Metallic Non-Fermi Liquid Phases of an Extended Hubbard Model in Infinite Dimensions

Abstract

We study an extended Hubbard model in the limit of infinite dimensions and its zero dimensional counterpart, a generalized asymmetric Anderson model. In the impurity model we find three kinds of mixed valence states: a) the usual strong coupling state in which a resonance forms at the Fermi level; b) a weak coupling state in which neither the impurity spin nor the impurity charge degrees of freedom is quenched; and c) an intermediate coupling state where the spin but not the charge degree of freedom is quenched. The corresponding phases of the extended Hubbard model in infinite dimensions are a) a Fermi liquid; b) a non-Fermi liquid state with incoherent charge and spin excitations; and c) a non-Fermi liquid state with incoherent charge but coherent spin excitations. The non-Fermi liquid phases are incoherent metallic states with vanishing quasiparticle residue, self-similar local correlation functions, and asymptotically decoupled charge and spin excitations. The non-Fermi liquid phases occur for a wide range of parameters.

56 pages, REVTEX

Cited by in corpus (31)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases
• Kondo disorder: a possible route towards non-Fermi liquid behavior
• Kondo resonances and anomalous gate dependence of electronic conduction in single-molecule transistors
• Correlation Induced Insulator to Metal Transitions
• Non-local Coulomb interactions and metal-insulator transition in Ti${}_2$O${}_3$: a cluster LDA+DMFT approach
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
• Toulouse Points and Non-Fermi Liquid States in the Mixed Valence Regime of the Generalized Anderson Model
• Population switching and charge sensing in quantum dots: A case for a quantum phase transition
• Dissipation-induced quantum phase transition in a quantum box
• Interacting resonant level coupled to a Luttinger liquid: Universality of thermodynamic properties
• Electronic band structure of optimal superconductors: from cuprates to ferropnictides and back again
• Effect of conduction electron interactions on Anderson impurities
• Deconfined critical point in a doped random quantum Heisenberg magnet
• Interacting resonant level coupled to a Luttinger liquid: Population vs. density of states
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Asymptotically exact solution of a local copper-oxide model
• Renormalization-group study of a magnetic impurity in a Luttinger liquid
• Non Fermi Liquid Dynamics of the Two-Channel Kondo Lattice
• Quantum Chemistry, Anomalous Dimensions, and the Breakdown of Fermi Liquid Theory in Strongly Correlated Systems
• Anomalous density fluctuations in a random $t$-$J$ model
• Density of states of a dissipative quantum dot coupled to a quantum wire
• Non-Fermi Liquids in the Extended Hubbard Model
• Quantum Criticality Enabled by Intertwined Degrees of Freedom
• Frustration shapes multi-channel Kondo physics: a star graph perspective
• Mixed-valence state in the dilute-impurity regime of La-substituted SmB${}_6$
• Universality class of non-Fermi liquid behavior in mixed valence systems
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Kondo frustration via charge fluctuations: a route to Mott localisation