Ill-behaved convergence of a model of the Gd3Ga5O12garnet antiferromagnet with truncated magnetic dipole–dipole interactions

Yavors’kii, T.; Gingras, Michel J. P.; Enjalran, Matthew

doi:10.1088/0953-8984/19/14/145274

Cited by 7 publications

(22 citation statements)

References 15 publications

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“…Prior to the application of a magnetic field, we have attempted to find the relatively sharp low-intensity magnetic Bragg peaks, which have been detected in a powder diffraction pattern at temperatures below 140 mK at incommensurate positions, such as Q 1 = 0.64 Å−1 and Q 2 = 0.85 Å−1 and several others. Recent theoretical results [4,5,6] advocated a scenario that in the zero field regime GGG upon cooling is very close to developing conventional long range magnetic order, which corresponds to the appearance of the sharp but not resolution limited diffraction peaks. These peaks give a correlation length of approximately 100 Å, suggesting extended short range order (over 8 cubic unit cells of 12.3 Å each).…”

Section: Resultsmentioning

confidence: 99%

“…5 shows the temperature dependence of the intensity of the selected FM and AFM peaks in a field of 1.24 T and 1.67 T. A large difference between the results for field-cooling and field-warming regimes for the incommensurate peaks again points to a metastable nature of the field-induced state. The instability and history-dependence were seen in the Monte Carlo simulations of GGG [16], although doubts were raised whether the energy of dipole-dipole interactions was calculated properly [4,5].…”

Section: Resultsmentioning

confidence: 99%

“…The interest in Gd 3 Ga 5 O 12 has been renewed recently by several developments. Firstly, a new mean-field approach to the theoretical studies of GGG has been developed for zero magnetic field [4,5]. The theory suggests that at low temperature GGG is on the verge of achieving true LRO [6].…”

Section: Introductionmentioning

confidence: 99%

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Field induced magnetic order in the frustrated magnet gadolinium gallium garnet

Petrenko

Paul

Yethiraj

et al. 2009

J. Phys.: Conf. Ser.

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Gd3Ga5O12, (GGG), has an extraordinary magnetic phase diagram, where no long range order is found down to 25 mK despite ΘCW ≈2 K. However, long range order is induced by an applied field of around 1 T. Motivated by recent theoretical developments and the experimental results for a closely related hyperkagome system, we have performed neutron diffraction measurements on a single crystal sample of GGG in an applied magnetic field. The measurements reveal that the H − T phase diagram of GGG is much more complicated than previously assumed. The application of an external field at low T results in an intensity change for most of the magnetic peaks which can be divided into three distinct sets: ferromagnetic, commensurate antiferromagnetic, and incommensurate antiferromagnetic. The ferromagnetic peaks (e.g. (112), (440) and (220)) have intensities that increase with the field and saturate at high field. The antiferromagnetic reflections have intensities that grow in low fields, reach a maximum at an intermediate field (apart from the (002) peak which shows two local maxima) and then decrease and disappear above 2 T. These AFM peaks appear, disappear and reach maxima in different fields. We conclude that the competition between magnetic interactions and alternative ground states prevents GGG from ordering in zero field. It is, however, on the verge of ordering and an applied magnetic field can be used to crystallise ordered components. The range of ferromagnetic (FM) and antiferromagnetic (AFM) propagation vectors found reflects the complex frustration in GGG.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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Field induced magnetic order in the frustrated magnet gadolinium gallium garnet

Petrenko

Paul

Yethiraj

et al. 2009

J. Phys.: Conf. Ser.

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“…We have computed the spectra using the standard spin model for GGG which assumes that the local moments on each site have S ¼ 7=2 (g ¼ 2) and are described by a Hamiltonian including exchange and dipolar terms [3,5]:…”

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Dispersionless Spin Waves and Underlying Field-Induced Magnetic Order in Gadolinium Gallium Garnet

et al. 2015

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We report the results of neutron scattering on a powder sample of Gd3Ga5O12 at high magnetic fields. We find that in high fields (B 1.8 T) the system is not fully polarized, but has a small canting of the moments induced by the dipolar interaction. We show that the degree of canting is accurately predicted by the standard Hamiltonian which includes the dipolar interaction. The inelastic scattering is dominated at large momentum transfers by a band of almost dispersionless excitations. We show that these correspond to the spin waves localized on ten site rings, expected for a system described by a nearest neighbor interaction, and that the spectrum at high fields B 1.8 T is well-described by a spin wave theory. The phase for fields 1.8 T is characterized by an antiferromagnetic Bragg peak at (210) and an incommensurate peak.

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“…In a theoretical study, 27,28 aiming to relate the sharp features in the GGG neutron scattering pattern 15 with a long-range ordered state, the spin-spin correlations were treated via a mean-field theory and using an Ewald summation method to handle the important dipolar interactions. Tuning the second (J 2 ) and third (J 3 ) n.n.…”

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confidence: 99%

Juxtaposition of spin freezing and long range order in a series of geometrically frustrated antiferromagnetic gadolinium garnets

et al. 2013

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Specific heat measurements in zero magnetic field are presented on a homologous series of geometrically frustrated, antiferromagnetic, Heisenberg garnet systems. Measurements of Gd3Ga5O12, grown with isotopically pure Gd, agree well with previous results on samples with naturally abundant Gd, showing no ordering features. In contrast, samples of Gd3Te2Li3O12 and Gd3Al5O12 are found to exhibit clear ordering transitions at 243 mK and 175 mK respectively. The effects of low level disorder are studied through dilution of Gd 3+ with non-magnetic Y 3+ in Gd3Te2Li3O12. A thorough structural characterization, using X-ray diffraction, is performed on all of the samples studied. We discuss possible explanations for such diverse behavior in very similar systems.

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Ill-behaved convergence of a model of the Gd₃Ga₅O₁₂garnet antiferromagnet with truncated magnetic dipole–dipole interactions

Cited by 7 publications

References 15 publications

Field induced magnetic order in the frustrated magnet gadolinium gallium garnet

Field induced magnetic order in the frustrated magnet gadolinium gallium garnet

Dispersionless Spin Waves and Underlying Field-Induced Magnetic Order in Gadolinium Gallium Garnet

Juxtaposition of spin freezing and long range order in a series of geometrically frustrated antiferromagnetic gadolinium garnets

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