Threshold singularities in the dynamic response of gapless integrable models

Abstract

We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrability to recast the original problem in terms of the low-energy properties of a certain deformed Hamiltonian. The deformed Hamiltonian is local, hence it can be analysed using the conventional field theory methods. We apply the technique to spinless fermions on a lattice with nearest-neighbors repulsion, and evaluate the exponent characterizing the threshold singularity in the dynamic structure factor.

References in corpus (1)

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

Cited by in corpus (6)

• Universal theory of nonlinear Luttinger liquids
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Successes and failures of Bethe Ansatz Density Functional Theory
• Dynamic structure factor of Luttinger liquids with quadratic energy dispersion and long-range interactions