arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0708.2286cond-mat.dis-nncond-mat.stat-mech
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强单离子各向异性偶极自旋玻璃中横场诱导随机场的有效自旋1/2描述

Effective Spin-1/2 Description of Transverse-Field-Induced Random Fields in Dipolar Spin Glasses with Strong Single-Ion Anisotropy

S. M. A. Tabei, F. Vernay, M. J. P. Gingras

摘要:

我们提出了一个有效的S=1/2的方法来描述的随机场产生的有效性的分析和数值证据在S>=1,特别是在一个S=1,偶极自旋玻璃模型与强单轴伊辛各向异性和弱外部磁场Bx横向于伊辛方向。显着BX依赖的随机场自然出现在有效的低能量描述的微观S=1玩具模型。我们讨论了我们的研究结果与最近的理论研究有关的主题BX-诱导的随机场在LiHo $_x$ Y $_{1-x}$ F $_4$磁性材料与Ho $^{3+}$伊辛时刻受到横向场。我们表明,S_{eff} =1/2的方法是能够捕捉到的定性和定量方面的物理在小Bx,给出的结果,同意与使用传统的二阶微扰理论得到的。

英文摘要:

We present analytical and numerical evidence for the validity of an effective S=1/2 approach to the description of random field generation in S>=1, and especially in an S=1, dipolar spin glass models with strong uniaxial Ising anisotropy and subject to weak external magnetic field Bx transverse to the Ising direction. Explicitely Bx-dependent random fields are shown to naturally emerge in the effective low-energy description of a microscopic S=1 toy model. We discuss our results in relation to recent theoretical studies pertaining to the topic of Bx-induced random fields in the LiHo$_x$Y$_{1-x}$F$_4$ magnetic materials with the Ho$^{3+}$ Ising moments subject to a transverse field. We show that the S_{eff}=1/2 approach is able to capture both the qualitative and quantitative aspects of the physics at small Bx, giving results that agree with those obtained using conventional second order perturbation theory.

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