Multiband Wigner-function formalism applied to the Zener band transition in a semiconductor

摘要

The Wigner-function approach is used to describe the Zener transition between the conduction and the valence band in a semiconductor. In the Weyl quantization framework a diagonalization procedure is applied to the multiband k·p Hamiltonian and a new set of Wigner multiband functions is defined. An approximate closed-form solution is obtained by an iterative procedure which exploits the different time scales on which the intraband and interband dynamical variables evolve. The single-band limit has been discussed and some quantum corrections to the single-band trajectory have been obtained.