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Semiclassical description of resonant tunneling

Condensed Matter 2009-10-31 v1 chao-dyn Chaotic Dynamics

Abstract

We derive a semiclassical formula for the tunneling current of electrons trapped in a potential well which can tunnel into and across a wide quantum well. The calculations idealize an experimental situation where a strong magnetic field tilted with respect to an electric field is used. The resulting semiclassical expression is written as the sum over special periodic orbits which hit both walls of the quantum well and are perpendicular to the first wall.

Keywords

Cite

@article{arxiv.cond-mat/9801171,
  title  = {Semiclassical description of resonant tunneling},
  author = {E. B. Bogomolny and D. C. Rouben},
  journal= {arXiv preprint arXiv:cond-mat/9801171},
  year   = {2009}
}

Comments

LaTeX, 8 pages