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

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

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

Zou Wei-Ke, Kong Xiang-Mu, Wang Chun-Yang, Gao Zhong-Yang
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  • Received Date:  02 May 2009
  • Accepted Date:  15 November 2009
  • Published Online:  15 July 2010

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

  • 1. College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

Abstract: 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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