XXZ chain with a boundary

Michio Jimbo, Rinat Kedem, Takeo Kojima, Hitoshi Konno, Tetsuji Miwa

Research output: Contribution to journalArticle


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 languageEnglish (US)
Pages (from-to)437-470
Number of pages34
JournalNuclear Physics, Section B
Issue number3
StatePublished - May 15 1995
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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    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