Scattering induced current in a tight-binding band

Abstract

In the single band tight-binding approximation, we consider the transport properties of an electron in a homogeneous static electric field. We show that repeated interactions of the electron with two-level systems in thermal equilibrium suppress the Bloch oscillations and induce a steady current, the statistical properties of which we study.

References in corpus (2)

• Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
• Fredholm determinants and the statistics of charge transport

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• Dequantization via quantum channels
• Quantum Diffusion with Drift and the Einstein Relation II
• Derivation of some translation-invariant Lindblad equations for a quantum Brownian particle
• Dissipative dynamics of non-interacting fermion systems and conductivity