6533b85cfe1ef96bd12bcb28
RESEARCH PRODUCT
Quantum critical point in a periodic Anderson model
Carey HuscroftFu-chun ZhangKingshuk MajumdarPeter Van Dongensubject
Condensed Matter::Quantum GasesPhysicsStrongly Correlated Electrons (cond-mat.str-el)Quantum Monte CarloFOS: Physical sciencesCritical value01 natural sciences010305 fluids & plasmasCondensed Matter - Strongly Correlated ElectronsExact solutions in general relativityVariational methodQuantum critical pointQuantum mechanics0103 physical sciencesDensity of statesCondensed Matter::Strongly Correlated ElectronsStrongly correlated material010306 general physicsAnderson impurity modeldescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-11-07 | Physical Review B |