Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons

Abstract

Systematic deviations from standard Fermi-liquid behavior have been widely observed and documented in several classes of strongly correlated metals. For many of these systems, mounting evidence is emerging that the anomalous behavior is most likely triggered by the interplay of quenched disorder and strong electronic correlations. In this review, we present a broad overview of such disorder-driven non-Fermi-liquid behavior, and discuss various examples where the anomalies have been studied in detail. We describe both their phenomenological aspects as observed in experiment, and the current theoretical scenarios that attempt to unravel their microscopic origin.

Final version, as published in the Reports on Progress in Physics

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• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
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• Dicke Quantum Spin and Photon Glass in Optical Cavities: Non-equilibrium theory and experimental signatures
• Quantum phase transitions in heavy fermion metals and Kondo insulators
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• Supermetal
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• Extended Hubbard model: Charge Ordering and Wigner-Mott transition
• Non-Fermi-Liquid Behavior in Metallic Quasicrystals with Local Magnetic Moments
• Electronic Griffiths phase of the d=2 Mott transition
• Disorder-driven metal-insulator transitions in deformable lattices
• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
• Review of Spin Orbit Coupled Semimetal SrIrO3 in thin film form
• Novel metal-insulator-transition at the SrTiO3/SmTiO3 interface
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation
• Low temperature solution of the Sherrington-Kirkpatrick model
• Phase transition in Pr0.5Ca0.5CoO3 and related cobaltites
• Evidence of discrete energy states and cluster-glass behavior in Sr${}_{2-x}$La${}_x$CoNbO${}_6$
• Topological phase transitions driven by magnetic phase transitions in FexBi2Te3 (0 < x < 0.1) single crystals
• Nonexponential Relaxations in a Two-Dimensional Electron System in Silicon
• Non Fermi liquid behavior and continuously tunable resistivity exponents in the Anderson-Hubbard model at finite temperature
• Disorder-quenched Kondo effect in mesosocopic electronic systems
• Entropy, frustration and large thermopower of doped Mott insulators on the fcc lattice
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Kondo-Anderson Transitions
• Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals
• Influence of disorder on incoherent transport near the Mott transition
• Self-energy-functional theory for systems of interacting electrons with disorder
• Critical Metal Phase at the Anderson Metal-Insulator Transition with Kondo Impurities
• Nonequilibrium Relaxations and Aging Effects in a Two-Dimensional Coulomb Glass
• Photo-induced nonequilibrium states in Mott insulators
• Cesium-involved electron transfer and electron-electron interaction in high-pressure metallic CsPbI3
• The geometrically-averaged density of states as a measure of localization
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• Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
• Theory of Scanning Tunneling Spectroscopy: from Kondo Impurities to Heavy Fermion Materials
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• Two types of superconducting domes in unconventional superconductors
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• Universal Distribution of Kondo Temperatures in Dirty Metals
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• Typical-Medium Theory of Mott-Anderson Localization
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• Dilute magnetic topological semiconductors: What's new beyond the physics of dilute magnetic semiconductors?
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• A van Hemmen-Kondo model for disordered strongly correlated electron systems
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• RKKY interactions in the regime of strong localization
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• Electronic Griffiths Phase in the Te - Doped Semiconductor FeSb${}_2$
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• Frustration effects at finite temperature in the half filled Hubbard model
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• Quantum criticality in layered CeRhIn_{5-x}Sn_x compared with cubic CeIn$_{3-x}Sn_x
• Thermodynamic analysis of the Quantum Critical behavior of Ce-lattice compounds
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• Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
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