Basic Properties of Conductivity and Normal Hall Effect in the Periodic Anderson Model

Abstract

Exact formulas of diagonal conductivity ${\sigma }_{xx}$ and Hall conductivity ${\sigma }_{xy}$ are derived from the Kubo formula in hybridized two-orbital systems with arbitrary band dispersions. On the basis of the theoretical framework for the Fermi liquid based on these formulas, the ground-state properties of the periodic Anderson model with electron correlation and weak impurity scattering are studied on the square lattice. It is shown that imbalance of the mass-renormalization factors in ${\sigma }_{xx}$ and ${\sigma }_{xy}$ causes remarkable increase in the valence-fluctuation regime as the f level increases while the cancellation of the renormalization factors causes slight increase in ${\sigma }_{xx}$ and ${\sigma }_{xy}$ in the Kondo regime. The Hall coefficient $R_{\mathrm{H}}$ shows almost constant behavior in both the regimes. Near half filling, $R_{\mathrm{H}}$ is expressed by the total hole density as $R_{\mathrm{H}}=1/({\bar{n}}_{\mathrm{hole}}e)$ while $R_{\mathrm{H}}$ approaches zero near quarter filling, which reflects the curvature of the Fermi surface. These results hold as far as the damping rate for f electrons is less than about $10\%$ of the renormalized hybridization gap. From these results we discuss pressure dependence of residual resistivity and normal Hall effect in Ce- and Yb-based heavy electron systems.

17 pages, 18 figures

References in corpus (10)

• Signatures of valence fluctuations in CeCu2Si2 under high pressure
• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Quantum Valence Criticality as Origin of Unconventional Critical Phenomena
• Roles of Critical Valence Fluctuations in Ce- and Yb-Based Heavy Fermion Metals
• Theory of Quasi-Universal Ratio of Seebeck Coefficient to Specific Heat in Zero-Temperature Limit in Correlated Metals
• Unconventional Quantum Criticality due to Critical Valence Transition
• Origin of Drastic Change of Fermi Surface and Transport Anomalies in CeRhIn5 under Pressure
• Quantum phase transition in the heavy-fermion compound YbIr${}_2$Si${}_2$
• Search for Pressure Induced Quantum Criticality in YbFe2Zn20