Interaction corrections at intermediate temperatures: dephasing time

Abstract

We calculate the temperature dependence of the weak localization correction in a two dimensional system at arbitrary relation between temperature, $T$ and the elastic mean free time. We describe the crossover in the dephasing time ${τ_ϕ(T)}$ between the high temperature, $1/τ_ϕ\simeq T^2 \ln T$, and the low temperature $1/τ_ϕ\simeq T$ behaviors. The prefactors in these dependences are not universal, but are determined by the Fermi liquid constant characterising the spin exchange interaction.