Realization of a scenario with two relaxation rates in the Hubbard Falicov-Kimball model

Article

关键词: DYNAMICAL MEAN-FIELD;    METAL-INSULATOR-TRANSITION;    HALL ANGLE;    INFINITE DIMENSIONS;    FERMION SYSTEMS;    SPECTRA;    V2O3;    LOCALIZATION;    CATASTROPHE;    DEPENDENCE;   

DOI  :  10.1103/PhysRevB.97.075133

来源: SCIE

【 摘 要 】

A single transport relaxation rate governs the decay of both longitudinal and Hall currents in Landau Fermi liquids (FL). Breakdown of this fundamental feature, first observed in two-dimensional cuprates and subsequently in other three-dimensional correlated systems close to the Mott metal-insulator transition, played a pivotal role in emergence of a non-FL (NFL) paradigm in higher dimensions D(>1). Motivated hereby, we explore the emergence of this two relaxation rates scenario in the Hubbard Falicov-Kimball model (HFKM) using the dynamical mean-field theory (DMFT). Specializing to D = 3, we find, beyond a critical Falicov-Kimball (FK) interaction, that two distinct relaxation rates governing distinct temperature (T) dependence of the longitudinal and Hall currents naturally emerges in the NFL metal. Our results show good accord with the experiment in V2-yO3 near the metal-to-insulator transition (MIT). We rationalize this surprising finding by an analytical analysis of the structure of charge and spin Hamiltonians in the underlying impurity problem, specifically through a bosonization method applied to the Wolff model and connecting it to the x-ray edge problem.

【 授权许可】

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