About "ziman"--Dynamics of a single band electron

"ziman" displays single electron orbits, in both k-space and real space, for electrons moving in a two dimensional periodic potential. An electric field may be applied in any direction in the plane, and a magnetic field perpendicular to the plane. The E(k) dispersion relation is denoted by contour lines in the k-space plots. The crystal lattice is taken to be square, but the band structure can be altered to give an x-y anisotropy which leads to the possibility of open orbits.

"ziman" was programmed by Joerg Draeger and Dan Vernon.

About the SSS Project.


Table of contents for Chapter 9 of "Simulations for Solid State Physics"

  1. Introduction
  2. E(k) and the contour plot
  3. Group velocities
  4. Acceleration in electric fields
    1. Acceleration theorem
    2. Effective mass
    3. Band anisotropy*
  5. Magnetic field
    1. Orbits of positive and negative mass
    2. Anisotropy and real space orbits*
  6. Crossed fields**
  7. Summary
  8. Appendix: "ziman" -- the program