Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-08-16
Phys. Rev. B 77, 014432 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
9 pages. 4 eps figures
Scientific paper
10.1103/PhysRevB.77.014432
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.
Gingras Michel J. -P.
Tabei S. M. A.
Vernay François
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