Spinons, Solitons and Magnons in One-dimensional Heisenberg-Ising Antiferromagnets

Abstract

We calculate the excitation spectra for the one-$d$ Heisenberg-Ising antiferromagnets by expansions around the Ising limit. For $S=1/2$, the calculated expansion coefficients for the spinon-spectra agree term by term with the solution of Johnson and McCoy. For $S=1$, the solitons become gapless before the Heisenberg limit is reached, signalling a transition to the Haldane phase. By applying a staggered field we calculate the one-magnon spectra for the $S=1$ Heisenberg chain. For $S=3/2$ the quantum renormalization of the spin-wave spectra is calculated to be approximately $1.16$.

4 pages, RevTex, 3 postscript figures, Latex file and figures have been uuencoded

References in corpus (2)

• Spin-wave excitation spectra and spectral weights in square lattice antiferromagnets
• S(k) for Haldane Gap Antiferromagnets: Large-scale Numerical Results vs. Field Theory and Experiment

Cited by in corpus (1)

• Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy