Universal corrections to the Fermi-liquid theory

Abstract

We show that the singularities in the dynamical bosonic response functions of a generic 2D Fermi liquid give rise to universal, non-analytic corrections to the Fermi-liquid theory. These corrections yield a $T^2$ term in the specific heat, $T$ terms in the effective mass and the uniform spin susceptibility ${\chi }_s(Q=0,T)$, and $|Q|$ term in ${\chi }_s(Q,T=0)$. The existence of these terms has been the subject of recent controversy, which is resolved in this paper. We present exact expressions for all non-analytic terms to second order in a generic interaction $U(q)$ and show that only U(0) and $U(2p_F)$ matter.

references added, a typo corrected

References in corpus (13)

• Renormalization Group Approach to Interacting Fermions
• Metallic behavior and related phenomena in two dimensions
• Charged impurity scattering limited low temperature resistivity of low density silicon inversion layers
• Nonanalytic behavior of the spin susceptibility in clean Fermi systems
• Renormalization Group Approach to Low Temperature Properties of a Non-Fermi Liquid Metal
• Interaction corrections at intermediate temperatures: magneto-resistance in parallel field
• Multidimensional Bosonization
• Non-Analytic Contributions to the Self-Energy and the Thermodynamics of Two-Dimensional Fermi Liquids
• Nature of the Quantum Phase Transition in Clean, Itinerant Heisenberg Ferromagnets
• The First Temperature Corrections to the Fermi Liquid Fixed Point in Two Dimensions
• Leading Temperature Corrections to Fermi Liquid Theory in Two Dimensions
• The Fermi Liquid as a Renormalization Group Fixed Point: the Role of Interference in the Landau Channel
• Electronic susceptibilities in systems with anisotropic Fermi surfaces

Cited by in corpus (34)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Tricritical behavior in itinerant quantum ferromagnets
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• Fermi liquid near Pomeranchuk quantum criticality
• Interaction corrections to the thermal transport coefficients in disordered metals: quantum kinetic equation approach
• Singular perturbation theory for interacting fermions in two dimensions
• Interaction effects on magnetooscillations in a two-dimensional 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
• Spin susceptibility of interacting two-dimensional electrons in the presence of spin-orbit coupling
• Non-analytic spin susceptibility of a nested Fermi liquid: the case of Fe-based pnictides
• 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
• Self-generated locality near a ferromagnetic quantum-critical point
• Interacting fermions in two dimensions: beyond the perturbation theory
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• Effective Soft-Mode Theory of Strongly Interacting Fermions
• Temperature dependent spin susceptibility in a two-dimensional metal
• Electron-electron scattering and magnetoresistance of ballistic microcontacts
• Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems
• Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
• Smearing of the 2D Kohn anomaly in a nonquantizing magnetic field: Implications for the interaction effects
• Know the enemy: 2D Fermi liquids
• Controlling competing orders via non-equilibrium acoustic phonons: emergence of anisotropic electronic temperature
• Instability of the ferromagnetic quantum critical point in strongly interacting 2D and 3D electron gases with arbitrary spin-orbit splitting
• Magneto-oscillations due to electron-electron interactions in the ac conductivity of a 2D electron gas
• The two-dimensional electron self-energy: Long-range Coulomb interaction
• Interaction effects in 2D electron gas in a random magnetic field: Implications for composite fermions and quantum critical point
• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• Universal superdiffusive modes in charged two dimensional liquids
• The non-analytic momentum dependence of spin susceptibility of Heisenberg magnets in paramagnetic phase and its effect on critical exponents
• Collective mode description for a clean Fermi gas with repulsion in arbitrary dimensions: interaction of spin excitations and its consequences
• Anomalous quasiparticle lifetime in geometric quantum critical metals