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

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

2005-02-25

arxiv.org/abs/cond-mat/0502613v1

Phys. Rev. B 71, 195318 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 7 figures, RevTex, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.195318

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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