2004/07/31 by C. J. Bolech, N. Andrei
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.71.205104
published as Phys. Rev. B 71, 205104 (2005) · 28 pages, 8 figures, 1 table
arxiv created 2005/05/28 · arxiv updated 2009/12/01
We present the solution of the SU(N) x SU(M) Anderson impurity model using the Bethe-Ansatz. We first explain what extensions to the formalism were required for the solution. Subsequently we determine the ground state and derive the thermodynamics over the full range of temperature and fields. We identify the different regimes of valence fluctuation at high temperatures, followed by moment formation or intrinsic mixed valence at intermediate temperatures and a low temperature non-Fermi liquid phase. Among other things we obtain the impurity entropy, charge valence and specific heat over the full range of temperature. We show that the low-energy physics is governed by a line of fixed points. This describes non-Fermi-liquid behavior in the integral valence regime, associated with moment formation, as well as in the mixed valence regime where no moment forms.