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Dynamic structure factor of the Calogero-Sutherland model

M. Pustilnik
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Abstract

We evaluate the dynamic structure factor $S(q,ω)$ 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 $δω\propto q^2/m$. At the borders of this interval $S(q,ω)$ 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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M. Pustilnik. 2006-07-14. Dynamic structure factor of the Calogero-Sutherland model. https://doi.org/10.1103/physrevlett.97.036404

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