Quantum well electronic states in a tilted magnetic field

We report the energy spectrum and the eigenstates of conduction and uncoupled valence bands of a quantum well under the influence of a tilted magnetic field. In the framework of the envelope approximation, we implement two analytical approaches to obtain the nontrivial solutions of the tilted magnet...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2017-08, Vol.29 (32), p.325503-325503
Main Authors: Trallero-Giner, C, Padilha, J X, Lopez-Richard, V, Marques, G E, Castelano, L K
Format: Article
Language:English
Subjects:
electronic structure
GaAs
perturbation theory
quantum well
tilted magnetic field
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Summary:We report the energy spectrum and the eigenstates of conduction and uncoupled valence bands of a quantum well under the influence of a tilted magnetic field. In the framework of the envelope approximation, we implement two analytical approaches to obtain the nontrivial solutions of the tilted magnetic field: (a) the Bubnov-Galerkin spectral method and b) the perturbation theory. We discuss the validity of each method for a broad range of magnetic field intensity and orientation as well as quantum well thickness. By estimating the accuracy of the perturbation method, we provide explicit analytical solutions for quantum wells in a tilted magnetic field configuration that can be employed to study several quantitative phenomena.
ISSN:0953-8984
1361-648X
DOI:10.1088/1361-648X/aa798c