Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory

Abstract

We develop a nonperturbative zero-temperature theory for the dynamic response functions of interacting one-dimensional spin-1/2 fermions. In contrast to the conventional Luttinger liquid theory, we take into account the nonlinearity of the fermion dispersion exactly. We calculate the power-law singularities of the spectral function and the charge and spin density structure factors for arbitrary momenta and interaction strengths. The exponents characterizing the singularities are functions of momenta and differ significantly from the predictions of the linear Luttinger liquid theory. We generalize the notion of the spin-charge separation to the nonlinear spectrum. This generalization leads to phenomenological relations between threshold exponents and the threshold energy.

25 pages, 11 figures

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• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• 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
• Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Quantum Shock Waves and Population Inversion in Collisions of Ultracold Atomic Clouds
• Charge dynamics in half-filled Hubbard chains with finite on-site interaction
• Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
• Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
• Real-time dynamics in the one-dimensional Hubbard model
• Nonlinear spectra of spinons and holons in short GaAs quantum wires
• Charge and energy fractionalization mechanism in one-dimensional channels
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• A renormalization group analysis of the one-dimensional extended Hubbard model
• Double light-cone dynamics establish thermal states in integrable 1D Bose gases
• Nature of the many-body excitations in a quantum wire: theory and experiment
• Observing separate spin and charge Fermi seas in a strongly correlated one-dimensional conductor
• Gold-induced nanowires on the Ge(100) surface yield a 2D, and not a 1D electronic structure
• Helical gaps in interacting Rashba wires at low electron densities
• 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
• Optical conductivity of the Hubbard chain away from half filling
• Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
• Entropy production in one-dimensional quantum fluids
• Spin resonance in Luttinger liquid with spin-orbit interaction
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange
• Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
• Structure factor of interacting one-dimensional helical systems
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Structural Evolution of 1D Spectral Function from Low- to High-Energy Limits
• Viscous Properties of a Degenerate One-Dimensional Fermi Gas
• Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Colossal quasiparticle radiation in the Lifshitz spin liquid phase of a two-dimensional quantum antiferromagnet
• Kinetic processes in Fermi-Luttinger liquids
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases
• Spinon and eta-spinon correlation functions
• Dynamical spin structure factor of one-dimensional interacting fermions
• Spin operator and spin states in Galilean covariant Fermi field theories
• Anomalous thermal broadening from an infrared catastrophe in two-dimensional quantum antiferromagnets
• Emerging one-dimensionality from self-organization of electrons in NbSe${}_3$
• Brownian scattering of a spinon in a Luttinger liquid
• One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction