Quantum Chemistry, Anomalous Dimensions, and the Breakdown of Fermi Liquid Theory in Strongly Correlated Systems

Abstract

We formulate a local picture of strongly correlated systems as a Feynman sum over atomic configurations. The hopping amplitudes between these atomic configurations are identified as the renormalization group charges, which describe the local physics at different energy scales. For a metallic system away from half-filling, the fixed point local Hamiltonian is a generalized Anderson impurity model in the mixed valence regime. There are three types of fixed points: a coherent Fermi liquid (FL) and two classes of self-similar (scale invariant) phases which we denote incoherent metallic states (IMS). When the transitions between the atomic configurations proceed coherently at low energies, the system is a Fermi liquid. Incoherent transitions between the low energy atomic configurations characterize the incoherent metallic states. The initial conditions for the renormalization group flow are determined by the physics at rather high energy scales. This is the domain of local quantum chemistry. We use simple quantum chemistry estimates to specify the basin of attraction of the IMS fixed points.

12 pages, REVTEX

References in corpus (1)

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

Cited by in corpus (6)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Correlation Induced Insulator to Metal Transitions
• Toulouse Points and Non-Fermi Liquid States in the Mixed Valence Regime of the Generalized Anderson Model
• Non-Fermi Liquids in the Extended Hubbard Model
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Kondo frustration via charge fluctuations: a route to Mott localisation