Abstract
The effect of magnetic field h on the anisotropic susceptibility in a spin S = 1 2 anisotropic three-dimensional Heisenberg ferromagnet, is studied by the double-time Green's function method within Tyablikov approximation. The position T m and height χ( T m) of the maxima of both longitudinal and transverse susceptibilities are all fitted satisfactory to power laws: T m− T 0∝ h γ , and χ( T m)∝ h − β . Here the powers ( γ and β) are not critical exponents close to the critical temperature T c, and T 0= T c, 0 for longitudinal and transverse susceptibilities, respectively. The powers ( γ and β) are found to be strongly dependent on the anisotropy, which do not support the mean-field power law with exponent to be 2 3 . The origin of difference between the behaviors of the longitudinal and transverse susceptibility is discussed. Besides the power laws, more interesting is that in the weak anisotropy case, the position T m ⊥ of the maximum transverse susceptibility displays anomalous phenomena under different magnetic field h.
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