Dynamic structure factor of the Calogero-Sutherland model

Abstract

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.

References in corpus (2)

• Dynamic response of one-dimensional interacting fermions
• Coulomb drag by small momentum transfer between quantum wires

Cited by in corpus (11)

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• Threshold singularities in the dynamic response of gapless integrable models
• Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
• Density-density propagator for one-dimensional interacting spinless fermions with non-linear dispersion and calculation of the Coulomb drag resistivity
• Dynamic structure factor of Luttinger liquids with quadratic energy dispersion and long-range interactions
• Modulation theory of quantum tunneling into a Calogero-Sutherland fluid
• Green's Function of Anyons in Calogero Model and Quantum Hydrodynamics
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid