Quantum critical point in a periodic Anderson model

Details Quantum critical point in a periodic Anderson model Quantum critical point in a periodic Anderson model

2000-11-07

arxiv.org/abs/cond-mat/0011119v2

Physics

Condensed Matter

Strongly Correlated Electrons

ReVteX, 10 pages, 2 EPS figures. Minor corrections made in the text and in the figure captions from the first version. More re

Scientific paper

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 the exact solution of an appropriate Falicov-Kimball model in infinite dimensions) we demonstrate the existence of a quantum critical point at zero temperature. Below a critical value $V_c$ of the hybridization (or above a critical interaction $U_c$) the system is an {\em insulator} in Gutzwiller's and a {\em semi-metal} in Hubbard's approach, whereas above $V_c$ (below $U_c$) 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 NRG calculations. Our conclusion is that the half-filled symmetric PAM contains a {\em metal-semimetal transition}, not a metal-insulator transition as has been suggested previously.

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