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

Rajiv R. P. Singh
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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 $1.16$.

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Rajiv R. P. Singh. 1995-10-12. Spinons, Solitons and Magnons in One-dimensional Heisenberg-Ising Antiferromagnets. https://doi.org/10.1103/physrevb.53.11582

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