Ferromagnet in a continuously tuneable random field

Abstract

The Random-Field Ising Model (RFIM) has been extensively studied as a model system for understanding the effects of disorder in magnets. Since the late 1970s, there has been a particular focus on realizations of the RFIM in site-diluted antiferromagnets. We observe random-field effects in the dilute dipole-coupled ferromagnet ${\mathrm{LiHo}}_x{\mathrm{Y}}_{1-x}{\mathrm{F}}_4$. In the presence of a magnetic field transverse to the Ising axis ($H_t$), the behavior of ${\mathrm{LiHo}}_x{\mathrm{Y}}_{1-x}{\mathrm{F}}_4$ becomes increasingly dominated by the influence of random-field terms in the effective Hamiltonian. This is seen experimentally in the shape of the ferromagentic-paramagnetic phase boundary and in changes to the critical exponents near the classical critical point. We find that above the classical critical point the magnetic susceptibility diverges as $H_t\to 0$, and that the susceptibility both above and below the classical critical point can be collapsed onto a single universal curve using a modified Curie law which explicitly incorporates random-field contributions. The discovery of a ferromagnetic realization of the RFIM opens the door to investigation of the random-field problem with the wide variety of techniques available for probing ferromagnets, including the ability to examine both the statics and dynamics of the random-field problem. It also allows studying the effects of controlled amounts of randomness on the dynamics of domain pinning and the energetics of domain reversal.

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• Quantum Phase Transition of a Magnet in a Spin Bath
• Coherent Spin Oscillations in a Disordered Magnet
• 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
• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• Equilibrium random-field Ising critical scattering in the antiferromagnet Fe(0.93)Zn(0.07)F2

Cited by in corpus (47)

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• Maximum-Entropy Inference with a Programmable Annealer
• Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4
• Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group
• Collective Phenomena in the LiHo_xY_{1-x}F4 Quantum Ising Magnet: Recent Progress and Open Questions
• Universality from disorder in the random-bond Blume-Capel model
• Griffiths Singularities in the Random Quantum Ising Antiferromagnet: A Tree Tensor Network Renormalization Group Study
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Low-temperature properties of the dilute dipolar magnet LiHo_xY_(1-x)F_4
• Switchable Hardening of a Ferromagnet at Fixed Temperature
• Realization of random-field dipolar Ising ferromagnetism in a molecular magnet
• Existence of a Thermodynamic Spin-Glass Phase in the Zero-Concentration Limit of Anisotropic Dipolar Systems
• Random fields at a nonequilibrium phase transition
• Magnetic and thermodynamic properties of cobalt doped iron pyrite: Griffiths Phase in a magnetic semiconductor
• Probing many-body localization in a disordered quantum magnet
• Using thermal boundary conditions to engineer the quantum state of a bulk magnet
• Experimental Phase Diagram and Dynamics of a Dilute Dipolar-Coupled Ising System
• Ordered magnetism in the intrinsically decorated $j{}_{\mathrm{eff}}$ = $\frac{1}{2}$ $\alpha$-CoV${}_3$O${}_8$
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• Precise determination of low energy electronuclear Hamiltonian for LiY${}_{1-x}$Ho${}_x$F${}_4$
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• Magnetic domain dynamics in an insulating quantum ferromagnet
• Random field disorder at an absorbing state transition in one and two dimensions
• Quantum annealing of a frustrated magnet
• 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
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• Critical behavior of the three-state random-field Potts model in three dimensions
• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
• Effective realization of random magnetic fields in compounds with large single-ion anisotropy
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• LiHoF4 as a spin-half non-standard quantum Ising system
• Quantum dynamics in strongly driven random dipolar magnets
• Microscopics of Quantum Annealing in the Disordered Dipolar Ising Ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• The Effect of Intrinsic Quantum Fluctuations on the Phase Diagram of Anisotropic Dipolar Magnets
• Off-Diagonal dipolar interactions in the mixed Ising--XY magnet $LiH{o}_{x}E{r}_{1-x}{F}_4$