Gauge-invariant response functions of fermions coupled to a gauge field

Abstract

We study a model of fermions interacting with a gauge field and calculate gauge-invariant two-particle Green's functions or response functions. The leading singular contributions from the self-energy correction are found to be cancelled by those from the vertex correction for small $q$ and $\Omega$. As a result, the remaining contributions are not singular enough to change the leading order results of the random phase approximation. It is also shown that the gauge field propagator is not renormalized up to two-loop order. We examine the resulting gauge-invariant two-particle Green's functions for small $q$ and $\Omega$, but for all ratios of $\Omega /v_{F}q$ and we conclude that they can be described by Fermi liquid forms without a diverging effective mass.

Plain Tex, 35 pages, 5 figures available upon request, Revised Version (Expanded discussion), To be published in Physical Review B 50, (1994) (December 15 issue)

References in corpus (7)

• Non-Fermi Liquid Fixed Point in 2+1 Dimensions
• Low Energy Dynamics of the Spinon-Gauge System
• Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States
• Non-Fermi Liquid Behavior In Quantum Critical Systems
• Gauge Interactions and Bosonized Fermion Liquids
• Instantons and the spectral function of electrons in the half-filled Landau level
• Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory

Cited by in corpus (159)

• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Are non-Fermi-liquids stable to Cooper pairing?
• Holographic quantum matter
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Theory of a continuous Mott transition in two dimensions
• Recent Developments in Non-Fermi Liquid Theory
• Theory of spin excitations in undoped and underdoped cuprates
• Quantum chaos on a critical Fermi surface
• Perturbative non-Fermi liquids from dimensional regularization
• Quantum phase transitions in holographic models of magnetism and superconductors
• The half-filled Landau level: the case for Dirac composite fermions
• Spin Bose-Metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Universal theory of strange metals from spatially random interactions
• A dipole interpretation of the $\nu =1/2$ state
• Large $N$ theory of critical Fermi surfaces
• Singularities in the Fermi liquid description of a partially filled Landau level and the energy gaps of fractional quantum Hall states
• D-wave correlated Critical Bose Liquids in two dimensions
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• Photoemission "experiments" on holographic superconductors
• Mott transition between a spin-liquid insulator and a metal in three dimensions
• Quantum Boltzmann equation of composite fermions interacting with a gauge field
• Holographic non-Fermi liquid fixed points
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Ultraviolet/infrared mixing in non-Fermi liquids
• First-Matsubara-frequency rule in a Fermi liquid. Part I: Fermionic self-energy
• Bosonization of interacting fermions in arbitrary dimension beyond the Gaussian approximation
• Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Optical response of correlated electron systems
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• Chiral non-Fermi Liquids
• Power-law Conductivity inside the Mott gap: application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level
• Theory of Fermion Liquids
• Multiscale quantum criticality: Pomeranchuk instability in isotropic metals
• Quantum-critical pairing with varying exponents
• Two dimensional non-Fermi liquid metals: a solvable large N limit
• Hyperscaling violation at the Ising-nematic quantum critical point in two dimensional metals
• A controlled expansion for certain non-Fermi liquid metals
• Spin-triplet pairing instability of the spinon Fermi surface in a U(1) spin liquid
• Metallic Ferromagnetism in the Kondo Lattice
• Spin-triplet superconductivity at the onset of isospin order in biased bilayer graphene
• Charge transport by holographic Fermi surfaces
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Violation of Wiedemann-Franz law at the Kondo breakdown quantum critical point
• Gifts from anomalies: Exact results for Landau phase transitions in metals
• Loop current fluctuations and quantum critical transport
• Superconductivity at the onset of spin-density-wave order in a metal
• Hyperscaling at the spin density wave quantum critical point in two dimensional metals
• Geometrical Approach to Bosonization of D>1 Dimensional (Non) Fermi Liquids
• Mechanisms of Decoherence at Low Temperatures
• Particle-hole symmetry and composite fermions in fractional quantum Hall states
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• Quantum-critical pairing in electron-doped cuprates
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
• Gauge-field fluctuations in 3D topological Mott insulators
• Gauge invariant response functions in Algebraic Fermi liquids
• Electric transport in three-dimensional Skyrmion/monopole crystal
• Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
• Anisotropic Non-Fermi Liquids
• Dynamical susceptibility near a long-wavelength critical point with a nonconserved order parameter
• Electron self-energy near a nematic quantum critical point
• Emergence of a control parameter for the antiferromagnetic quantum critical metal
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• SU(2)-invariant Majorana spin liquid with stable parton Fermi surfaces in an exactly solvable model
• Singular order parameter interaction at nematic quantum critical point in two dimensional electron systems
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Non-Fermi liquid at the FFLO quantum critical point
• Optical conductivity of a two-dimensional metal near a quantum-critical point: the status of the "extended Drude formula"
• Majorana Spin Liquids on a two-leg ladder
• Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions
• Anomalous dimensions of gauge-invariant amplitudes in massless effective gauge theories of strongly correlated systems
• Cyclotron resonance inside the Mott gap: a fingerprint of emergent neutral fermions
• Signatures of the nematic ordering transitions in the thermal conductivity of d-wave superconductors
• The universal shear conductivity of Fermi liquids and spinon Fermi surface states and its detection via spin qubit noise magnetometry
• Influence of gauge-field fluctuations on composite fermions near the half-filled state
• Spinon-Phonon Interaction in Algebraic Spin Liquids
• Power-Law Behavior of Bond Energy Correlators in a Kitaev-type Model with a Stable Parton Fermi Surface
• Collective spinon spin wave in a magnetized U(1) spin liquid
• Dimensional decoupling at continuous quantum critical Mott transitions
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Stable non-Fermi liquid phase of itinerant spin-orbit coupled ferromagnets
• Specific Heat of a Quantum Critical Metal
• Cyclotron resonance and quantum oscillations of critical Fermi surfaces
• Specific heat and validity of quasiparticle approximation in the half-filled Landau level
• Doping a Mott insulator with excitons in moiré bilayer: fractional superfluid, neutral Fermi surface and Mott transition
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Finite temperature scaling close to Ising-nematic quantum critical points in two-dimensional metals
• Elusive physical electron propagator in QED-like effective theories
• Non-Fermi-Liquid Behavior from Cavity Electromagnetic Vacuum Fluctuations at the Superradiant Transition
• Superconductivity out of a non-Fermi liquid. Free energy analysis
• Optical conductivity of a metal near an Ising-nematic quantum critical point
• Noncommutativity between the low-energy limit and integer dimension limits in the $\mathbf{\epsilon }$-expansion: a case study of the antiferromagnetic quantum critical metal
• Dynamical susceptibility of a Fermi liquid
• Upper critical field in the gauge model
• RKKY Interaction and Intrinsic Frustration in Non-Fermi Liquid Metals
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Susceptibility of a spinon Fermi surface coupled to a U(1) gauge field
• Fermi Surface Geometry and Optical Conductivity of a 2D Electron Gas near an Ising-Nematic Quantum Critical Point
• Nonperturbative Dyson-Schwinger equation approach to strongly interacting Dirac fermion systems
• Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED
• Two-point function of a $d=2$ quantum critical metal in the limit $k_F\to \infty$, $N_f\to 0$ with $N_f{k}_F$ fixed
• Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
• Failure of Gutzwiller-type wave function to capture gauge fluctuations: Case study in the Exciton Bose Liquid context
• Controlled expansion for transport in a class of non-Fermi liquids
• Non-Fermi liquid induced by Bose metal with protected subsystem symmetries
• Effect of gauge-field interaction on fermion transport in 2D: Hartree conductivity correction and dephasing
• Fluctuation Spectrum of Critical Fermi Surfaces
• Solvable Theory of a Strange Metal at the Breakdown of a Heavy Fermi Liquid
• Fluctuations and magnetoresistance oscillations near the half-filled Landau level
• The Physical Significance of Singularities in the Chern--Simons Fermi Liquid Description of a Partially Filled Landau Level
• Quantum liquids of particles with generalized statistics
• Linear-in-temperature conductance in two-dimensional electron fluids
• Self-duality of the integer quantum Hall to insulator transition: composite fermion description
• Space of non-Fermi liquids
• Quantum Boltzman equation study for the Kondo breakdown quantum critical point
• Bipartite Fluctuations of Critical Fermi Surfaces
• Emergent reflection symmetry from non-relativistic composite fermions
• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• Bandwidth-control vs. doping-control Mott transition in the Hubbard model
• Composite Fermion Nonlinear Sigma Models
• Quenched disorder at antiferromagnetic quantum critical points in $2d$ metals
• Drag resistance mediated by quantum spin liquids
• Linear-T Resistivity from Spatially Random Vector Coupling
• One-dimensional scattering of two-dimensional fermions near quantum criticality
• Fractionalized Fermi liquids and the cuprate phase diagram
• Overscreened Kondo fixed point in S=1 spin liquid
• Vertex corrections in gauge theories for two-dimensional condensed matter systems
• Fermi Surface Bosonization for Non-Fermi Liquids
• Quantum criticality and optical conductivity in a two-valley system
• Transport in a One-Dimensional Hyperconductor
• Towards a Fermi Liquid Theory of the $\nu$=1/2 State : Magnetized Composite Fermions
• Fermionization for charge degrees of freedom and bosonization of spin degrees of freedom in the SU(2) slave-boson theory
• Finite temperature properties of the gauge theory of nonrelativistic fermions
• Role of vertex corrections in the $T$-linear resistivity at the Kondo breakdown quantum critical point
• Singular Behaviour of Electrons and of Composite Fermions in a Finite Effective Field
• Emergent gauge fields and their nonperturbative effects in correlated electrons
• The half-filled Landau level - composite fermions and dipoles
• Current Algebra Approach to 2d Chiral Metals
• Effective mass of the composite fermions and energy gaps of quantum Hall states
• Role of generic scale invariance in a Mott transition from a U(1) spin-liquid insulator to a Landau Fermi-liquid metal
• Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points
• Strange metal at the Lifshitz transition
• Anomalous quasiparticle lifetime in geometric quantum critical metals
• Chern-Simons Field Theory of Two-Dimensional Electrons in the Lowest Landau Level
• Phonon Induced Energy Relaxation in Quantum Critical Metals
• Fate of a multiple-band Fermi liquid that is coupled with critical ${\varphi }^4$ bosons
• Near-field heat transfer and drag resistance in bilayers of composite fermions
• The fate of Kondo resonances in certain Kondo lattices: a ``poor woman's'' scaling analysis
• Gauge invariance of the beta-function in nonrelativistic quantum electrodynamics
• Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals
• Collective excitations and stability of a non-Fermi liquid state near a quantum-critical point of a metal