Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-02-25
JLTP 126, 1195 (2002)
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages, dedicated to Peter Woelfle on the occasion of his 60th birthday
Scientific paper
Umklapp scattering determines the conductivity of clean metals. In typical quasi one-dimensional Fermi liquids with an open Fermi surface, certain pseudo-momenta do not decay by 2-particle collisions even in situations where Umklapp scattering relaxes the momentum of the quasi particles efficiently. Due to this approximate conservation of pseudo-momentum, a certain fraction of the electrical current decays very slowly and a well-pronounced low-frequency peak emerges in the optical conductivity. We develop simple criteria to determine under what conditions approximate pseudo-momentum conservation is relevant and calculate within in Fermi liquid theory the weights of the corresponding low-frequency peaks and the temperature dependence of the various relevant decay rates. Based on these considerations, we obtain a qualitative picture of the frequency and temperature dependence of the optical conductivity of an anisotropic Fermi liquid.
Andrei Natan
Rosch Achim
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