Living on the edge : ground-state selection in quantum spin-ice pyrochlores

Abstract

The search for new quantum phases, especially in frustrated magnets, is central to modern condensed matter physics. One of the most promising places to look is in rare-earth pyrochlore magnets with highly-anisotropic exchange interactions, materials closely related to the spin ices Ho2Ti2O7 and Dy2Ti2O7. Here we establish a general theory of magnetic order in these materials. We find that many of their most interesting properties can be traced back to the accidental degeneracies where phases with different symmetry meet. These include the ordered ground state selection by fluctuations in Er2Ti2O7, the dimensional-reduction observed in Yb2Ti2O7, and the absence of magnetic order in Er2Sn2O7.

A long-paper version of this preprint, "Living on the Edge", appears as arXiv:1603.09466 [accepted for publication in Physical Review B]. The text of v2 is otherwise unchanged from v1 (Submitted on 14 Nov 2013)

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Cited by in corpus (97)

• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Frustrated quantum rare-earth pyrochlores
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
• Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb${}_2$Ti${}_2$O${}_7$ in Magnetic Field
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Probing hidden spin order with interpretable machine learning
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Learning multiple order parameters with interpretable machines
• Multiphase Magnetism in Yb2Ti2O7
• Single-ion properties of the $S_{eff}$ = 1/2 XY antiferromagnetic pyrochlores, Na$A^{\prime }$Co${}_2$F${}_7$ ($A^{\prime }=$ Ca${}^{2+}$, Sr${}^{2+}$)
• Reentrant Phase Diagram of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ in $⟨111⟩$ Magnetic Field
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Fragmentation in Frustrated Magnets -- A review
• Effect of Chemical Pressure on the Crystal Electric Field States of Erbium Pyrochlore Magnets
• Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
• Role of defects in determining the magnetic ground state of ytterbium titanate
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Order out of a Coulomb phase and Higgs transtion: frustrated transverse interactions of Nd2Zr2O7
• Long range order in the dipolar XY antiferromagnet Er${}_2$Sn${}_2$O${}_7$
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
• Low energy structure of spiral spin liquids
• Competing orders in pyrochlore magnets from a ${\mathbb{Z}}_2$ spin liquid perspective
• Dipolar spin ice regime proximate to an all-in-all-out Néel ground state in the dipolar-octupolar pyrochlore Ce${}_2$Sn${}_2$O${}_7$
• Phase Competition in the Palmer-Chalker XY Pyrochlore Er${}_2$Pt${}_2$O${}_7$
• Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Magnetic properties of triangular lattice antiferromagnets Ba3RB9O18 (R = Yb, Er)
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Gd pyrochlore under a staggered molecular field in Gd${}_2$Ir${}_2$O${}_7$
• Magnetic Excitations in the Ground State of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Spin freezing in the disordered pyrochlore magnet NaCaCo${}_2$F${}_7$: NMR studies and Monte-Carlo simulations
• Long-range dynamical magnetic order and spin tunneling in the cooperative paramagnetic states of the pyrochlore analogous spinel antiferromagnets CdYb2X4 (X = S, Se)
• Generation of modulated magnetic structure based on cluster multipole: Application to $\alpha$-Mn and Co$M_3$S${}_6$
• Frustrated magnetism in the Heisenberg pyrochlore antiferromagnets $A$Yb${}_2$$X$${}_4$ ($A$ = Cd, Mg, $X$ = S, Se)
• Understanding Reentrance in Frustrated Magnets: the Case of the Er${}_2$Sn${}_2$O${}_7$ Pyrochlore
• Fingerprints of quantum spin ice in Raman scattering
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
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• Beyond magnons in Nd2ScNbO7: An Ising pyrochlore antiferromagnet with all in all out order and random fields
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Realization of fractonic quantum phases in the breathing pyrochlore lattice
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• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
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• Dynamical scaling as a signature of multiple phase competition in Yb${}_2$Ti${}_2$O${}_7$
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• Frustrated Magnetism of Pharmacosiderite Comprising Tetrahedral Clusters Arranged in the Primitive Cubic Lattice
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