Exact solution for a disordered correlated electron model - art. no. 033101

The first exact solution for a disordered ensemble of embedded magnetic imp urities in a correlated electron chain is presented. We have studied nonlin ear equations that exactly determine the thermodynamics of that disordered correlated electron system for arbitrary ranges of the temperature, externa l magnetic field, and number of electrons. We have shown how strong disorde r divergences of the low-temperature susceptibility and specific heat appea r, which drastically differ from the homogeneous case. Low-energy asymptoti cs for the behavior of several characteristics of the disordered correlated electron chain are calculated analytically; they reveal universal properti es.