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Interaction among particles with fractionalized quantum numbers in one dimensional samples

Bogdan A. Bernevig·Domenico Giuliano·Robert B. Laughlin
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Abstract

The elementary excitations of strongly correlated one-dimensional electronic systems - spinons and holons - are discussed in an exact solution of the Haldane-Shastry and Kuramoto-Yokoyama model. We derive and exactly solve the equation of motion both for the two-spinon wavefunction and for the one-spinon, one-holon wavefunction. By solving the equations of motion we find the spinon-spinon and spinon-holon interaction to be a short-range attraction. The physical consequences of such an attraction on the spin-form factor and on the hole-spectral function are also worked out.

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Bogdan A. Bernevig, Domenico Giuliano, Robert B. Laughlin. 2003-01-30. Interaction among particles with fractionalized quantum numbers in one dimensional samples. https://arxiv.org/abs/cond-mat/0301593

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