Otsuka Hiromi, Okabe Yutaka, Okunishi Kouichi
Department of Physics, Tokyo Metropolitan University, Tokyo 192-0397 Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Mar;73(3 Pt 2):035105. doi: 10.1103/PhysRevE.73.035105. Epub 2006 Mar 23.
The field-induced Berezinskii-Kosterlitz-Thouless (BKT) transition in the ground state of the triangular antiferromagnetic Ising model is studied by the level-spectroscopy method. We analyze dimensions of operators around the BKT line, and estimate the BKT point H(c) approximately equal to 0.5229 +/-0.001, which is followed by the level-consistency check to demonstrate the accuracy of our estimate. Further we investigate the anisotropic case to clarify the stability of the field-induced string-density plateau against an incommensurate liquid state by the density-matrix renormalization-group method.
通过能级谱方法研究了三角反铁磁伊辛模型基态中的场致贝雷津斯基-科斯特利茨- Thouless(BKT)转变。我们分析了BKT线附近算符的维度,并估计BKT点H(c)约等于0.5229±0.001,随后进行能级一致性检验以证明我们估计的准确性。此外,我们通过密度矩阵重整化群方法研究各向异性情况,以阐明场致弦密度平台相对于非公度液态的稳定性。