Theory of electron--phonon scattering effects in metals. Progress report, March 1--November 30, 1973 Page: 5 of 10
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1.
.I. Introduction
The :topics which we have investigated and the results obtained will be
discussed only briefly and qualitatively here. The details will be prepared
-for publication and submitted as a technical. report later in this Contract
year. In -the next section we briefly describe the scope of our investigation
to date. The results of that investigation are discussed in sec. III.
II. Scope of Investigation
While -our long range goal is to study the -effect of anisotropic electron-
phonon scattering on transport coefficients of metals in general, we have
restricted our study so. far to the electrical resistivity. After this :case
has been studied in detail we shall proceed to treat the others (the
magnetoresistivity was named in our original research proposal, and the current
proposal includes the thermal conductivity and thermoelectric power). In the
electrical resistivity problem we seek to relate the transport relaxation
time anisotropy to deviations from Matthiessen's rule(') (MR). The
investigation proceeds by analytic modeling as described in the next section.
The model treats different Fermi surface types on -equal footing, so that we
can investigate the qualitatively different kinds of behavior exhibited by
.different types. The model parameters are related explicitly to electron-phonon
matrix elements, and because of this the anisotropic transport time. can be
related to the anisotropic quasiparticle lifetime. The latter can be measured
-directly and therefore provides an experimental check on our modeling.
We have studied the general problem of the low-temperature resistivity
of potassium(2). The purpose of this was to clarify the state of agreement
-between experiment and theory, and to clarify the roles of different physical
mechanisms at low temperatures. Potassium is an important test case of our
modeling technique., and deserves close attention.
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Lawrence, W.E. Theory of electron--phonon scattering effects in metals. Progress report, March 1--November 30, 1973, report, January 1, 1973; United States. (https://digital.library.unt.edu/ark:/67531/metadc1017844/m1/5/: accessed May 8, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.