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Spinons are among the generic excitations in one-dimensional spin systems,they can be massless or massive. The quantitative description of massivespinons poses a considerable challenge in spite of various variationalapproaches. We show that a representation in terms of hopping and Bogoliubovspinon processes, which we call "spinon-pair" operators, and their combinationis possible. We refer to such a representation as second quantized form.Neglecting terms which change the number of spinons yields the variationalresults. Treating the bilinear and quartic terms by continuous unitarytransformations leads to considerably improved results. Thus, we provide theproof-of-principle that systems displaying massive spinons as elementaryexcitations can be treated in second quantization based on spinon-pairrepresentation.

Massive spinons in $S=1/2$ spin chains: spinon-pair operator representation