Luttinger parameters of interacting fermions in 1D at high energies
arXiv:1307.0760 · doi:10.1103/PhysRevB.88.115142
Abstract
Interactions between electrons in one-dimension are fully described at low energies by only a few parameters of the Tomonaga-Luttinger model which is based on linearisation of the spectrum. We consider a model of spinless fermions with a short range interaction via the Bethe-Ansatz technique and show that a Luttinger parameter emerges in an observable beyond the low energy limit. A distinct feature of the spectral function, the edge that marks the lowest possible excitation energy for a given momentum, is parabolic for arbitrary momenta and the prefactor is a function of the Luttinger parameter, K.
7 pages, 4 figures
References in corpus (10)
- Using photoemission spectroscopy to probe a strongly interacting Fermi gas
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Probing spin-charge separation in a Tomonaga-Luttinger liquid
- Dynamic response of one-dimensional interacting fermions
- The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- Spectral function of spinless fermions on a one-dimensional lattice
- Observing complex bound states in the spin-1/2 Heisenberg XXZ chain using local quantum quenches
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas