Dynamic structure factor of the Calogero-Sutherland model

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dc.creatorPustilnik, M.
dc.date2006-03-27
dc.date2006-07-14
dc.date.accessioned2026-07-07T07:04:58Z
dc.date.available2026-07-07T07:04:58Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/cond-mat/0603703
dc.identifierhttp://arxiv.org/abs/cond-mat/0603703
dc.identifierPhys. Rev. Lett. 97, 036404 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.036404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109521
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleDynamic structure factor of the Calogero-Sutherland model
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