Quantum Phase Transition of a Magnet in a Spin Bath

Abstract

The excitation spectrum of a model magnetic system, LiHoF${}_4$, has been studied using neutron spectroscopy as the system is tuned to its quantum critical point by an applied magnetic field. The electronic mode softening expected for a quantum phase transition is forestalled by hyperfine coupling to the nuclear spins. We show that interactions with the nuclear spin bath control the length scale over which the excitations can be entangled. This generic result limits how far it is possible to approach intrinsic electronic quantum criticality.

13 pages, 3 figures, pre-proof version

References in corpus (11)

• Scaling of Entanglement close to a Quantum Phase Transitions
• Theory of the spin bath
• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Entangled Quantum States of Magnetic Dipoles
• Nuclear spin driven quantum relaxation in LiY_0.998Ho_0.002F_4
• Tunable Quantum Tunneling of Magnetic Domain Walls
• Spin-spin cross-relaxation in single-molecule magnets
• Coherent Spin Oscillations in a Disordered Magnet
• Theory of the Magnetic phase diagram of LiHoF${}_4$
• Coherence Window in the dynamics of Quantum Nanomagnets
• 1/z-renormalization of the mean-field behavior of the dipole-coupled singlet-singlet system HoF_3

Cited by in corpus (72)

• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Quantum simulation of a system with competing two- and three-body interactions
• Experimental observation of a phase transition in the evolution of many-body systems with dipolar interactions
• Criticality in correlated quantum matter
• Local and bulk 13C hyperpolarization in NV-centered diamonds at variable fields and orientations
• Emergence of superconductivity in the canonical heavy-electron metal YbRh2Si2
• Spin Waves and Quantum Criticality in the Frustrated XY Pyrochlore Antiferromagnet Er2Ti2O7
• Quantum and Classical Glass Transitions in $LiH{o}_x{Y}_{1-x}{F}_4$
• Ferromagnet in a continuously tuneable random 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 control of hybrid nuclear-electronic qubits
• The low-$T$ phase diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• Absence of Conventional Spin-Glass Transition in the Ising Dipolar System LiHo_xY_{1-x}F_4
• Environmental Decoherence versus Intrinsic Decoherence
• Magnetic dipolar ordering and quantum phase transition in Fe8 molecular magnet
• Decoherence and Quantum Walks: anomalous diffusion and ballistic tails
• Neutron spectroscopic study of crystal-field excitations and the effect of the crystal field on dipolar magnetism in Li$R$F${}_4$ ($R$ = Gd, Ho, Er, Tm, and Yb)
• Mermin-Wagner physics, (H,T) phase diagram, and candidate quantum spin-liquid phase in the spin-1/2 triangular-lattice antiferromagnet Ba8CoNb6O24
• Collective Phenomena in the LiHo_xY_{1-x}F4 Quantum Ising Magnet: Recent Progress and Open Questions
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• A second-order spin-flop transition in collinear two-sublattice antiferromagnets
• Thermodynamics of a frustrated quantum magnet on a square lattice
• Neutron scattering investigation of proposed Kosterlitz-Thouless transitions in the triangular-lattice Ising antiferromagnet TmMgGaO4
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Switchable Hardening of a Ferromagnet at Fixed Temperature
• Field-tuned ferroquadrupolar quantum phase transition in the insulator TmVO${}_4$
• Field evolution of the magnetic structures in Er${}_2$Ti${}_2$O${}_7$ through the critical point
• 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
• Using thermal boundary conditions to engineer the quantum state of a bulk magnet
• Emergence of mesoscale quantum phase transitions in a ferromagnet
• Experimental Phase Diagram and Dynamics of a Dilute Dipolar-Coupled Ising System
• Faraday rotation echo spectroscopy and detection of quantum fluctuations
• A Luttinger Liquid Coupled to a Quantum Spin Bath: Flow Equation Approach to the Kondo Necklace Model
• Thermal control of spin excitations in the coupled Ising-chain material RbCoCl3
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Direct Observation of Collective Electronuclear Modes About a Quantum Critical Point
• Quantum dynamics of an Ising spin-chain in a random transverse field
• Extracting signatures of quantum criticality in the finite-temperature behavior of many-body systems
• Tunneling and inversion symmetry in single-molecule magnets: the case of the Mn12 wheel molecule
• Effective Spin-1/2 Description of Transverse-Field-Induced Random Fields in Dipolar Spin Glasses with Strong Single-Ion Anisotropy
• Phase diagram with enhanced spin-glass region of mixed Ising / XY magnets LiHo${}_x$Er${}_{1-x}$F${}_4$
• Quantum Projection in an Ising Spin Liquid
• Probing strongly hybrid nuclear-electronic states in a model quantum ferromagnet
• Dimensional Reduction in Quantum Dipolar Antiferromagnets
• Partially disordered antiferromagnetism and multiferroic behavior in a frustrated Ising system, CoCl${}_2$-2SC(NH${}_2$)${}_2$
• Theory of magnon-polaritons in quantum Ising materials
• Magnetic State Selected by Magnetic Dipole Interaction in Kagome Antiferromagnet NaBa${}_2$Mn${}_3$F${}_{11}$
• Quantum phase transitions and decoupling of magnetic sublattices in the quasi-two-dimensional Ising magnet Co3V2O8 in a transverse magnetic field
• Limits to magnetic quantum criticality from nuclear spins
• Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Heisenberg Necklace Model in Magnetic Field
• Precise determination of low energy electronuclear Hamiltonian for LiY${}_{1-x}$Ho${}_x$F${}_4$
• Microscopic spin Hamiltonian for a dipolar-Heisenberg magnet LiGdF4 from EPR measurements
• Compact susceptometer for studies under transverse field geometries at very low temperatures
• Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible Candidates for the Study of Transverse-Field-Induced Quantum Phase Transitions
• Magnetic domain dynamics in an insulating quantum ferromagnet
• Dynamical Quantum Phase Transitions in presence of a spin bath
• A Gallery of Soft Modes: Theory and Experiment at a Ferromagnetic Quantum Phase Transition
• Partitioned Density Matrices and Entanglement Correlators
• Interlayer Diffusion of Nuclear Spin Polarization in $\nu =2/3$ Quantum Hall States
• Dynamic crystallization in a quantum Ising chain
• Spin bath dynamics and dynamical Renormalization Group
• LiHoF4 as a spin-half non-standard quantum Ising system
• Microscopics of Quantum Annealing in the Disordered Dipolar Ising Ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Cavity-Magnon-Polariton spectroscopy of strongly hybridized electro-nuclear spin excitations in LiHoF4
• Nonlocal pseudospin dynamics in a quantum Ising chain
• The Effect of Intrinsic Quantum Fluctuations on the Phase Diagram of Anisotropic Dipolar Magnets
• Ground and Applied-Field-Driven Magnetic States of Antiferromagnets
• Periodic dynamics in an Ising chain with a quadratic transverse field
• Extracting the trustworthiest way to service provider in complex online social networks
• Thermodynamics of a Quantum Ising system coupled to a spin bath: Zero Temperature Results