Open AccessCritical properties of the S4 model on a special diamond-type hierarchical lattice
Author(s) -
Xiang Yin,
Huaxiang Yin,
Xiangbin Kong
Publication year - 2006
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.55.4901
Subject(s) - diamond , critical exponent , gaussian network model , statistical physics , gaussian , renormalization group , fixed point , lattice (music) , critical point (mathematics) , diamond cubic , phase transition , infrared fixed point , critical phenomena , condensed matter physics , physics , mathematics , materials science , mathematical physics , mathematical analysis , quantum mechanics , acoustics , composite material
Using the renormalization-group transformation and cumulative expansion technique, the phase transition and critical properties of the S4 model on a special diamond-type hierarchical lattice are studied, and its fixed points and critical exponents are obtained. The results show that there exists a Wilson-Fisher fixed point besides the Gaussian fixed point, and compared with the Gaussian model of the special diamond-type hierarchical lattices, the critical exponents have changed.