EFFECTIVE MASS THEOREMS WITH BLOCH MODES CROSSINGS
| Autor: | Victor Chabu, Clotilde Fermanian Kammerer, Fabricio Macià |
|---|---|
| Přispěvatelé: | Universidade de São Paulo (USP), Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12), Universidad Politécnica de Madrid (UPM), Universidade de São Paulo = University of São Paulo (USP) |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| Popis: | We study a Schrödinger equation modeling the dynamics of an electron in a crystal in the asymptotic regime of small wave-length comparable to the characteristic scale of the crystal. Using Floquet Bloch decomposition, we obtain a description of the limit of time averaged energy densities. We make a rather general assumption assuming that the initial data are uniformly bounded in a high order Sobolev spaces and that the crossings between Bloch modes are at worst conical. We show that despite the singularity they create, conical crossing do not trap the energy and do not prevent dispersion. We also investigate the interactions between modes that can occurred when there are some degenerate crossings between Bloch bands. |
| Databáze: | OpenAIRE |
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