### 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 language | English (US) |
---|---|

Article number | 010 |

Pages (from-to) | 2809-2817 |

Number of pages | 9 |

Journal | Journal of Physics A: General Physics |

Volume | 25 |

Issue number | 10 |

DOIs | |

State | Published - 1992 |

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### 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.

Research output: Contribution to journal › Article

*Journal of Physics A: General Physics*, vol. 25, no. 10, 010, pp. 2809-2817. https://doi.org/10.1088/0305-4470/25/10/010

}

TY - JOUR

T1 - Solutions of the Yang-Baxter equation for isotropic quantum spin chains

AU - Kennedy, Thomas G

PY - 1992

Y1 - 1992

N2 - 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

AB - 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

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UR - http://www.scopus.com/inward/citedby.url?scp=0003816475&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/25/10/010

DO - 10.1088/0305-4470/25/10/010

M3 - Article

VL - 25

SP - 2809

EP - 2817

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 10

M1 - 010

ER -