Form factors and correlation functions of an interacting spinless fermion model

Abstract

Introducing the fermionic R-operator and solutions of the inverse scattering problem for local fermion operators, we derive a multiple integral representation for zero-temperature correlation functions of a one-dimensional interacting spinless fermion model. Correlation functions particularly considered are the one-particle Green's function and the density-density correlation function both for any interaction strength and for arbitrary particle densities. In particular for the free fermion model, our formulae reproduce the known exact results. Form factors of local fermion operators are also calculated for a finite system.

18 pages, v2: typos corrected, published version

References in corpus (4)

• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Dynamical correlation functions of the XXZ model at finite temperature

Cited by in corpus (5)

• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Hierarchy of modes in an interacting system
• Nature of the many-body excitations in a quantum wire: theory and experiment
• Spectral Properties of Interacting One-Dimensional Spinless Fermions
• Correlation functions of an interacting spinless fermion model at finite temperature