Leading Temperature Corrections to Fermi Liquid Theory in Two Dimensions

Abstract

We calculate the basic parameters of the Fermi Liquid: the scattering vertex, the Landau interaction function, the effective mass, and physical susceptibilities for a model of two-dimensional (2D) fermions with a short ranged interaction at non-zero temperature. The leading temperature dependences of the spin components of the scattering vertex, the Landau function, and the spin susceptibility are found to be linear. T-linear terms in the effective mass and in the ``charge-sector''- quantities are found to cancel to second order in the interaction, but the cancellation is argued not to be generic. The connection with previous studies of the 2D Fermi-Liquid parameters is discussed.

4 pages, 1 figure

Cited by in corpus (34)

• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Metamagnetic Quantum Criticality
• Quantum-critical behavior of itinerant ferromagnets
• Non-analytic corrections to the Fermi-liquid behavior
• First order superconducting transition near a ferromagnetic quantum critical point
• Singular perturbation theory for interacting fermions in two dimensions
• Magnetic Ordering of Nuclear Spins in an Interacting 2D Electron Gas
• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Nonanalytic corrections to the specific heat of a three-dimensional Fermi liquid
• A two-dimensional Fermi liquid with attractive interactions
• Universal corrections to the Fermi-liquid theory
• The First Temperature Corrections to the Fermi Liquid Fixed Point in Two Dimensions
• Spin susceptibility of interacting two-dimensional electrons in the presence of spin-orbit coupling
• Thermodynamics of a Fermi liquid in a magnetic field
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Thermodynamics of a Fermi liquid beyond the low-energy limit
• Nonanalytic Magnetic Response of Fermi- and non-Fermi Liquids
• Self-generated locality near a ferromagnetic quantum-critical point
• Ferromagnetic order of nuclear spins coupled to conduction electrons: a combined effect of the electron-electron and spin-orbit interactions
• On the residual resistivity near a two dimensional metamagnetic quantum critical point
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• Magnetic fluctuations and specific heat in NaxCoO2 near a Lifshitz topological transition
• Temperature dependent spin susceptibility in a two-dimensional metal
• Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems
• Cooper channel and the singularities in the thermodynamics of a Fermi liquid
• Probing spin susceptibility of a correlated two-dimensional electron system by transport and magnetization measurements
• Smearing of the 2D Kohn anomaly in a nonquantizing magnetic field: Implications for the interaction effects
• Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel
• Specific heat of a one-dimensional interacting Fermi system: the role of anomalies
• Interaction Correction of Conductivity Near a Ferromagnetic Quantum Critical Point
• Low energy excitations and singular contributions in the thermodynamics of clean Fermi liquids
• Electronic susceptibilities in systems with anisotropic Fermi surfaces
• Whither Correlated Electron Theory?
• Nonanalytic Corrections to the Landau Diamagnetic Susceptibility