2006/11/30 by Moshe Schechter
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Field (mathematics) #Ising model #Longitudinal field #Magnetic field #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.77.020401
published as Phys. Rev. B 77, 020401(R) (2008) · minor changes, version to be published
arxiv created 2007/12/15 · openalex publication_date 2008/01/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
As a result of the interplay between the intrinsic off-diagonal terms of the dipolar interaction and an applied transverse field Ht, the diluted LiHoxY_1\ensuremath-xF4 system at x>0.5 is equivalent to a ferromagnet in a longitudinal random field (RF). At low Ht the quantum fluctuations between the Ising-like doublet states are negligible, while the effective induced RF is appreciable. This results in a practically exact equivalence to the classical RF Ising model. By tuning Ht, the applied longitudinal field, and the dilution, the Ising model can be realized in the presence of an effective RF, transverse field, and constant longitudinal field, all independently controlled. The experimental consequences for D=1,2,3 dimensions are discussed.