Dynamic structure factor of the Calogero-Sutherland model

Details Dynamic structure factor of the Calogero-Sutherland model Dynamic structure factor of the Calogero-Sutherland model

2006-03-27

arxiv.org/abs/cond-mat/0603703v2

Phys. Rev. Lett. 97, 036404 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.97.036404

We evaluate the dynamic structure factor $S(q,\omega)$ of a one-dimensional quantum Hamiltonian with the inverse-square interaction (Calogero-Sutherland model). For a fixed small $q$, the structure factor differs from zero in a finite interval of frequencies of the width $\delta\omega\propto q^2/m$. At the borders of this interval $S(q,\omega)$ 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.

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