Chapter

Deep Impurities with Collision Delay

Klaus Morawetz

in Interacting Systems far from Equilibrium

Published in print December 2017 | ISBN: 9780198797241
Published online February 2018 | e-ISBN: 9780191838743 | DOI: https://dx.doi.org/10.1093/oso/9780198797241.003.0017
Deep Impurities with Collision Delay

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The linearised nonlocal kinetic equation is solved analytically for impurity scattering. The resulting response function provides the conductivity, plasma oscillation and Fermi momentum. It is found that virial corrections nearly compensate the wave-function renormalizations rendering the conductivity and plasma mode unchanged. Due to the appearance of the correlated density, the Luttinger theorem does not hold and the screening length is influenced. Explicit results are given for a typical semiconductor. Elastic scattering of electrons by impurities is the simplest but still very interesting dissipative mechanism in semiconductors. Its simplicity follows from the absence of the impurity dynamics, so that individual collisions are described by the motion of an electron in a fixed potential.

Keywords: impurity scattering; dielectric function; virial corrections; wave function renormalisation; conductivity; plasma mode; screening length; band structure; Luttinger theorem; Fermi momentum

Chapter.  3762 words.  Illustrated.

Subjects: Condensed Matter Physics

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