Interaction among particles with fractionalized quantum numbers in one dimensional samples

Details Interaction among particles with fractionalized quantum numbers in one dimensional samples Interaction among particles with fractionalized quantum numbers in one dimensional samples

2003-01-30

arxiv.org/abs/cond-mat/0301593v1

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 5 .eps figures. To appear in "Proceedings of the International School of Physics "Enrico Fermi" Course CLI, edited b

Scientific paper

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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