Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
arXiv:1009.4708 · doi:10.1103/PhysRevB.82.245104
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
References in corpus (20)
- Using photoemission spectroscopy to probe a strongly interacting Fermi gas
- Spin-charge separation and localization in one-dimension
- Universal theory of nonlinear Luttinger liquids
- Probing spin-charge separation in a Tomonaga-Luttinger liquid
- Spectral functions in one-dimensional quantum systems at T>0
- Dynamic response of one-dimensional interacting fermions
- The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
- Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Spectral function of spinless fermions on a one-dimensional lattice
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Coulomb drag by small momentum transfer between quantum wires
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Threshold singularities in the dynamic response of gapless integrable models
- Asymmetric Zero-Bias Anomaly for Strongly Interacting Electrons in One Dimension
- Bosonization of strongly interacting electrons
- Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
- Dynamical Functions of a 1D Correlated Quantum Liquid