Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions

Abstract

We evaluate the spectral function of interacting fermions in one dimension. Contrary to the Tomonaga-Luttinger model, our treatment accounts for the nonlinearity of the free fermion spectrum. In a striking departure from the Luttinger liquid theory, the spectrum nonlinearity restores the main feature of the Fermi liquid: a Lorentzian peak in the spectral function on the particle mass-shell. At the same time, the spectral function displays a power-law singularity on the hole mass-shell, similar to that in the Luttinger liquid.

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• Many-body dispersions in interacting ballistic quantum wires
• Exact calculation of the ground state single-particle Green's function for the $1/r^2$ quantum many body system at integer coupling

Cited by in corpus (115)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Universal theory of nonlinear Luttinger liquids
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• An introduction to integrable techniques for one-dimensional quantum systems
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Spectral function of spinless fermions on a one-dimensional lattice
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Nuclear magnetism and electron order in interacting one-dimensional conductors
• Bosonization of one dimensional fermions out of equilibrium
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• Non-equilibrium Tunneling Spectroscopy in Carbon Nanotubes
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Momentum relaxation of a mobile impurity in a one-dimensional quantum gas
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
• Threshold Singularities in the One Dimensional Hubbard Model
• Energy relaxation and thermalization of hot electrons in quantum wires
• Threshold singularities in the dynamic response of gapless integrable models
• The fate of 1D spin-charge separation away from Fermi points
• Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas
• Properties of CFTs dual to Charged BTZ black-hole
• Dynamics of waves in 1D electron systems: Density oscillations driven by population inversion
• Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
• Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model
• Scattering of hole excitations in a one-dimensional spinless quantum liquid
• Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains
• Wigner molecules in carbon-nanotube quantum dots
• Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
• Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
• Decay of fermionic quasiparticles in one-dimensional quantum liquids
• Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
• Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
• Nonequilibrium electron spectroscopy of Luttinger liquids
• Quantum Boltzmann equation for a mobile impurity in a degenerate Tonks-Girardeau gas
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
• Coulomb drag between ballistic quantum wires
• Relaxation in Luttinger liquids: Bose-Fermi duality
• Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature
• Transport in partially equilibrated inhomogeneous quantum wires
• The spectral function of the Tomonaga-Luttinger model revisited: power laws and universality
• Real-time dynamics in the one-dimensional Hubbard model
• Dissipationless kinetics of one dimensional interacting fermions
• Cold bosons in the Landauer setup
• Low temperature dynamics of nonlinear Luttinger liquids
• Decay of Bogoliubov excitations in one-dimensional Bose gases
• Relaxation of weakly interacting electrons in one dimension
• Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• A renormalization group analysis of the one-dimensional extended Hubbard model
• Decay of Bogoliubov quasiparticles in a nonideal one-dimensional Bose gas
• Effective model for electronic properties of the quasi one-dimensional purple bronze Li0.9Mo6O17 based on ab-initio calculations
• Long time correlations of nonlinear Luttinger liquids
• The classical hydrodynamics of the Calogero-Sutherland model
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Interaction-induced corrections to conductance and thermopower in quantum wires
• Nature of the many-body excitations in a quantum wire: theory and experiment
• Dynamic properties of quantum spin chains: Simple route to complex behavior
• Gold-induced nanowires on the Ge(100) surface yield a 2D, and not a 1D electronic structure
• Kinetic Theory for Interacting Luttinger Liquids
• One-Dimensional Fermions with neither Luttinger-Liquid nor Fermi-Liquid Behavior
• Exact spectral function of a Tonks-Girardeau gas in a lattice
• Thermal Transport in One Dimensional Electronic Fluid
• Spectral edge mode in interacting one-dimensional systems
• Thermal conductivity of the degenerate one-dimensional Fermi gas
• Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Fate of classical solitons in one-dimensional quantum systems
• On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
• Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods
• Equilibration in a chiral Luttinger liquid
• Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?
• Spectral properties of one-dimensional spiral spin density wave states
• Spectral Properties of Interacting One-Dimensional Spinless Fermions
• Equilibration of a one-dimensional quantum liquid
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Electron-Plasmon scattering in chiral 1D systems with nonlinear dispersion
• Spin resonance in Luttinger liquid with spin-orbit interaction
• Pulse propagation in interacting one dimensional Bose liquid
• Spin Resonance and dc Current Generation in a Quantum Wire
• The fate of quantum shock waves at late times
• Solitons in a one-dimensional Wigner crystal
• Propagation and attenuation of sound in one-dimensional quantum liquids
• Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Form factors and correlation functions of an interacting spinless fermion model
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• A quantum phase transition detected through one dimensional ballistic conductance
• Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity
• Luttinger parameters of interacting fermions in 1D at high energies
• Viscosity of a Multi-channel One-Dimensional Fermi Gas
• Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids
• Kinetic processes in Fermi-Luttinger liquids
• Spectral function of chiral one-dimensional Fermi liquid in the regime of strong interactions
• Long lifetimes of ultra-hot particles in interacting Fermi systems
• Fermionic probes of local quantum criticality in one dimension
• Quasiparticle energy relaxation in a gas of one-dimensional fermions with Coulomb interaction
• Nonlinear effects on charge fractionalization in critical chains
• Decay of the Kohn mode in hydrodynamic regime
• Universal quasi-Fermi liquid physics of one-dimensional interacting fermions
• Refermionized theory of the edge modes of a fractional quantum Hall cloud
• Quasi-Fermi liquid behavior in a one-dimensional system of interacting spinless fermions
• Nonlinear edge transport in a quantum Hall system
• Effects of decoherence on the shot noise in carbon nanotubes
• Viscous dissipation in a gas of one-dimensional fermions with generic dispersion
• Renormalization Group Study of a Fragile Fermi liquid in $1+\epsilon$ dimensions
• Investigating the roots of the nonlinear Luttinger liquid phenomenology
• Thermalization of dipole oscillations in confined systems by rare collisions