Solutions of the Yang-Baxter equation for isotropic quantum spin chains

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The author considers solutions of the Yang-Baxter equation such that the logarithmic derivative of the transfer matrix yields a quantum spin Hamiltonian which is isotropic in spin space, i.e. SU(2)-invariant. Four such solutions are known for each value of the spin S. (For S=1/2 they degenerate into the same solution, and for S=1 they only give three different solutions). For S<or=6 he shows that these are the only solutions which are SU(2)-invariant, except for S=3 when there is a fifth solution.

Original languageEnglish (US)
Article number010
Pages (from-to)2809-2817
Number of pages9
JournalJournal of Physics A: General Physics
Volume25
Issue number10
DOIs
StatePublished - 1992

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Quantum Spin Chain
Yang-Baxter Equation
Logarithmic Derivative
Invariant
Transfer Matrix
Hamiltonians
Derivatives

ASJC Scopus subject areas

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

Cite this

Solutions of the Yang-Baxter equation for isotropic quantum spin chains. / Kennedy, Thomas G.

In: Journal of Physics A: General Physics, Vol. 25, No. 10, 010, 1992, p. 2809-2817.

Research output: Contribution to journalArticle

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