Yang-Baxter equation in long-range interacting systems

D. Bernard, M. Gaudin, F. D.M. Haldane, V. Pasquier

Research output: Contribution to journalArticle

211 Scopus citations

Abstract

We consider the su(p) spin chains with long-range interactions and the spin generalization of the Calogero-Sutherland models. We show that their properties derive from a transfer matrix obeying the Yang-Baxter equation. We obtain the expression of the conserved quantities of the dynamical models and we diagonalise them. In the spin chain case, we establish the connection between the degeneracies of the spectrum and the representation theory of the Yangians. We use a correspondence with the dynamical models to diagonalise the Hamiltonian. Finally, we extend the previous results to the case of a trigonometric R-matrix.

Original languageEnglish (US)
Article number010
Pages (from-to)5219-5236
Number of pages18
JournalJournal of Physics A: General Physics
Volume26
Issue number20
DOIs
StatePublished - Dec 1 1993
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Yang-Baxter equation in long-range interacting systems'. Together they form a unique fingerprint.

  • Cite this