### Abstract

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

Original language | English (US) |
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Article number | 024425 |

Pages (from-to) | 244251-2442518 |

Number of pages | 2198268 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 64 |

Issue number | 2 |

State | Published - Aug 20 2001 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

Bernevig, B. A., Giuliano, D., & Laughlin, R. B. (2001). Coordinate representation of the two-spinon wave function and spinon interaction in the Haldane-Shastry model.

*Physical Review B - Condensed Matter and Materials Physics*,*64*(2), 244251-2442518. [024425].