Abstract
We study the finite-size scaling (FSS) property of the correlation ratio, the ratio of the correlation functions with different distances. It is shown that the correlation ratio is a good estimator to determine the critical point of the second-order transition using the FSS analysis. The correlation ratio is especially useful for the analysis of the Kosterlitz-Thouless (KT) transition. We also present a generalized scheme of the probability-changing cluster algorithm, which has been recently developed by the present authors, based on the FSS property of the correlation ratio. We investigate the two-dimensional spin-1/2 quantum XY model of with this generalized scheme, obtaining the precise estimate of the KT transition temperature with less numerical effort.
Original language | English |
---|---|
Article number | 180401 |
Pages (from-to) | 1804011-1804014 |
Number of pages | 4 |
Journal | Physical Review B - Condensed Matter and Materials Physics |
Volume | 66 |
Issue number | 18 |
Publication status | Published - 2002 Nov 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics