Structural distortion and the spin liquid state in Tb2Ti2O7

Abstract

It is shown that a k=0, A_{2u} distortion of the terbium tetrahedral network in Tb2Ti2O7 accounts for the apparent isolation of single tetrahedra as seen in neutron scattering studies. Single tetrahedron collective spin states, rather than individual spins, account for the main features of the spin liquid state, namely, fluctuating local moments and the absence of long range order. Singlet and doublet collective spin ground states are considered. An effective interaction between tetrahedra on the fcc lattice is derived and found to be weak and anisotropic.

5 pages

References in corpus (12)

• Magnetic and Thermodynamic Properties of the Collective Paramagnet-Spin Liquid Pyrochlore Tb2Ti2O7
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Order by distortion and string modes in pyrochlore antiferromagnet
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• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Spin-Peierls phases in pyrochlore antiferromagnets
• Phonon and crystal field excitations in geometrically frustrated rare earth titanates
• Structural Fluctuations in the Spin Liquid State of Tb2Ti2O7
• Static Correlation and Dynamical Properties of Tb3+-moments in Tb2Ti2O7 -Neutron Scattering Study-
• Field Induced Order and Spin Waves in the Pyrochlore Antiferromagnet Tb2Ti2O7
• Quantum spin configurations in Tb2Ti2O7
• Structural Order Parameter in the Pyrochlore Superconductor Cd2Re2O7

Cited by in corpus (79)

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• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
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• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
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• An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets
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• Lightly stuffed pyrochlore structure of single-crystalline Yb2Ti2O7 grown by the optical floating zone technique
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• A quantum liquid of magnetic octupoles on the pyrochlore lattice
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• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
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• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
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• Spin-Ice State of the Quantum Heisenberg Antiferromagnet on the Pyrochlore Lattice
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
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• Order-by-Disorder in the XY Pyrochlore Antiferromagnet Revisited
• Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7
• New physics in frustrated magnets: Spin ices, monopoles, etc
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• Nature of finite-temperature transition in anisotropic pyrochlore Er2Ti2O7
• Low temperature and high pressure Raman and x-ray studies of pyrochlore Tb${}_2$Ti${}_2$O${}_7$ : phonon anomalies and possible phase transition
• Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
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• Role of defects in determining the magnetic ground state of ytterbium titanate
• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
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• A novel type of splayed ferromagnetic order observed in Yb2Ti2O7
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• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Multiferroicity in spin ice: towards a magnetic crystallography of Tb2Ti2O7 in a field
• Ising exchange interaction in lanthanides and actinides
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• Sample independence of magnetoelastic excitations in the rare earth pyrochlore Tb2Ti2O7
• Fluctuation-Driven Selection at Criticality in a Frustrated Magnetic System: the Case of Multiple-k Partial Order on the Pyrochlore Lattice
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