Density matrix renormalization group for 19-vertex model

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

卷:177

Article; Proceedings Paper

Honda, Y ; Horiguchi, T

关键词: Kosterlitz-Thouless;    renormalization group;   

DOI  :  10.1016/S0304-8853(97)00376-4

来源: Elsevier

【 摘 要 】

We embody the density matrix renormalization group method for the 19-vertex model on a square lattice; the 19-vertex model is regarded to be equivalent to the X Y model for small interaction. The transfer matrix of the 19-vertex model is classified by the total number of arrows incoming into one layer of the lattice. By using this property, we reduce the dimension of the transfer matrix appearing in the density matrix renormalization group method and obtain a very nice value of the conformal anomaly which are consistent with the value at the Berezinskii-Kosterlitz-Thouless transition point. (C) 1998 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free