Dynamical scaling as a signature of multiple phase competition in Yb${}_2$Ti${}_2$O${}_7$

Abstract

$\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ is a celebrated example of a pyrochlore magnet with highly-frustrated, anisotropic exchange interactions. To date, attention has largely focused on its unusual, static properties, many of which can be understood as coming from the competition between different types of magnetic order. Here we use inelastic neutron scattering with exceptionally high energy resolution to explore the dynamical properties of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$. We find that spin correlations exhibit dynamical scaling, analogous to behavior found near to a quantum critical point. We show that the observed scaling collapse can be explained within a phenomenological theory of multiple--phase competition, and confirm that a scaling collapse is also seen in semi--classical simulations of a microscopic model of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$. These results suggest a general picture for dynamics in systems with competing ground states.

arXiv comment5 pages, 4 figures, 8 pages supplememtnal materials

References in corpus (48)

• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Onset of antiferromagnetism in heavy fermion metals
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Quantum Excitations in Quantum Spin Ice
• Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Scaling of magnetic fluctuations near a quantum phase transition
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• First Order Transition in the Spin Dynamics of Geometrically Frustrated Yb2Ti2O7
• Living on the edge : ground-state selection in quantum spin-ice pyrochlores
• Theory of multiple--phase competition in pyrochlore magnets with anisotropic exchange, with application to Yb2Ti2O7, Er2Ti2O7 and Er2Sn2O7
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Frustration and quantum criticality
• The $S=1/2$ Kagome Heisenberg Antiferromagnet Revisited
• Two Dimensional Kagome Correlations and Field Induced Order in the Ferromagnetic XY Pyrochlore Yb2Ti2O7
• Rods of Neutron Scattering Intensity in Yb2Ti2O7: Compelling Evidence for Significant Anisotropic Exchange in a Magnetic Pyrochlore Oxide
• Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb${}_2$Ti${}_2$O${}_7$ in Magnetic Field
• Impact of Stoichiometry of Yb2Ti2O7 on its Physical Properties
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Singular charge fluctuations at a magnetic quantum critical point
• Spin dynamics in the presence of competing ferro- and antiferro-magnetic correlations in Yb2Ti2O7
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• A Measure of Monopole Inertia in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Thermal conductivity of quantum magnetic monopoles in the frustrated pyrochlore Yb2Ti2O7
• Unconventional Magnetic Ground State in Yb${}_2$Ti${}_2$O${}_7$
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Gapless quantum excitations from an Ice-like Splayed Ferromagnetic ground state in stoichiometric Yb2Ti2O7
• Operator size at finite temperature and Planckian bounds on quantum dynamics
• Quantum spin configurations in Tb2Ti2O7
• Transition and spin dynamics at very low temperature in the pyrochlores Yb2Ti2O7 and Gd2Sn2O7
• Multiphase Magnetism in Yb2Ti2O7
• Reentrant Phase Diagram of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ in $⟨111⟩$ Magnetic Field
• Ground state selection in XY pyrochlore antiferromagnets R${}_2$Ge${}_2$O${}_7$ (R = Er, Yb)
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Role of defects in determining the magnetic ground state of ytterbium titanate
• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
• Palmer-Chalker correlations in the XY pyrochlore antiferromagnet Er2Sn2O7
• Long range order in the dipolar XY antiferromagnet Er${}_2$Sn${}_2$O${}_7$
• Ground state selection under pressure in the quantum pyrochlore magnet Yb2Ti2O7
• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
• Competing orders, competing anisotropies, and multicriticality: The case of Co-doped YbRh2Si2
• Magnetic Excitations in the Ground State of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Low-temperature thermal conductivity of Dy_2Ti_2O_7 and Yb_2Ti_2O_7 single crystals
• Understanding Reentrance in Frustrated Magnets: the Case of the Er${}_2$Sn${}_2$O${}_7$ Pyrochlore
• Orientation Dependence of the Magnetic Phase Diagram of Yb${}_2$Ti${}_2$O${}_7$

Cited by in corpus (6)

• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Quantum paramagnetism in a non-Kramers rare-earth oxide: Monoclinic $\mathrm{P}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Pulling order back from the brink of disorder: Observation of a nodal line spin liquid and fluctuation stabilized order in K${}_2$IrCl${}_6$
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice