Perturbed crystals in therepresentation. IV. The homogeneous electric field
- 15 February 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 19 (4) , 1946-1953
- https://doi.org/10.1103/physrevb.19.1946
Abstract
Wannier functions are defined for a Bloch electron in a homogeneous electric field. Both the eigenstates and the time-dependent solutions are given in terms of the newly developed Wannier functions. The latter are also used for defining multiband operators in the space of envelope functions for the coordinate, the velocity, and the acceleration. Different relationships are established between them. Bands in the presence of an electric field are derived as an asymptotic expansion in powers of the field.Keywords
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