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Spin Freezing Transition and Non-Fermi-Liquid Self-Energy in a Three-Orbital Model

2008; American Physical Society; Volume: 101; Issue: 16 Linguagem: Inglês

10.1103/physrevlett.101.166405

1092-0145

Philipp Werner, Emanuel Gull, Matthias Troyer, Andrew J. Millis,

Physics of Superconductivity and Magnetism

A single-site dynamical mean-field study of a three band model with the rotationally invariant interactions appropriate to the ${t}_{2g}$ levels of a transition metal oxide reveals a quantum phase transition between a paramagnetic metallic phase and an incoherent metallic phase with frozen moments. The Mott transitions occurring at electron densities $n=2$, 3 per site take place inside the frozen moment phase. The critical line separating the two phases is characterized by a self-energy with the frequency dependence $\ensuremath{\Sigma}(\ensuremath{\omega})\ensuremath{\sim}\sqrt{\ensuremath{\omega}}$ and a broad quantum critical regime. The findings are discussed in the context of the power law observed in the optical conductivity of ${\mathrm{SrRuO}}_{3}$.