Non-Drude universal scaling laws for the optical response of local Fermi liquids

Abstract

We investigate the frequency and temperature dependence of the low-energy electron dynamics in a Landau Fermi liquid with a local self-energy. We show that the frequency and temperature dependencies of the optical conductivity obey universal scaling forms, for which explicit analytical expressions are obtained. For the optical conductivity and the associated memory function, we obtain a number of surprising features that differ qualitatively from the Drude model and are universal characteristics of a Fermi liquid. Different physical regimes of scaling are identified, with marked non-Drude features in the regime where hbar omega ~ kB T. These analytical results for the optical conductivity are compared to numerical calculations for the doped Hubbard model within dynamical mean-field theory. For the "universal" low-energy electrodynamics, we obtain perfect agreement between numerical calculations and analytical scaling laws. Both results show that the optical conductivity displays a non-Drude "foot", which could be easily mistaken as a signature of breakdown of the Fermi liquid, while it actually is a striking signature of its applicability. The aforementioned scaling laws provide a quantitative tool for the experimental identification and analysis of the Fermi-liquid state using optical spectroscopy, and a powerful method for the identification of alternative states of matter, when applicable.

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References in corpus (21)

• Continuous-time Monte Carlo methods for quantum impurity models
• The numerical renormalization group method for quantum impurity systems
• Electrodynamics of Correlated Electron Materials
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Transport properties of strongly correlated metals:a dynamical mean-field approach
• Electron-phonon interaction and charge carrier mass enhancement in SrTiO3
• Common Fermi-liquid origin of T-squared resistivity and superconductivity in n-type SrTiO3
• Transfer of Spectral Weight in Spectroscopies of Correlated Electron Systems
• Optical conductivity and the correlation strength of high temperature copper-oxide superconductors
• Bandwidth-controlled Mott transition in kappa-(BEDT-TTF)2Cu[N(CN)2]Br{x}Cl{1-x}: Optical studies of correlated carriers
• Heavy Carriers and Non-Drude Optical Conductivity in MnSi
• First-Matsubara-frequency rule in a Fermi liquid. Part II: Optical conductivity and comparison to experiment
• Optical and DC conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point, including vertex corrections
• Quasiparticles at the verge of localization near the Mott metal-insulator transition in a two-dimensional material
• First-Matsubara-frequency rule in a Fermi liquid. Part I: Fermionic self-energy
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• Optical conductivity of the infinite-dimensional Hubbard model
• Optical spectroscopy shows that the normal state of URu${}_2$Si${}_2$ is an anomalous Fermi liquid
• Optical conductivity in cluster dynamical mean field theory: formalism and application to high temperature superconductors
• Microscopic mechanisms for the Fermi-liquid behavior of Nb-doped strontium titanate
• Resistivity and optical conductivity of cuprates within the t-J model

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