Conductivity Measure from the Entropy Production of Fermions in Disordered Media
Jean-Bernard Bru,
(UPV/EHU)
Jueves 17 de enero 2013
I will present a notion of "AC-conductivity measure" in
linear response theory for free fermions on the lattice subjected to
a random potential and an electric field that is time- and
space-dependent. This notion is based on the positivity of the
entropy production and Bochner's theorem. I will additionally
explain Green-Kubo relations involving time-correlations of bosonic
fields coming from current fluctuations in the system. General
properties of the AC-conductivity measure, as its behavior at large,
small and moderate randomness, will also be discussed.