Quantum critical point in a periodic Anderson model

Phys. Rev. B 64, 195123 – Published 22 October 2001
Peter van Dongen, Kingshuk Majumdar, Carey Huscroft, and Fu-Chun Zhang


We investigate the symmetric periodic Anderson model (PAM) on a three-dimensional cubic lattice with nearest-neighbor hopping and hybridization matrix elements. Using Gutzwiller’s variational method and the Hubbard-III approximation (which corresponds to an exact solution of the appropriate Falicov-Kimball model in infinite dimensions) we demonstrate the existence of a quantum critical point at zero temperature. Below a critical value Vc of the hybridization (or above a critical interaction Uc) the system is an insulator in Gutzwiller’s and a semimetal in Hubbard’s approach, whereas above Vc (below Uc) it behaves like a metal in both approximations. These predictions are compared with the density of states of the d and f bands calculated from quantum Monte Carlo and numerical renormalization group calculations. Our conclusion is that the half-filled symmetric PAM contains a metal-semimetal transition, not a metal-insulator transition as has been suggested previously.

DOI: http://dx.doi.org/10.1103/PhysRevB.64.195123

  • Received 7 November 2000
  • Published 22 October 2001

© 2001 The American Physical Society

Authors & Affiliations

Peter van Dongen1, Kingshuk Majumdar2,*, Carey Huscroft2, and Fu-Chun Zhang2

  • 1Institut für Physik, Johannes Gutenberg-Universität, 55099 Mainz, Germany
  • 2Department of Physics, University of Cincinnati, Ohio 45221-0011

  • *Present address: Department of Physics, Berea College, Berea, KY 40404.

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