound eigenstates and the scattering wave-functions for several von Roos ordering classes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In-medium effective carriers with position-dependent mass in a multishell heterostructure are analytically studied. We obtain the exact spectrum of three-dimensional bound eigenstates and the scattering wave-functions for several von Roos ordering classes. Ascribing a continuously varying mass to the carriers in a multilayer type spherical system we use our solutions to compute optical properties such as the absorption coefficients and refraction indices of a nanometric heterostructure. We analyze in detail the case of a GaAs/Al-GaAs alloy and show how these results depend on the ordering class of the kinetic Hamiltonian.

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