Quantum spin configurations in Tb2Ti2O7

Abstract

Low energy collective angular momentum states of the Tb3+ ions in Tb2Ti2O7 are classified according to the irreducible representations of the octahedral point group. Degeneracy lifting due to the exchange interaction is discussed. Diffuse neutron scattering intensity patterns are calculated for each collective angular momentum state and the ground state is inferred by comparing to experiment.

5 pages, 1 colour figure. Slight corrections and additions to text and figure

References in corpus (6)

• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• 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
• Theory of paramagnetic scattering in highly frustrated magnets with long-range dipole-dipole interactions: The case of the Tb2Ti2O7, pyrochlore antiferromagnet
• Static Correlation and Dynamical Properties of Tb3+-moments in Tb2Ti2O7 -Neutron Scattering Study-
• Understanding Paramagnetic Spin Correlations in the Spin-Liquid Pyrochlore Tb2Ti2O7

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• Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7
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• Quantum Spin Ice Response to a Magnetic Field in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Understanding Reentrance in Frustrated Magnets: the Case of the Er${}_2$Sn${}_2$O${}_7$ Pyrochlore
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• Effects of "stuffing" on the atomic and electronic structure of the pyrochlore Yb${}_2$Ti${}_2$O${}_7$
• Beyond Single Tetrahedron Physics of Breathing Pyrochlore Compound Ba3Yb2Zn5O11
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• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
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• Effective spin-1/2 exchange interactions in Tb${}_2$Ti${}_2$O${}_7$
• Analytical theory of pyrochlore cooperative paramagnets
• Exact diagonalization for spin-1/2 spin ice pyrochlores
• Intertwined Magnetic Dipolar and Electric Quadrupolar Correlations in the Pyrochlore Tb${}_2$Ge${}_2$O${}_7$
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• Concurrence and entanglement on a 16-site spin-1/2 pyrochlore cluster
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries