## Abstract

The electron addition spectrum A^{+} (k, ω) is obtained analytically for the one-dimensional supersymmetric t-J model with 1/r^{2} interaction. The spectral function A^{+} (k, ω) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A^{+} (k, ω) in the (k, ω) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit. This peak is interpreted as a result of spin-charge recombination. Our derivation relies on the ideas of Yangian highest weight states and Jack polynomials adapted to the SU(1,1) supersymmetry.

Original language | English |
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Pages (from-to) | 380-418 |

Number of pages | 39 |

Journal | Nuclear Physics B |

Volume | 702 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2004 Dec 13 |

## Keywords

- Electron addition spectrum
- Fractional statistics
- Luttinger liquid
- Supersymmetric t-J model
- Sutherland model

## ASJC Scopus subject areas

- Nuclear and High Energy Physics

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