From spinons to magnons in explicit and spontaneously dimerized antiferromagnetic chains

Details From spinons to magnons in explicit and spontaneously dimerized antiferromagnetic chains From spinons to magnons in explicit and spontaneously dimerized antiferromagnetic chains

1998-10-07

arxiv.org/abs/cond-mat/9810073v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, latex, 3 figures embedded in the text

Scientific paper

10.1103/PhysRevB.59.8660

We reconsider the excitation spectra of a dimerized and frustrated antiferromagnetic Heisenberg chain. This model is taken as the simpler example of compiting spontaneous and explicit dimerization relevant for Spin-Peierls compounds. The bosonized theory is a two frequency Sine-Gordon field theory. We analize the excitation spectrum by semiclassical methods. The elementary triplet excitation corresponds to an extended magnon whose radius diverge for vanishing dimerization. The internal oscilations of the magnon give rise to a series of excited state until another magnon is emited and a two magnon continuum is reached. We discuss, for weak dimerization, in which way the magnon forms as a result of a spinon-spinon interaction potential.

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