Quantum spin glass in anisotropic dipolar systems

Abstract

The spin-glass phase in the $\LHx$ compound is considered. At zero transverse field this system is well described by the classical Ising model. At finite transverse field deviations from the transverse field quantum Ising model are significant, and one must take properly into account the hyperfine interactions, the off-diagonal terms in the dipolar interactions, and details of the full J=8 spin Hamiltonian to obtain the correct physical picture. In particular, the system is not a spin glass at finite transverse fields and does not show quantum criticality.

6 pages, 2 figures, to appear in J. Phys. Condens. Matter (proceedings of the HFM2006 conference)

References in corpus (7)

• Nuclear spin driven quantum relaxation in LiY_0.998Ho_0.002F_4
• Zero--Temperature Quantum Phase Transition of a Two--Dimensional Ising Spin--Glass
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Theory of the Magnetic phase diagram of LiHoF${}_4$
• Induced Random Fields in the LiHo${}_x$Y${}_{1-x}$F${}_4$ Quantum Ising Magnet in a Transverse Magnetic Field
• Significance of the Hyperfine Interactions in the Phase Diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• Quantum spin glass and the dipolar interaction

Cited by in corpus (10)

• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• The low-$T$ phase diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• Collective excitations and marginal stability of quantum Ising spin glasses
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Novel disordering mechanism in ferromagnetic systems with competing interactions
• Effective Spin-1/2 Description of Transverse-Field-Induced Random Fields in Dipolar Spin Glasses with Strong Single-Ion Anisotropy
• Correlated random fields in dielectric and spin glasses
• Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Direct Measurement of Random Fields in the $LiH{o}_x{Y}_{1-x}{F}_4$ Crystal
• Microscopics of Quantum Annealing in the Disordered Dipolar Ising Ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$