Universal dephasing rate due to diluted Kondo impurities
Abstract
We calculate the dephasing rate due to magnetic impurities in a weakly disordered metal as measured in a weak localization experiment. If the density nS of magnetic impurities is sufficiently low, the dephasing rate 1/tauphi is a universal function, 1/tauphi = (nS/nu) f(T/TK), where TK is the Kondo temperature and nu the density of states. We show that inelastic vertex corrections with a typical energy transfer Delta E are suppressed by powers of 1/(tauphi Delta E) proportional to nS. Therefore the dephasing rate can be calculated from the inelastic cross section proportional to pi nu Im T- |pi nu T|2, where T is the T-matrix which is evaluated numerically exactly using the numerical renormalization group.
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