Open AccessCritical behavior of the quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice
Author(s) -
Weike Zou,
Xiangbin Kong,
Chunyang Wang,
Zhong-Yang Gao
Publication year - 2010
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.59.4874
Subject(s) - condensed matter physics , critical exponent , antiferromagnetism , phase diagram , heisenberg model , anisotropy , renormalization group , phase transition , physics , ferromagnetism , ising model , lattice (music) , quantum phase transition , critical phenomena , quantum , diamond , diamond cubic , parameter space , quantum mechanics , materials science , phase (matter) , mathematics , geometry , acoustics , composite material
With a real-space renormalization-group method, the anisotropic quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice is studied, and the phase diagram and critical properties are obtained. For the ferromagnetic system, it is shown that there is a finite-temperature phase transition for Δ=0 where Δ is the anisotropy parameter. The order parameter and critical exponents are also calculated. For the antiferromagnetic model, we find that the critical temperature is not equal to zero for Δ=0 and there is not reentrant behavior on the critical line.