Finite-size-scaling analysis of the XY universality class between two and three dimensions: an application of novotny's transfer-matrix method

• Nishiyama, Yoshihiro

抄録

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.

収録刊行物

• Physical Review E

  Physical Review E 71 (4), 2005-04

キーワード

• stacked triangular lattice
• histogram monte-carlo
• nearestneighbor
• interactions
• 6-state clock model
• ising-model
• critical exponents
• criticalbehavior
• 3 dimensions
• sierpinski carpets

詳細情報

• CRID: 1050846637265019008
• NII論文ID: 120002314124
• Web Site: https://ousar.lib.okayama-u.ac.jp/30270
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles