このエントリーをはてなブックマークに追加
ID 30270
FullText URL
Author
Abstract

Based on Novotny's transfer-matrix method, we simulated the (stacked) triangular Ising antiferromagnet embedded in the space with the dimensions variable in the range 2 <= d <= 3. Our aim is to investigate the criticality of the XY universality class for 2 <= d <= 3. For that purpose, we employed an extended version of the finite-size-scaling analysis developed by Novotny, who utilized this scheme to survey the Ising criticality (ferromagnet) for 1 <= d <= 3. Diagonalizing the transfer matrix for the system sizes N up to N=17, we calculated the d-dependent correlation-length critical exponent nu(d). Our simulation result nu(d) appears to interpolate smoothly the known two limiting cases, namely, the Kosterlitz-Thouless (KT) and d=3 XY universality classes, and the intermediate behavior bears close resemblance to that of the analytical formula via the 1/N-expansion technique. Methodological details including the modifications specific to the present model are reported.

Keywords
stacked triangular lattice
histogram monte-carlo
nearestneighbor
interactions
6-state clock model
ising-model
critical exponents
criticalbehavior
3 dimensions
sierpinski carpets
Note
Digital Object Identifer:10.1103/PhysRevE.71.046112
Published with permission from the copyright holder. This is the institute's copy, as published in Physical Review E, April 2005, Volume 71, Issue 4, Pages 6.
Publisher URL:http://dx.doi.org/10.1103/PhysRevE.71.046112
Direct access to Thomson Web of Science record
Copyright © 2005 The American Physical Society. All rights reserved.
Published Date
2005-4
Publication Title
Physical Review E
Volume
volume71
Issue
issue4
Content Type
Journal Article
language
英語
Refereed
True
DOI
Web of Science KeyUT
Submission Path
electricity_and_magnetism/178