Dynamic structure factor of the Calogero-Sutherland model
Mesoscale and Nanoscale Physics
2007-05-23 v2 Strongly Correlated Electrons
Abstract
We evaluate the dynamic structure factor of a one-dimensional quantum Hamiltonian with the inverse-square interaction (Calogero-Sutherland model). For a fixed small , the structure factor differs from zero in a finite interval of frequencies of the width . At the borders of this interval exhibits power-law singularities with exponents depending only on the interaction strength. The singularities are similar in origin to the well-known Fermi-edge singularity in the X-ray absorption spectra of metals.
Keywords
Cite
@article{arxiv.cond-mat/0603703,
title = {Dynamic structure factor of the Calogero-Sutherland model},
author = {M. Pustilnik},
journal= {arXiv preprint arXiv:cond-mat/0603703},
year = {2007}
}