XXZ chain with a boundary

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)437-470
Number of pages34
JournalNuclear Physics, Section B
Volume441
Issue number3
DOIs
StatePublished - May 15 1995
Externally publishedYes

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vacuum
apexes
operators
hysteresis
magnetization
matrices
magnetic fields
excitation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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

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

In: Nuclear Physics, Section B, Vol. 441, No. 3, 15.05.1995, p. 437-470.

Research output: Contribution to journalArticle

Jimbo, M, Kedem, R, Kojima, T, Konno, H & Miwa, T 1995, 'XXZ chain with a boundary', Nuclear Physics, Section B, vol. 441, no. 3, pp. 437-470. https://doi.org/10.1016/0550-3213(95)00062-W
Jimbo, Michio ; Kedem, Rinat ; Kojima, Takeo ; Konno, Hitoshi ; Miwa, Tetsuji. / XXZ chain with a boundary. In: Nuclear Physics, Section B. 1995 ; Vol. 441, No. 3. pp. 437-470.
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