Universal dielectric response across a continuous metal-insulator transition

Abstract

A wide range of disordered materials, including disordered correlated systems, show "Universal Dielectric Response" (UDR), followed by a superlinear power-law increase in their optical responses over exceptionally broad frequency regimes. While extensively used in various contexts over the years, the microscopics underpinning UDR remains controversial. Here, we investigate the optical response of the simplest model of correlated fermions, Falicov-Kimball model (FKM), across the continuous metal-insulator transition (MIT) and analyze the associated quantum criticality in detail using cluster extension of dynamical mean field theory (CDMFT). Surprisingly, we find that UDR naturally emerges in the quantum critical region associated with the continuous MIT. We tie the emergence of these novel features to a many-body orthogonality catastrophe accompanying the onset of strongly correlated electronic glassy dynamics close to the MIT, providing a microscopic realization of Jonscher's time-honored proposal as well as a rationale for similarities in optical responses between correlated electronic matter and canonical glass formers.

arXiv comment9 pages, 6 figures

References in corpus (19)

• Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Scaling theory of two-dimensional metal-insulator transitions
• The response of disordered matter to electromagnetic fields
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Systematic and Causal Corrections to the Coherent Potential Approximation
• Quantum Critical Transport Near the Mott Transition
• Theory of Insulator Metal Transition and Colossal Magnetoresistance in Doped Manganites
• Optical properties of correlated materials -- Generalized Peierls approach and its application to VO2
• Melting of the Electron Glass
• The "Strange Metal" is a Projected Fermi Liquid with Edge Singularities
• Optical Conductivity of the t-J model within Cluster Dynamical Mean Field Theory
• Anderson Orthogonality Catastrophe in Disordered Systems
• Electrodynamics of quantum spin liquids
• Quantum critical transport at a continuous metal-insulator transition
• Real-space cluster dynamical mean-field approach to the Falicov-Kimball model: An alloy-analogy approach
• Quantum critical magneto-transport at a continuous metal-insulator transition
• Thermal transport across a continuous metal-insulator transition

Cited by in corpus (4)

• Interpretable and unsupervised phase classification
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Unsupervised Machine Learning Phase Classification for Falicov-Kimball Model