On the weak confinement of kinks in the one-dimensional quantum ferromagnet CoNb2O6

TL;DR

This paper provides an exact solution for the two-kink bound-state spectra in the weakly confined Ising spin chain ferromagnet CoNb2O6, enhancing understanding of magnetic excitations observed via neutron scattering.

Contribution

It offers an exact analytical solution to a phenomenological model of two-kink configurations, improving interpretation of experimental spectra in CoNb2O6.

Findings

Derived explicit expressions for bound-state energy spectra.

Calculated neutron scattering intensities for magnetic modes.

Validated the phenomenological model with exact solutions.

Abstract

In a recent paper Coldea et al (2010 Science {\bf 327} 177) report observation of the weak confinement of kinks in the Ising spin chain ferromagnet CoNb2O6 at low temperatures. To interpret the entire spectra of magnetic excitations measured via neutron scattering, they introduce a phenomenological model, which takes into account only the two-kink configurations of the spin chain. We present the exact solution of this model. The explicit expressions for the two-kink bound-state energy spectra and for the relative intensities of neutron scattering on these magnetic modes are obtained in terms of the Bessel function.