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 |
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ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm. / Tomita, Yusuke; Okabe, Yutaka.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 66, No. 18, 180401, 01.11.2002, p. 1804011-1804014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm
AU - Tomita, Yusuke
AU - Okabe, Yutaka
PY - 2002/11/1
Y1 - 2002/11/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0036871334&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036871334&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0036871334
VL - 66
SP - 1804011
EP - 1804014
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 0163-1829
IS - 18
M1 - 180401
ER -