Open AccessPhase transitions of XY model in ultra-thin magnetic film with a triangular latt ice
Author(s) -
Yi Wang,
Runze Han,
Xiaoyan Liu,
T. Horiguchi
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.1776
Subject(s) - condensed matter physics , critical exponent , hexagonal lattice , antiferromagnetism , monte carlo method , phase transition , classical xy model , scaling , chirality (physics) , exponent , ferromagnetism , physics , materials science , lattice (music) , quantum mechanics , geometry , linguistics , statistics , mathematics , chiral symmetry breaking , philosophy , quark , nambu–jona lasinio model , acoustics
Phase transitions and critical phenomena have been clarified for an XY model on the triangular lattice of ultra-thin magnetic films. We have calculated the ther modynamic quantities such as the internal energy, the specific heat, the chirali ty and so on by using Monte-Carlo simulations. The critical behaviours have been clarified by using finite-size scaling analyses. We have found a new critical b ehaviour due to a steep increase of the chirality as a function of temperature f or the XY model on a layered triangular lattice with antiferromagnetic layers an d ferromagnetic layers in some range of interaction parameters, besides the Kost erlize-Thouless transition and the usual chirality transition. In the new chiral ity transition, the value of a critical exponent has not been observed over any thickness dependence of this value as far as the layered systems are concerned. In the other chirality transition, the value of a critical exponent has been obs erved over the thickness.