Low-temperature behavior of disordered magnetic impurities: Distribution of effective Kondo temperatures

Several rare-earth compounds, low-dimensional organic conductors, and spin chains exhibit low-temperature divergences of their magnetic susceptibility and specific heat (non-Fermi-liquid behavior). Such divergences are often related to disordered ensembles of magnetic impurities in those systems. In this work the distribution function of the effective characteristic of a single magnetic impurity, the Kondo temperature, is derived. We calculate how the distributions of Kondo temperatures depend on the effective dimensionality of the problem and on the concentration of impurities. (C) 2004 American Institute of Physics.