2007/08/16 by S. M. Ali Tabei, S. M. A. Tabei, F. Vernay +2
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Condensed matter physics #Dipole #Ising model #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Random field #Spin glass #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.77.014432
published as Phys. Rev. B 77, 014432 (2008) · 9 pages. 4 eps figures
arxiv created 2007/08/16 · openalex publication_date 2008/01/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present analytical and numerical evidence for the validity of an effective Seff=(1)/(2) approach to the description of random field generation in S\ensuremath\geqslant1, and especially for S=1, dipolar spin-glass models with strong uniaxial Ising anisotropy and subject to weak external magnetic field Bx transverse to the Ising direction. Explicitly 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 LiHoxY_1\ensuremath-xF4 magnetic materials with the Ho3+ Ising moments subject to a transverse field. We show that the Seff=(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.