Spin-Wave Theory and Static Correlations in a One-Dimensional Heisenberg Antiferromagnet

Abstract

The spin-wave spectrum of a one-dimensional Heisenberg antiferromagnet with no long-range order is derived by decoupling Green's-function equations in second order. Results are applied to static correlations, and agreement is obtained with Fisher's classical solution and quasielastic neutron-scattering data in ${\left(\mathrm{C}{\mathrm{D}}_3\right)}_4$NMn${\mathrm{Cl}}_3$.