A Creation Operator for Spinons in One Dimension

Abstract

We propose a definition for a creation operator for the spinon, the fractional statistics elementary excitation of the Haldane-Shastry model, and give numerical and analytical evidence that our operator creates a single spinon with nearly unit amplitude in the ISE model. We then discuss how the operator is useful in more general contexts such as studying the underlying spinons of other spin chain models, like the XXX- and XY-model, and of the one dimensional Hubbard model.