Interaction among particles with fractionalized quantum numbers in one dimensional samples
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.
Cite
@article{arxiv.cond-mat/0301593,
title = {Interaction among particles with fractionalized quantum numbers in one dimensional samples},
author = {Bogdan A. Bernevig and Domenico Giuliano and Robert B. Laughlin},
journal= {arXiv preprint arXiv:cond-mat/0301593},
year = {2007}
}
Comments
15 pages, 5 .eps figures. To appear in "Proceedings of the International School of Physics "Enrico Fermi" Course CLI, edited by B. Altshuler and V. Tognetti, IOS Press, Amsterdam 2003."