### Abstract

We investigate numerically the critical lines and the critical properties of the fluid-dimer and the Neel-dimer transitions of the S= 1/2 antiferromagnetic XXZ chain with next-nearest interactions, and we confirm that the universality class of this model belongs to the quantum sine-Gordon model, as is expected from the bosonization. The method which we use in this paper to calculate the critical lines is free from the logarithmic corrections on the Kosterlitz-Thouless (K-T)-type transition line, which have made the K-T critical point difficult to obtain. By the use of this method, it is possible to determine the K-T critical line with high precision from small size data, and to identify the universality class.

Original language | English |
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Article number | 012 |

Pages (from-to) | 5773-5788 |

Number of pages | 16 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 27 |

Issue number | 17 |

DOIs | |

Publication status | Published - Dec 1 1994 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

*Journal of Physics A: Mathematical and General*,

*27*(17), 5773-5788. [012]. https://doi.org/10.1088/0305-4470/27/17/012