Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy

Abstract

Complex disordered states - from liquids and glasses to exotic quantum matter - are ubiquitous in nature. Their key properties include finite entropy, power-law correlations and emergent organising principles. In spin ice, spin correlations are determined by an ice rules organising principle that stabilises a magnetic state with the same zero point entropy as water ice. The entropy can be manipulated with great precision by a magnetic field: with field parallel to the trigonal axis one obtains quasi two dimensional kagome ice which can be mapped onto a dimer model. Here we use a field tilted slightly away from the trigonal axis to control the dimer statistical weights and realise the unusual critical behaviour predicted by Kasteleyn. Neutron scattering on Ho2Ti2O7 reveals pinch point scattering that characterises the emergent gauge structure of kagome ice; diffuse peaks that shift with field, signaling the Kasteleyn physics; and an unusual critical point.

17 pages, 5 figures. Significantly improved version appears in Nature Physics

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• Spin Correlations in Ho${}_2$Ti${}_2$O${}_7$: a Dipolar Spin Ice System
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Cited by in corpus (60)

• Magnetic Pyrochlore Oxides
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• A Field Guide to Spin Liquids
• The "Coulomb phase" in frustrated systems
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Observation of Magnetic Monopoles in Spin Ice
• Fragmentation of magnetism in artificial kagome dipolar spin ice
• Realization of the kagome spin ice state in a frustrated intermetallic compound
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Magnetic Monopole Dynamics in Spin Ice
• The importance of the weak: Interaction modifiers in artificial spin ices
• Revisiting Static and Dynamic Spin Ice Correlations in Ho2Ti2O7
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Emergent Order in the Kagome Ising Magnet Dy3Mg2Sb3O14
• Continuous magnetic phase transition in artificial square ice
• Reentrant Phase Diagram of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ in $⟨111⟩$ Magnetic Field
• Observing Monopoles in a Magnetic Analog of Ice
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Magnetic diffuse scattering in artificial kagome spin ice
• New physics in frustrated magnets: Spin ices, monopoles, etc
• Fragmentation in Frustrated Magnets -- A review
• Out of equilibrium dynamics in the bidimensional spin-ice model
• Classical Topological Order in Kagome Ice
• Low-temperature transport properties of intermetallic compound HoAgGe with kagome spin ice state
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Monopole holes in a partially ordered spin liquid
• Tuning electronic and phononic states with hidden order in disordered crystals
• Dynamic behavior of magnetic avalanches in the spin-ice compound Dy${}_2$Ti${}_2$O${}_7$
• Common Glass-Forming Spin-Liquid State in the Pyrochlore Magnets Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Intrinsic and extrinsic nonstationary field-driven processes in the spin-ice compound Dy2Ti2O7
• Field-Induced magnetic structures in Tb2Ti2O7 at low temperatures: From spin-ice to spin-flip structures
• Microscopic Aspects of Magnetic Lattice Demagnetizing Factors
• Semiclassical spin liquid state of easy axis Kagome antiferromagnets
• Ordering phenomena of spin trimers accompanied by large geometrical Hall effect
• Experimental signatures of versatile Weyl semimetal in pyrochlore iridate with spin-ice like magnetic orders
• Charge and spin correlations in the Monopole Liquid
• Classical topological order of the Rys F-model and its breakdown in realistic spin ice: Topological sectors of Faraday loops
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Structure and magnetic studies of geometrically frustrated disordered pyrochlores A${}_2$Zr${}_2$O${}_7$: (A = Eu, Gd, Er)
• Field-rotational magnetocaloric effect: A new experimental technique for accurate measurement of the anisotropic magnetic entropy
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• The Kasteleyn transition in three dimensions: spin ice in a [100] field
• $\mu$SR Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$
• Effects of uniaxial pressure on the spin ice Ho2Ti2O7
• Unconventional magnets in external magnetic fields
• Magnetization beyond the Ising limit of Ho${}_2$Ti${}_2$O${}_7$
• Field-Induced Ordering in Dipolar Spin Ice
• Investigation of the monopole magneto-chemical potential in spin ices using capacitive torque magnetometry
• Screening and the Pinch Point Paradox in Spin Ice
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• Tunable critical correlations in kagome ice
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Quantum Kasteleyn transition
• Emergent Snake Magnetic Domains in Canted Kagome Ice
• Magnetic charge injection in spin ice: a new way to fragmentation
• Microscopics of Quantum Annealing in the Disordered Dipolar Ising Ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Counting Complex Disordered States by Efficient Pattern Matching: Chromatic Polynomials and Potts Partition Functions
• Nonequilibrium generation of charge defects in kagome spin ice under slow cooling
• Textured heterogeneity in square artificial spin ice
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice