Local Density of States and Level Width for Wannier-Stark Ladders

Details Local Density of States and Level Width for Wannier-Stark Ladders Local Density of States and Level Width for Wannier-Stark Ladders

1993-07-21

arxiv.org/abs/cond-mat/9307049v1

Phys. Rev. B48, 2215 (93)

Physics

Condensed Matter

14 pages, plain TeX, 9 figures not included, available on request, to be published in Phys.Rev.B47

Scientific paper

10.1103/PhysRevB.48.2215

The local density of states \rho(x,E) is calculated for a Bloch electron in an electric field. Depending on the system size, we can see one or more sequences of Wannier-Stark ladders in \rho(x,E), with Lorentz type level widths and apparent spatial localization of the states. Our model is a chain of delta function potential barriers plus a step-like electric potential, with open boundary condition at both ends of the system. Using a wave tunneling picture, we find that the level widths shrink to zero as an inverse power as the system size approaches infinity, confirming an earlier result.

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