Landau-Zener transitions in a linear chain

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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3 figures

Scientific paper

10.1103/PhysRevB.65.153105

We present an exact asymptotic solution for electron transition amplitudes in
an infinite linear chain driven by an external homogeneous time-dependent
electric field. This solution extends the Landau-Zener theory for the case of
infinite number of states in discrete spectrum. In addition to transition
amplitudes we calculate an effective diffusion constant.

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