### Abstract

By deriving and studying the coordinate representation for the one-spinon one-holon wave function we show that spinons and holons in the supersymmetric t-J model with 1/r^{2} interaction attract each other. The interaction causes a probability enhancement in the one-spinon one-holon wave function at short separation between the particles. We express the hole spectral function for a finite lattice in terms of the probability enhancement, given by the one-spinon one-holon wave function at zero separation. In the thermodynamic limit, the spinon-holon attraction turns into the square-root divergence in the hole spectral function.

Original language | English (US) |
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Article number | 195112 |

Pages (from-to) | 1951121-19511219 |

Number of pages | 17560099 |

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

Volume | 65 |

Issue number | 19 |

State | Published - May 15 2002 |

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. (2002). Coordinate representation of the one-spinon one-holon wave function and spinon-holon interaction.

*Physical Review B - Condensed Matter and Materials Physics*,*65*(19), 1951121-19511219. [195112].