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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. Gingra
; | | Date: |
16 Aug 2007 | | Abstract: | 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. | | Source: | arXiv, 0708.2286 | | Services: | Forum | Review | PDF | Favorites | |
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