Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model
arXiv:0905.0598 · doi:10.1103/PhysRevB.80.201102
Abstract
The dynamic spin structure factor of a system of spin-1/2 bosons is investigated at arbitrary strength of interparticle repulsion. As a function of it is shown to exhibit a power-law singularity at the threshold frequency defined by the energy of a magnon at given The power-law exponent is found exactly using a combination of the Bethe Ansatz solution and an effective field theory approach.
4 pages, 2 figures
References in corpus (14)
- Universal theory of nonlinear Luttinger liquids
- Dynamic response of one-dimensional interacting fermions
- Spin dynamics in a one-dimensional ferromagnetic Bose gas
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Exact edge singularities and dynamical correlations in spin-1/2 chains
- 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
- Spin waves in a one-dimensional spinor Bose gas
- Green's function for magnetically incoherent interacting electrons in one dimension
- Threshold singularities in the dynamic response of gapless integrable models
- Dynamic structure factor of the Calogero-Sutherland model
- Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
- Spin-charge separation in a strongly correlated spin-polarized chain
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