Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-04-11
Physics
Condensed Matter
Disordered Systems and Neural Networks
to appear in Phys. Rev. B., 21 pages, 3 figures (ps-files)
Scientific paper
10.1103/PhysRevB.56.1213
We investigate the influence of a time dependent, homogeneous electric field on scattering properties of non-interacting electrons in an arbitrary static potential. We develop a method to calculate the (Keldysh) Green's function in two complementary approaches. Starting from a plane wave basis, a formally exact solution is given in terms of the inverse of a matrix containing infinitely many 'photoblocks' which can be evaluated approximately by truncation. In the exact eigenstate basis of the scattering potential, we obtain a version of the Floquet state theory in the Green's functions language. The formalism is checked for cases such as a simple model of a double barrier in a strong electric field. Furthermore, an exact relation between the inelastic scattering rate due to the microwave and the AC conductivity of the system is derived which in particular holds near or at a metal-insulator transition in disordered systems.
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