Mean field theory of the Mott-Anderson transition

Abstract

We present a theory for disordered interacting electrons that can describe both the Mott and the Anderson transition in the respective limits of zero disorder and zero interaction. We use it to investigate the T=0 Mott-Anderson transition at a fixed electron density, as a the disorder strength is increased. Surprisingly, we find two critical values of disorder W_{nfl} and W_c. For W > W_{nfl}, the system enters a ``Griffiths'' phase, displaying metallic non-Fermi liquid behavior. At even stronger disorder, W=W_c > W_{nfl} the system undergoes a metal insulator transition, characterized by the linear vanishing of both the typical density of states and the typical quasiparticle weight.

4 pages, 2 figures, REVTEX, epsf

References in corpus (1)

• Disorder-driven non-Fermi liquid behavior in Kondo alloys

Cited by in corpus (128)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• The Kernel Polynomial Method
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Mott--Hubbard transition vs. Anderson localization of correlated, disordered electrons
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects
• Metal insulator transitions in perovskite SrIrO3 thin films
• Dynamical mean-field theory from a quantum chemical perspective
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field
• Melting of the Electron Glass
• Disorder effects in electronic structure of substituted transition metal compounds
• Critical behavior at Mott-Anderson transition: a TMT-DMFT perspective
• Kondo proximity effect: How does a metal penetrate into a Mott insulator?
• Approaching finite-temperature phase diagrams of strongly correlated materials: a case study for V2O3
• Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions
• Disorder Screening in Strongly Correlated Systems
• Emergent Novel Metallic State in a Disordered 2D Mott Insulator
• Localization-induced Griffiths phase of disordered Anderson lattices
• Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
• Glassy behavior of electrons near metal-insulator transitions
• Generalized dynamical mean-field theory in physics of strongly correlated systems
• Absence of conventional quantum phase transitions in itinerant systems with disorder
• Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model
• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
• Ferromagnetism and Metal-Insulator Transition in the Disordered Hubbard Model
• Single-particle excitations under coexisting electron correlation and disorder: a numerical study of the Anderson-Hubbard model
• Soft Hubbard gaps in disordered itinerant models with short-range interaction
• Disorder-driven metal-insulator transitions in deformable lattices
• Electronic Griffiths phase of the d=2 Mott transition
• Dynamical mean-field studies of metal-insulator transitions
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation
• A possible new phase of commensurate insulators with disorder: the Mott Glass
• Metal--Insulator Transitions in the Falicov--Kimball Model with Disorder
• Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder
• Gutzwiller-correlated wave functions for degenerate bands: exact results in infinite dimensions
• Disorder induced power-law gaps in an insulator-metal Mott transition
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Entropy, frustration and large thermopower of doped Mott insulators on the fcc lattice
• Unusual localisation effects in quantum percolation
• Influence of disorder on incoherent transport near the Mott transition
• Self-energy-functional theory for systems of interacting electrons with disorder
• Effects of disorder on the non-zero temperature Mott Transition
• Statistical dynamical mean-field description of strongly correlated disordered electron-phonon systems
• Anderson localization of polaron states
• Termination of typical wavefunction multifractal spectra at the Anderson metal-insulator transition: Field theory description using the functional renormalization group
• Scaling behavior of an Anderson impurity close to the Mott-Anderson transition
• Microscopic Theory of Resistive Switching in Ordered Insulators: Electronic vs. Thermal Mechanism
• Photo-induced nonequilibrium states in Mott insulators
• Observation of non-Fermi liquid behavior in hole doped Eu2Ir2O7
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Ground-state properties of the disordered Hubbard model in two dimensions
• The geometrically-averaged density of states as a measure of localization
• Localization effects and inelastic scattering in disordered heavy electrons
• Effects of substrate temperature on the unusual non-Fermi liquid metal to insulator transition in perovskite SrIrO3 thin films
• Dynamical mean-field theory of indirect magnetic exchange
• Universal quantum criticality at the Mott-Anderson transition
• Effective model of the electronic Griffiths phase
• Machine learning electron correlation in a disordered medium
• Metallic ground state and glassy transport in single crystalline URh${}_2$Ge${}_2$: Enhancement of disorder effects in a strongly correlated electron system
• Quantum ripples in strongly correlated metals
• Universal Distribution of Kondo Temperatures in Dirty Metals
• Mott-Hubbard Transition and Anderson Localization: Generalized Dynamical Mean-Field Theory Approach
• Correlated electrons in the presence of disorder
• Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
• Temperature dependent transport of correlated disordered electrons: elastic vs. inelastic scattering
• The two-dimensional disordered Mott metal-insulator transition
• Dynamical Mean-Field Theory
• Localization of correlated fermions in optical lattices with speckle disorder
• Dielectric catastrophe at the magnetic field induced insulator to metal transition in Pr1-xCaxMnO3 (x=0.30, 0.37) crystals
• Typical-Medium Theory of Mott-Anderson Localization
• Effects of Disorder on the Pressure-Induced Mott Transition in $\kappa$-BEDT-TTF)${}_2$Cu[N(CN)${}_2$]Cl
• Competition between disorder and Coulomb interaction in a two-dimensional plaquette Hubbard model
• Local moments and magnetic order in the two-dimensional Anderson-Mott transition
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• Defects, disorder and strong electron correlations in orbital degenerate, doped Mott insulators
• Dynamical Mean-Field Theory of Strongly Correlated Electron Systems
• From immunity to sudden death: Effects of strong disorder in strongly correlated superconductors
• A toy model for anomalous transport and Griffiths effects near the Many-Body Localization transition
• Ingredients for Generalized Models of $\kappa$-Phase Organic Charge-Transfer Salts: A Review
• Mott-Anderson transition in disordered charge transfer model: insights from typical medium theory
• Machine learning predictions for local electronic properties of disordered correlated electron systems
• Comparative numerical study of Anderson localization in disordered electron systems
• Two-dimensional Anderson-Hubbard model in DMFT+Sigma approximation
• Electronic Griffiths Phase in the Te - Doped Semiconductor FeSb${}_2$
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Valence fluctuations in a lattice of magnetic molecules: application to iron(II) phtalocyanine molecules on Au(111)
• Comment on "Anderson transition in disordered graphene"
• Sign problem in the Bethe approximation
• Dynamical mean-field approach to disordered interacting systems and applications to quantum transport problem
• Charge redistribution in correlated heterostuctures within nonequilibrium real-space dynamical mean-field theory
• Transport of Correlated Electrons through Disordered Chains: A Perspective on Entanglement, Conductance, and Disorder Averaging
• Real-space dynamical mean-field theory of Friedel oscillations in strongly correlated electron systems
• Emergence of non-Fermi liquid dynamics through non-local correlations in an interacting disordered system
• Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
• Energy-resolved spatial inhomogeneity of disordered Mott systems
• Griffiths phase of the Kondo insulator fixed point
• Quantum criticality at the Anderson transition: a TMT perspective
• Localization effects in disordered Kondo lattices
• Flatband localization in the Anderson-Falicov-Kimball model
• Emergence of non-Fermi liquid behaviors in 5d perovskite SrIrO3 thin films: interplay between correlation, disorder, and spin-orbit coupling
• Magnetic spin excitations in Mn doped GaAs : A model study
• Resonance Effects in Correlated Multilayer Heterostructures
• Hölder mean applied to Anderson localization
• Reconsidering the possibility of room temperature ferromagnetism in Mn doped Zirconium oxide
• Doped magnetic moments in a disordered electron system: insulator-metal transition, spin glass and `cmr'
• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Unusually thick metal-insulator domain walls around the Mott point
• Spin-selective localization of correlated lattice fermions
• Anderson localization versus charge-density-wave formation in disordered electron systems
• Non-local corrections to the typical medium theory of Anderson localization
• Anderson localization on the Falicov-Kimball model with Coulomb disorder
• Electronic and magnetic properties of metallic phases under coexisting short-range interaction and diagonal disorder
• Anderson localization on Falicov-Kimball model with next-nearest-neighbor hopping and long-range correlated disorder
• T-matrix formulation of real-space dynamical mean-field theory and the Friedel sum rule for correlated lattice fermions
• Breakdown of coherence in Kondo alloys: crucial role of concentration vs band filling
• Mott--Hubbard and Anderson Transitions in Dynamical Mean--Field Theory
• An equation of state for expanded metals
• Diffusion and localization in quantum random resistor networks
• Electron transport in the Anderson model
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Self-energy functional theory with symmetry breaking for disordered lattice bosons
• Kinetics of thermal Mott transitions in the Hubbard model
• Effects of forward disorder on quasi-1D superconductors
• Numerical methods for localization
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
• Persistence of energy-dependent localization in the Anderson-Hubbard model with increasing system size and doping
• Electronic correlations and Fermi liquid behavior of intermediate-band states in titanium-doped silicon