Understanding Paramagnetic Spin Correlations in the Spin-Liquid Pyrochlore Tb2Ti2O7

Abstract

Recent elastic and inelastic neutron scattering studies of the highly frustrated pyrochlore antiferromagnet Tb2Ti2O7 have shown some very intriguing features that cannot be modeled by the local <111> classical Ising model, naively expected to describe this system at low temperatures. Using the random phase approximation to take into account fluctuations between the ground state doublet and the first excited doublet, we successfully describe the elastic neutron scattering pattern and dispersion relations in Tb2Ti2O7, semi-quantitatively consistent with experimental observations.

revtex4, 4 pages, 1 Color+ 2 BW figures

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Cited by in corpus (48)

• Magnetic Pyrochlore Oxides
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Frustrated quantum rare-earth pyrochlores
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Magnetic order and spin fluctuations in the spin liquid Tb$\_2$Sn$\_2$O$\_7$
• Phonon and crystal field excitations in geometrically frustrated rare earth titanates
• Rods of Neutron Scattering Intensity in Yb2Ti2O7: Compelling Evidence for Significant Anisotropic Exchange in a Magnetic Pyrochlore Oxide
• Magnetoelastic excitations in the pyrochlore spin liquid Tb${}_2$Ti${}_2$O${}_7$
• Theory of paramagnetic scattering in highly frustrated magnets with long-range dipole-dipole interactions: The case of the Tb2Ti2O7, pyrochlore antiferromagnet
• Long-range order and spin-liquid states of polycrystalline Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Field Induced Order and Spin Waves in the Pyrochlore Antiferromagnet Tb2Ti2O7
• Direct evidence for a dynamical ground state in the highly frustrated Tb${}_2$Sn${}_2$O${}_7$ pyrochlore
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
• Crystal field parameters of the rare earth pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = Tb, Dy, Ho)
• Spin liquid correlations, anisotropic exchange and symmetry breaking in Tb2Ti2O7
• Thermal Hall effects in quantum magnets
• Quadrupole Order in the Frustrated Pyrochlore Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Quantum spin configurations in Tb2Ti2O7
• Quantum spin fluctuations in the spin liquid state of Tb2Ti2O7
• Low-temperature magnetization in geometrically frustrated Tb2Ti2O7
• Crystal field states of Tb3+ in the pyrochlore spin liquid Tb2Ti2O7 from neutron spectroscopy
• Lack of Evidence for a Singlet Crystal Field Ground State in the Tb2Ti2O7 Magnetic Pyrochlore
• Order by Disorder and Energetic Selection of the Ground State in the XY Pyrochlore Antiferromagnet Er2Ti2O7. An Inelastic Neutron Scattering Study
• Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7
• Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7
• Magnetothermodynamics of the Ising Antiferromagnet Dy2Ge2O7
• Low temperature specific heat and possible gap to magnetic excitations in the Heisenberg pyrochlore antiferromagnet Gd2Sn207
• Spin dynamics in the ordered spin ice Tb${}_2$Sn${}_2$O${}_7$
• The Spin Liquid State of the Tb2Ti2O7 Pyrochlore Antiferromagnet: A Puzzling State of Affairs
• Dynamic quantum kagome ice
• Sample independence of magnetoelastic excitations in the rare earth pyrochlore Tb2Ti2O7
• Magnetisation process in Er2Ti2O7 and Tb2Ti2O7 at very low temperature
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Simulations of magnetic and magnetoelastic properties of Tb2Ti2O7 in paramagnetic phase
• Crystal Field and Magnetoelastic Interactions in Tb2Ti2O7
• Quenched crystal field disorder and magnetic liquid ground states in Tb2Sn2-xTixO7
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Absence of anomalous negative lattice-expansion for polycrystalline sample of Tb2Ti2O7
• Two geometrically frustrated magnets studied by neutron diffraction
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Quadrupole order in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Thermodynamic properties of quadrupolar states in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Intertwined Magnetic Dipolar and Electric Quadrupolar Correlations in the Pyrochlore Tb${}_2$Ge${}_2$O${}_7$
• Observation of magnetic fragmentation in spin ice