Realization of a "Two Relaxation Rates" in the Hubbard-Falicov-Kimball Model

Abstract

A single transport relaxation rate governs the decay of both, longitudinal and Hall currents in Landau Fermi Liquids (LFL). Breakdown of this fundamental feature, first observed in cuprates and subsequently in other three-dimensional correlated systems close to (partial or complete) Mott metal-insulator transitions, played a pivotal role in emergence of a non-Landau Fermi liquid 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 FK interaction, that two distinct relaxation rates governing distinct temperature ($T$) dependence of the longitudinal and Hall currents naturally emerges in the non-LFL metal. We rationalize this surprising finding by an analytical analysis of the structure of charge and spin correlations in the underlying impurity problem, and point out good accord with observations in the famed case of V${}_{2-y}$O${}_3$ near the MIT.

References in corpus (27)

• Anomalous Normal-State Properties of High-T${}_c$ Superconductors -- Intrinsic Properties of Strongly Correlated Electron Systems?
• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Mott-Hubbard Metal-Insulator Transition in Paramagnetic V_2O_3: a LDA+DMFT(QMC) Study
• A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Enhanced Crystal Field Splitting and Orbital Selective Coherence by Strong Correlations in V_2O_3
• Non-Fermi Liquid Behavior and Double-Exchange Physics in Orbital-Selective Mott Systems
• Intrinsic Hall response of the CuO2 planes in a chain-plane-composite system of YBa2Cu3Oy
• Orbital selective insulator-metal transition in V2O3 under external pressure
• Orbital Switching and the First-Order Insulator-Metal Transition in Paramagnetic V_2O_3
• Anderson localization vs. Mott-Hubbard metal-insulator transition in disordered, interacting lattice fermion systems
• Hidden Fermi Liquid: The Secret of High Tc Cuprates
• A spin-freezing perspective on cuprates
• The Hall effect in Zn-doped YBa_{2}Cu_{3}O_{7-δ} revisited: Hall angle and the pseudogap
• Hall effect in heavy-fermion metals
• Influence of disorder on incoherent transport near the Mott transition
• Separation of transport lifetimes in SrTiO3-based two-dimensional electron liquids
• A multi-orbital iterated perturbation theory for model Hamiltonians and real material-specific calculations of correlated systems
• Magnetotransport in the doped Mott insulator
• Metal-Insulator-Transition in a Weakly interacting Disordered Electron System
• Competition between disorder and Coulomb interaction in a two-dimensional plaquette Hubbard model
• Magnetotransport properties of BaRuO${}_3$: Observation of two scattering rates
• Asymptotically exact solution of the multi-channel resonant-level model
• Transport and Spectra in the Half-filled Hubbard Model: A Dynamical Mean Field Study
• Charge Order in the Falicov-Kimball Model
• Mott transitions in three-component Falicov-Kimball model
• Mott transitions in a three-component Falicov-Kimball model: A slave boson mean-field study

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