Coordinate Representation of the Two-Spinon wavefunction and Spinon Interaction

Details Coordinate Representation of the Two-Spinon wavefunction and Spinon Interaction Coordinate Representation of the Two-Spinon wavefunction and Spinon Interaction

2000-11-16

arxiv.org/abs/cond-mat/0011270v1

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, 5 .eps figures

Scientific paper

10.1103/PhysRevB.64.024425

By deriving and studying the coordinate representation for the two-spinon wavefunction, we show that spinon excitations in the Haldane-Shastry model interact. The interaction is given by a short-range attraction and causes a resonant enhancement in the two-spinon wavefunction at short separations between the spinons. We express the spin susceptibility for a finite lattice in terms of the resonant enhancement, given by the two-spinon wavefunction at zero separation. In the thermodynamic limit, the spinon attraction turns into the square-root divergence in the dynamical spin susceptibility.

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