English

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

Mesoscale and Nanoscale Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0502613,
  title  = {Electronic Structure of Three-Dimensional Superlattices Subject to Tilted Magnetic Fields},
  author = {N. A. Goncharuk and L. Smrcka and J. Kucera and K. Vyborny},
  journal= {arXiv preprint arXiv:cond-mat/0502613},
  year   = {2007}
}

Comments

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