Field-Induced Order and Spin Waves in the Pyrochlore Antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Tb</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Ti</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>7</mml:mn></mml:msub></mml:math>

Rule, K. C.; Ruff, Jacob P. C.; Gaulin, B. D.; Dunsiger, S. R.; Gardner, J. S.; Clancy, J. P.; Lewis, M. J.; Dąbkowska, H. A.; Mirebeau, I.; Manuel, Pascal; Qiu, Yiming; Copley, J. R. D.

doi:10.1103/physrevlett.96.177201

Cited by 92 publications

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“…Magnetic neutron scattering on Tb 2 Ti 2 O 7 at low temperatures [8] shows diffuse scattering indicative of spin correlations over the spatial extent of a single tetrahedron (∼ 3.6Å) in zero magnetic field and ambient pressure. When perturbed with either relatively weak magnetic fields or applied pressures, or both, long range magnetic order can be induced at temperatures of ∼ 1-3 K [9,10,11].Low lying crystal field levels for Tb 3+ in this environment have been measured [12] and they are consistent with local [111] anisotopy, such that Tb moments are constrained to point into or out of the tetrahedra. However, the diffuse magnetic neutron scattering [7] as well…”

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“…However, the diffuse magnetic neutron scattering [7] as well as the presence of dispersive spin waves in the magnetic field-induced ordered state [9] of Tb 2 Ti 2 O 7 at low temperatures are more easily understood in terms of continuous spin symmetries. This quandry has been been recognized and discussed for some time [13,14].…”

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Structural Fluctuations in the Spin-Liquid State ofTb2Ti2O7

et al. 2007

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High resolution X-ray scattering measurements on single crystal Tb2Ti2O7 reveal finite structural correlations at low temperatures. This geometrically frustrated pyrochlore is known to exhibit a spin liquid, or cooperative paramagnetic state, at temperatures below ∼ 20 K. Parametric studies of structural Bragg peaks appropriate to the Fd3m space group of Tb2Ti2O7 reveal substantial broadening and peak intensity reduction in the temperature regime 20 K to 300 mK. We also observe a small, anomalous lattice expansion on cooling below a density maximum at ∼ 18 K. These measurements are consistent with the development of fluctuations above a cooperative Jahn-Teller, cubic-tetragonal phase transition at very low temperatures.PACS numbers: 75.25.+z, 75.40.Gb, 78.70.ck A magnetic material whose lattice geometry prevents the simultaneous satisfaction of the local magnetic interactions is said to be geometrically frustrated. Such materials, many of which are based on triangular and tetrahedral crystalline architectures, are of intense current interest because they have a natural proclivity towards exotic quantum mechanical ground states [1]. As the leading magnetic interactions on such lattices are frustrated, rather subtle subleading terms in the Hamiltonian, such as interactions beyond nearest-neighbours, weak disorder, and the order-by-disorder mechanism, tend to determine the ultimate ground state of the material.The rare-earth titanates, with formula A 2 Ti 2 O 7 , are a well-studied family of frustrated magnetic insulators. In this family, the A-site is occupied by a trivalent rareearth ion with eight-fold oxygen coordination, while the Ti 4+ ion has six-fold oxygen coordination. Both the A 3+ site and the Ti 4+ site independently reside on the pyrochlore structure, a face-centered cubic lattice of cornersharing tetrahedra which is a playground for phenomena related to geometrical frustration. Depending on the nature of the magnetic rare-earth ion in these materials, their ground states can exhibit long-range magnetic order [2,3], spin ice physics [4,5], and in the case of Tb 2 Ti 2 O 7 , a highly correlated quantum disordered state known as a collective paramagnet or spin liquid [6,7,8].The low temperature properties of Tb 2 Ti 2 O 7 have been extensively studied. However, the crystal lattice is generally assumed to be a passive bystander to the spin liquid physics. In this letter, we present high resolution x-ray scattering evidence for strong fluctuations in the low temperature lattice of Tb 2 Ti 2 O 7 , signifying both a feedback of frustration onto the crystal lattice, and the importance of the lattice degrees of freedom in determining the exotic ground state of this material.Current interest in Tb 2 Ti 2 O 7 is largely due its failure to attain magnetic order of any kind to temperatures as low as 20mK, despite having an antifer- [6,7,8]. Magnetic neutron scattering on Tb 2 Ti 2 O 7 at low temperatures [8] shows diffuse scattering indicative of spin correlations over the spatial extent of a single tetrahedr...

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Structural Fluctuations in the Spin-Liquid State ofTb2Ti2O7

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“…Since we completed our experimental work three studies have searched for the predicted plateau using bulk magnetic measurements without finding exact agreement with the theoretical predictions. [28][29][30] It is known that perturbations drive Tb 2 Ti 2 O 7 into a magnetically ordered phase, this has been demonstrated by applying magnetic fields [31][32][33][34][35] and pressure 36 . Structural fluctuations are also observed in zero magnetic field, 37 with phase transitions observed in fields larger than 25 T 38 and the presence of a tetragonal lattice distortion is also seen.…”

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Unusual field dependence of spin fluctuations on different timescales in Tb2Ti2O7

et al. 2012

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“…The four dimensional dynamic structure factor S(Q, ω) can be studied using neutron scattering techniques, due to the availibility of large crystals often grown using floating zone image furnace techniques. [16] The top panel shows a similar spectra from Er2Ti2O7 at 2 K. [14] The middle panel shows the results from a similar sized, 9g, single crystals of Tb2Ti2O7 at 1 K. [13,17]The lower panel shows the powder averaged elastic magnetic scattering from Y2Mo2O7 at 1.4 K, obtained by subtracting a 50 K data set from a 1.5 K data set. [14] Although materials chemists and physicists are trying hard to grow single crystals of Y2Mo2O7, [18] they have thus far been unsuccessful and only polycrystalline samples are currently available.…”

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