### 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 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

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

**XXZ chain with a boundary.** / Jimbo, Michio; Kedem, Rinat; Kojima, Takeo; Konno, Hitoshi; Miwa, Tetsuji.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 441, no. 3, pp. 437-470. https://doi.org/10.1016/0550-3213(95)00062-W

}

TY - JOUR

T1 - XXZ chain with a boundary

AU - Jimbo, Michio

AU - Kedem, Rinat

AU - Kojima, Takeo

AU - Konno, Hitoshi

AU - Miwa, Tetsuji

PY - 1995/5/15

Y1 - 1995/5/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001510539&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001510539&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(95)00062-W

DO - 10.1016/0550-3213(95)00062-W

M3 - Article

AN - SCOPUS:0001510539

VL - 441

SP - 437

EP - 470

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -