Electron transport in systems of reduced dimensionality

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Abstract

The Boltzmann equation is modified to examine the effects of a range of scattering mechanisms on the DC conductivity of semiconductor material in the form of thin sheets and fine wires.

This is solved exactly for elastic scattering mechanisms by introducing a set of momentum relaxation times which are relevant to the occupied sub-bands. These times are calculated for alloy scattering, surface roughness scattering and the acoustic phonon mechanisms at high temperatures.

At low temperatures the inelasticity of the acoustic phonon mechanisms is taken into account and a variational method is employed. At very low temperatures we show that the acoustic deformation potential gives rise to a mobility which varies at T-5.

We use an iterative method to examine the strongly inelastic polar optic phonon scattering mechanism in a wire. Ridley has suggested that the momentum relaxation time may be negative in this system. We introduce a time relevant to transport measurements and this is found to be positive. It is shown that the time derived by Ridley may be of relevance to time resolved transport measurements.

Item Type: Thesis (PhD)
Subjects: Q Science > QC Physics
Library of Congress Subject Headings (LCSH): Electron transport, Semiconductors, Electric conductivity, Scattering (Physics), Phonons -- Scattering
Official Date: June 1987
Dates:
Date
Event
June 1987
Submitted
Institution: University of Warwick
Theses Department: Department of Physics
Thesis Type: PhD
Publication Status: Unpublished
Supervisor(s)/Advisor: Butcher, Paul N.
Sponsors: Science and Engineering Research Council (Great Britain)
Format of File: pdf
Extent: vi, 120 leaves : illustrations, charts
Language: eng
Persistent URL: https://wrap.warwick.ac.uk/106997/

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