Renormalization Group and Fermi Liquid Theory
arXiv:cond-mat/9410013 · doi:10.1080/00018739400101525
Abstract
We give a Hamiltonian based interpretation of microscopic Fermi liquid theory within a renormalization group framework. We identify the fixed point Hamiltonian of Fermi liquid theory, with the leading order corrections, and show that this Hamiltonian in mean field theory gives the Landau phenomenological theory. A renormalized perturbation theory is developed for calculations beyond the Fermi liquid regime. We also briefly discuss the breakdown of Fermi liquid theory as it occurs in the Luttinger model, and the infinite dimensional Hubbard model at the Mott transition.
37 pages, postscript, Imperial College preprint 1994. Latex file plus separate figures available on request
References in corpus (4)
Cited by in corpus (24)
- Functional renormalization group approach to correlated fermion systems
- Theory of Superconductivity in Strongly Correlated Electron Systems
- Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
- Theory of non-equilibrium transport in the SU(N) Kondo regime
- Renormalized perturbation calculations for the single impurity Anderson model
- Renormalization group analysis of electrons near a Van Hove singularity.
- Fermi-liquid theory for the single-impurity Anderson model
- Quasi-particle description for the transport through a small interacting system
- Transport through a finite Hubbard chain connected to reservoirs
- Kinematics of electrons near a Van Hove singularity
- Fermi liquid theory for SU(N) Kondo model
- At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model
- Instability of Anisotropic Fermi Surfaces in Two Dimensions
- The Fermi Liquid as a Renormalization Group Fixed Point: the Role of Interference in the Landau Channel
- Out-of-equilibrium Anderson model at high and low bias voltages
- Perturbation Theory on the Superconductivity of Heavy Fermion Superconductors CeIr_{x}Co_{1-x}In_5
- Detecting Kondo Entanglement by Electron Conductance
- Fermi Surface Symmetric Mass Generation
- Strong coupling resistivity in the Kondo model
- Low energy fixed points of the sigma-tau and the O(3) symmetric Anderson models
- Renormalization group approach to Fermi Liquid Theory
- Universal and non-universal renormalizations in Fermi liquids
- Frustration shapes multi-channel Kondo physics: a star graph perspective
- High-order terms in the renormalized perturbation theory for the Anderson impurity model