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Electronic Structure of Three-Dimensional Superlattices Subject to Tilted Magnetic Fields

N. A. Goncharuk·L. Smrcka·J. Kucera·K. Vyborny
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Abstract

Full quantum-mechanical description of electrons moving in 3D structures with unidirectional periodic modulation subject to tilted magnetic fields requires an extensive numerical calculation. To understand magneto-oscillations in such systems it is in many cases sufficient to use the quasi-classical approach, in which the zero-magnetic-field Fermi surface is considered as a magnetic-field-independent rigid body in k-space and periods of oscillations are related to extremal cross-sections of the Fermi surface cut by planes perpendicular to the magnetic-field direction. We point out cases where the quasi-classical treatment fails and propose a simple tight-binding fully-quantum-mechanical model of the superlattice electronic structure.

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N. A. Goncharuk, L. Smrcka, J. Kucera, K. Vyborny. 2005-02-25. Electronic Structure of Three-Dimensional Superlattices Subject to Tilted Magnetic Fields. https://doi.org/10.1103/physrevb.71.195318

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