Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigorous results for the electrical conductivity due to electron-phonon
  scattering   We present a rigorous solution of the Boltzmann equation for the
electron-phonon scattering problem in three spatial dimensions in the limit of
low temperatures. The different temperature scaling of the various scattering
rates turns the temperature into a control parameter that is not available in
classical kinetic theory and allows for a rigorous proof of Bloch's $T^5$ law.
The relation between the Boltzmann equation and the Kubo formula is also
discussed, as well as implications for the scattering of electrons by
excitations other than phonons.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga