On the 3-particle scattering continuum in quasi one dimensional integer spin Heisenberg magnets

TL;DR

This paper investigates the three-particle scattering continuum in quasi-one-dimensional integer spin Heisenberg antiferromagnets using effective field theories, providing exact dynamical structure factors and analyzing interchain effects relevant to neutron scattering experiments.

Contribution

It offers an exact calculation of the zero-temperature dynamical structure factor in specific models and studies interchain coupling effects within a unified framework.

Findings

Exact dynamical structure factor for O(3) nonlinear sigma model

Analysis of interchain coupling effects via RPA

Application to neutron scattering data on CsNiCl3

Abstract

We analyse the three-particle scattering continuum in quasi one dimensional integer spin Heisenberg antiferromagnets within a low-energy effective field theory framework. We exactly determine the zero temperature dynamical structure factor in the O(3) nonlinear sigma model and in Tsvelik's Majorana fermion theory. We study the effects of interchain coupling in a Random Phase Approximation. We discuss the application of our results to recent neutron-scattering experiments on the Haldane-gap material ${\rm CsNiCl_3}$.