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Zener Breakdown in Superlattices

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 141))

Abstract

The motion of a one-dimensional Bloch electron with mass m and charge —e in an external field F is governed by the Hamiltonian

$$\hat H = - \frac{{{\hbar ^2}}}{{2m}}\frac{{{d^2}}}{{d{z^2}}} + U\left( z \right) + eFz;\quad U\left( {z + a} \right) = U\left( z \right).$$
(4.1)

The eigenvalue problem of Ĥ,known as the Wannier—Stark problem, has drawn the attention of generations of physicists.

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Glutsch, S. (2004). Zener Breakdown in Superlattices. In: Excitons in Low-Dimensional Semiconductors. Springer Series in Solid-State Sciences, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07150-2_4

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