### Abstract

The XXZ spin chain with a boundary magnetic field h is considered, using the vertex operator approach to diagonalize the hamiltonian. We find explicit bosonic formulas for the two vacuum vectors with zero particle content. There are three distinct regions when h ≥ 0, in which the structure of the vacuum states is different. Excited states are given by the action of vertex operators on the vacuum states. We derive the boundary S-matrix and present an integral formula for the correlation functions. The boundary magnetization exhibits boundary hysteresis. We also discuss the rational limit, the XXX model.

Original language | English (US) |
---|---|

Pages (from-to) | 437-470 |

Number of pages | 34 |

Journal | Nuclear Physics, Section B |

Volume | 441 |

Issue number | 3 |

DOIs | |

State | Published - May 15 1995 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'XXZ chain with a boundary'. Together they form a unique fingerprint.

## Cite this

Jimbo, M., Kedem, R., Kojima, T., Konno, H., & Miwa, T. (1995). XXZ chain with a boundary.

*Nuclear Physics, Section B*,*441*(3), 437-470. https://doi.org/10.1016/0550-3213(95)00062-W