### 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 |
---|---|

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 - 1994 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

*Journal of Physics A: Mathematical and General*,

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

**Critical properties of S= 1/2 antiferromagnetic XXZ chain with next-nearest-neighbour interactions.** / Nomura, Kiyohide; Okamoto, K.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 27, no. 17, 012, pp. 5773-5788. https://doi.org/10.1088/0305-4470/27/17/012

}

TY - JOUR

T1 - Critical properties of S= 1/2 antiferromagnetic XXZ chain with next-nearest-neighbour interactions

AU - Nomura, Kiyohide

AU - Okamoto, K.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=21844498665&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844498665&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/27/17/012

DO - 10.1088/0305-4470/27/17/012

M3 - Article

AN - SCOPUS:21844498665

VL - 27

SP - 5773

EP - 5788

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 17

M1 - 012

ER -