Semiclassical asymptotics in magnetic Bloch bands

  title={Semiclassical asymptotics in magnetic Bloch bands},
  author={Mouez Dimassi and Jean-Claude Guillot and James Ralston},
  journal={Journal of Physics A},
This paper gives a simple construction of wave packets localized near semiclassical trajectories for an electron subject to external electric and magnetic fields. We assume that the magnetic and electric potentials are slowly varying perturbations of the potential of a constant magnetic field and a periodic lattice potential, respectively. 

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  • 1995
A semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role is developed, and an Onsager-like formula for the quantization of cyclotron orbits is derived.

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  • 1996
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