Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4

Abstract

The physics of the spin glass (SG) state, with magnetic moments (spins) frozen in random orientations, is one of the most intriguing problems in condensed matter physics. While most theoretical studies have focused on the Edwards-Anderson model of Ising spins with only discrete `up/down' directions, such Ising systems are experimentally rare. LiHo${}_x$Y${}_{1-x}$F${}_4$, where the Ho${}^{3+}$ moments are well described by Ising spins, is an almost ideal Ising SG material. In LiHo${}_x$Y${}_{1-x}$F${}_4$, the Ho${}^{3+}$ moments interact predominantly via the inherently frustrated magnetostatic dipole-dipole interactions. The random frustration causing the SG behavior originates from the random substitution of dipole-coupled Ho${}^{3+}$ by non-magnetic Y${}^{3+}$. In this paper, we provide compelling evidence from extensive computer simulations that a SG transition at nonzero temperature occurs in a realistic microscopic model of LiHo${}_x$Y${}_{1-x}$F${}_4$, hence resolving the long-standing, and still ongoing, controversy about the existence of a SG transition in disordered dipolar Ising systems.

New version. 4 pages, 5 figures. Previous figure in version showing snapshot of spin configuration has been deleted. Two new figures added: one showing the correlation length alongs the a-direction and one figure illustrating that equilibrium has been reached

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Cited by in corpus (25)

• Collective Phenomena in the LiHo_xY_{1-x}F4 Quantum Ising Magnet: Recent Progress and Open Questions
• Monte Carlo study of the spin-glass phase of the site-diluted dipolar Ising model
• Existence of a Thermodynamic Spin-Glass Phase in the Zero-Concentration Limit of Anisotropic Dipolar Systems
• Probing many-body localization in a disordered quantum magnet
• Non-monotonic residual entropy in diluted spin ice: a comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results
• Experimental Phase Diagram and Dynamics of a Dilute Dipolar-Coupled Ising System
• Existence of a phase transition under finite magnetic field in the long-range RKKY Ising spin glass Dy${}_x$Y${}_{1-x}$Ru${}_2$Si${}_2$
• Phase diagram with enhanced spin-glass region of mixed Ising / XY magnets LiHo${}_x$Er${}_{1-x}$F${}_4$
• Study of the ground state properties of $LiH{o}_x{Y}_{1-x}{F}_4$ using $\mu$SR
• Novel disordering mechanism in ferromagnetic systems with competing interactions
• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• Dynamic scaling analysis of the long-range RKKY Ising spin glass Dy${}_x$Y${}_{1-x}$Ru${}_2$Si${}_2$
• Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles
• Nature of the spin-glass phase in dense packings of Ising dipoles with random anisotropy axes
• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
• Monte Carlo study of the two-dimensional site-diluted dipolar Ising model
• LiHoF4 as a spin-half non-standard quantum Ising system
• Quantum dynamics in strongly driven random dipolar magnets
• The dipolar spin glass transition in three dimensions
• Dynamics of random dipoles : chaos {\it vs} ferromagnetism
• Nonlinear and spin-glass susceptibilities of three site-diluted systems
• Role of positional disorder in fully textured ensembles of Ising-like dipoles
• The Effect of Intrinsic Quantum Fluctuations on the Phase Diagram of Anisotropic Dipolar Magnets
• Off-Diagonal dipolar interactions in the mixed Ising--XY magnet $LiH{o}_{x}E{r}_{1-x}{F}_4$