Quantum and Classical Glass Transitions in $LiH{o}_x{Y}_{1-x}{F}_4$

Abstract

When performed in the proper low field, low frequency limits, measurements of the dynamics and the nonlinear susceptibility in the model Ising magnet in transverse field, ${\text{LiHo}}_x{\text{Y}}_{1-x}{\text{F}}_4$, prove the existence of a spin glass transition for $x$ = 0.167 and 0.198. The classical behavior tracks for the two concentrations, but the behavior in the quantum regime at large transverse fields differs because of the competing effects of quantum entanglement and random fields.

arXiv comment5 pages, 5 figures. Updated figure 3 with corrected calibration information for thermometry

References in corpus (23)

• Theory of Quantum Annealing of an Ising Spin Glass
• Entangled Quantum States of Magnetic Dipoles
• A Solvable Spin-Glass of Quantum Rotors
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
• Tunable Quantum Tunneling of Magnetic Domain Walls
• Quantum Phase Transition of a Magnet in a Spin Bath
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Higher dimensional realizations of activated dynamic scaling at random quantum transitions
• Coherent Spin Oscillations in a Disordered Magnet
• Theory of the Magnetic phase diagram of LiHoF${}_4$
• The Quantum Spherical p-Spin-Glass Model
• Induced Random Fields in the LiHo${}_x$Y${}_{1-x}$F${}_4$ Quantum Ising Magnet in a Transverse Magnetic Field
• Ferromagnet in a continuously tuneable random field
• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• 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
• Absence of Conventional Spin-Glass Transition in the Ising Dipolar System LiHo_xY_{1-x}F_4
• Phase diagram of the dilute magnet LiHo_xY_{1-x}F_4
• Absence of Dipole Glass Transition for Randomly Dilute Classical Ising Dipoles
• Quantum Spin Glasses
• Quantum Projection in an Ising Spin Liquid
• Effective Spin-1/2 Description of Transverse-Field-Induced Random Fields in Dipolar Spin Glasses with Strong Single-Ion Anisotropy

Cited by in corpus (39)

• Multivariable Optimization: Quantum Annealing & Computation
• Observation of Spin Glass Dynamics in Dilute LiHo${}_x$Y${}_{1-x}$F${}_4$
• The low-$T$ phase diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4
• 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
• Low-temperature properties of the dilute dipolar magnet LiHo_xY_(1-x)F_4
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Switchable Hardening of a Ferromagnet at Fixed Temperature
• 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
• Magnetic and thermodynamic properties of cobalt doped iron pyrite: Griffiths Phase in a magnetic semiconductor
• Origin of `end of aging' and sub-aging scaling behavior in glassy dynamics
• Pure and Random-Field Quantum Criticality in the Dipolar Ising Model: Theory of $M{n}_{12}$ acetates
• Experimental Phase Diagram and Dynamics of a Dilute Dipolar-Coupled Ising System
• Tunneling and inversion symmetry in single-molecule magnets: the case of the Mn12 wheel molecule
• Study of the ground state properties of $LiH{o}_x{Y}_{1-x}{F}_4$ using $\mu$SR
• Probing strongly hybrid nuclear-electronic states in a model quantum ferromagnet
• Phase diagram with enhanced spin-glass region of mixed Ising / XY magnets LiHo${}_x$Er${}_{1-x}$F${}_4$
• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• Suppression of ferromagnetism in the La(V${}_x$Cr${}_{1-x}$)Sb${}_3$ system
• Evolution of spin relaxation processes in LiY${}_{1-x}$Ho${}_x$F${}_4$ with increasing x studied via AC-susceptibility and muon spin relaxation
• Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles
• Exact Solution for the Transverse Field Sherrington-Kirkpatrick Spin Glass Model with Continuous-Time Quantum Monte Carlo Method
• Precise determination of low energy electronuclear Hamiltonian for LiY${}_{1-x}$Ho${}_x$F${}_4$
• Spin-glass phase transition and behavior of nonlinear susceptibility in the Sherrington-Kirkpatrick model with random fields
• Nonlinear susceptibility of a quantum spin glass under uniform transverse and random longitudinal magnetic fields
• Dynamical Quantum Phase Transitions in presence of a spin bath
• Direct Measurement of Random Fields in the $LiH{o}_x{Y}_{1-x}{F}_4$ Crystal
• Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible Candidates for the Study of Transverse-Field-Induced Quantum Phase Transitions
• Monte Carlo study of the two-dimensional site-diluted dipolar Ising model
• Specific heat and non-linear susceptibility in spin glasses with random fields
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Microscopics of Quantum Annealing in the Disordered Dipolar Ising Ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Local renormalization method for random systems
• Quantum dynamics in strongly driven random dipolar magnets
• Quantum Annealing and Computation: A Brief Documentary Note
• Nonlinear and spin-glass susceptibilities of three site-diluted systems
• The quantum $p$-spin renormalization group in the large $N$ limit as a benchmark for functional renormalization group