Critical behavior of the quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice | Zendy

Zou Wei-Ke | Zendy; Xiang-Mu Kong | Zendy; Chun-Yang Wang | Zendy; Gao Zhong-Yang | Zendy

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Critical behavior of the quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice

Author(s) -

Zou Wei-Ke,

Xiang-Mu Kong,

Chun-Yang Wang,

Gao Zhong-Yang

Publication year - 2010

Publication title -

acta physica sinica

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.

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