Thermal Relaxation and Heat Transport in the Spin Ice Material Dy2Ti2O7

Klemke, Bastian; Meissner, M.; Strehlow, Peter; Kiefer, K.; Grigera, S. A.; Tennant, A.

doi:10.1007/s10909-011-0348-y

Cited by 47 publications

(74 citation statements)

References 19 publications

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“…4 A and B). Also, whereas the Curie-Weiss temperature T CW ∼ 1.2 K (16) implies a tendency toward ferromagnetic order, no ordering is observed and, instead, a broad peak in specific heat C(T) appears just below T CW (18)(19)(20)(21)(22); this is as expected for a supercooled liquid (Fig. 1A and refs.…”

Section: Conclusion and Discussionsupporting

confidence: 55%

Supercooled spin liquid state in the frustrated pyrochlore Dy ₂ Ti ₂ O ₇

Kassner

Eyvazov

Pichler

et al. 2015

Proc. Natl. Acad. Sci. U.S.A.

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A "supercooled" liquid develops when a fluid does not crystallize upon cooling below its ordering temperature. Instead, the microscopic relaxation times diverge so rapidly that, upon further cooling, equilibration eventually becomes impossible and glass formation occurs. Classic supercooled liquids exhibit specific identifiers including microscopic relaxation times diverging on a Vogel-TammannFulcher (VTF) trajectory, a Havriliak-Negami (HN) form for the dielectric function e(ω, T ), and a general Kohlrausch-Williams-Watts (KWW) form for time-domain relaxation. Recently, the pyrochlore Dy 2 Ti 2 O 7 has become of interest because its frustrated magnetic interactions may, in theory, lead to highly exotic magnetic fluids. However, its true magnetic state at low temperatures has proven very difficult to identify unambiguously. Here, we introduce highprecision, boundary-free magnetization transport techniques based upon toroidal geometries and gain an improved understanding of the time-and frequency-dependent magnetization dynamics of Dy 2 Ti 2 O 7 . We demonstrate a virtually universal HN form for the magnetic susceptibility χ (ω, T ), a general KWW form for the realtime magnetic relaxation, and a divergence of the microscopic magnetic relaxation rates with the VTF trajectory. Low-temperature Dy 2 Ti 2 O 7 therefore exhibits the characteristics of a supercooled magnetic liquid. One implication is that this translationally invariant lattice of strongly correlated spins may be evolving toward an unprecedented magnetic glass state, perhaps due to many-body localization of spin.spin liquid | supercooled liquids | magnetic dynamics | periodic boundaries C ooling a pure liquid usually results in crystallization via a first-order phase transition. However, in glass-forming liquids when the cooling is sufficiently rapid, a metastable "supercooled" state is achieved instead (1-3). Here, the microscopic relaxation times diverge until equilibration of the system is no longer possible at a given cooling rate. At this juncture there is generally a broad peak in the specific heat preceding the glass transition, at which no symmetry-breaking phase transition occurs (Fig. 1A). The antecedent fluid exhibits a set of phenomena characteristic of the supercooled liquid state (1-3). For example, the divergence of microscopic relaxation times τ 0 ðTÞ typically shows substantial departures from Arrhenius behavior [τ 0 ðTÞ = AexpðΔ=kTÞ and, instead, is described characteristically using the Vogel-Tammann-Fulcher (VTF) form (4)Here, T 0 is a temperature at which the relaxation time diverges to ∞ while D characterizes the extent of the super-Arrhenius behavior (Fig. 1B). One way to establish τ 0 ðTÞ is by measuring the characteristic frequency ω 0 ðTÞ = 1=τ 0 ðTÞ of peaks in the dissipative (imaginary) component of the dielectric function «ðω, TÞ.For classic supercooled liquids, «ðω, TÞ generally exhibits the Havriliak-Negami (HN) form (5, 6) «ðω,[2]Here, the exponents α and γ describe, respectively, the broadening and asymmetry of the rela...

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Section: Conclusion and Discussionsupporting

confidence: 55%

Supercooled spin liquid state in the frustrated pyrochlore Dy ₂ Ti ₂ O ₇

Kassner

Eyvazov

Pichler

et al. 2015

Proc. Natl. Acad. Sci. U.S.A.

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“…This results in a complete suppression of κ mag for rather small magnetic fields of ∼ 0.5 T. An alternative interpretation had been proposed earlier in Ref. 19, where the thermal conductivity was assumed to be purely phononic and the field dependence of κ was attributed to phonon scattering on magnetic excitations. Our data, however, do not support this interpretation (cf.…”

Section: Introductionsupporting

confidence: 51%

Anisotropic heat transport via monopoles in the spin-ice compound Dy2Ti2O7

et al. 2013

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We report a study of the thermal conductivity κ of the spin-ice material Dy2Ti2O7. From the anisotropic magnetic-field dependence of κ and by additional measurements on the phononic reference compounds Y2Ti2O7 and (Dy0.5Y0.5)2Ti2O7, we are able to separate the phononic and the magnetic contributions to the total heat transport, i.e. κ ph and κmag, respectively, which both depend on the magnetic field. The field dependent κ ph (B) arises from lattice distortions due to magnetic-field induced torques on the non-collinear magnetic moments of the Dy ions. For κmag, we observe a highly anisotropic magnetic-field dependence, which correlates with the corresponding magnetization data reflecting the different magnetic-field induced spin-ice ground states. The magnitude of κmag increases with the degree of the ground-state degeneracy. This anisotropic field dependence as well as various hysteresis effects suggest that κmag is essentially determined by the mobility of the magnetic monopole excitations in spin ice.

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“…At very low temperatures, inside the spin ice phase, the residual spin dynamics persists mostly due to the mixture of electron and nuclear energy levels. Spin dynamics in spin ices persists down to lowest temperatures, which fact is observed by several experimental techniques [158,160,162,163,164,165,166,167,168,169,170,171,172,173,174,176]. Magneto-caloric studies of Dy 2 Ti 2 O 7 revealed extremely slow relaxation [177].…”

Section: Dynamics Of Spin Icesmentioning

confidence: 82%

New physics in frustrated magnets: Spin ices, monopoles, etc. (Review Article)

Zvyagin

2013

Low Temperature Physics

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During recent years the interest to frustrated magnets has grown considerably. Such systems reveal very peculiar properties which distinguish them from standard paramagnets, magnetically ordered regular systems (like ferro-, ferri-, and antiferromagnets), or spin glasses. In particular great amount of attention has been devoted to the socalled spin ices, in which magnetic frustration together with the large value of the single-ion magnetic anisotropy of a special kind, yield peculiar behavior. One of the most exciting features of spin ices is related to low-energy emergent excitations, which, from many viewpoints can be considered as analogies of Dirac's monopoles. In this article we review the main achievements of theory and experiment in this field of physics.

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Thermal Relaxation and Heat Transport in the Spin Ice Material Dy2Ti2O7

Cited by 47 publications

References 19 publications

Supercooled spin liquid state in the frustrated pyrochlore Dy ₂ Ti ₂ O ₇

Supercooled spin liquid state in the frustrated pyrochlore Dy ₂ Ti ₂ O ₇

Anisotropic heat transport via monopoles in the spin-ice compound Dy2Ti2O7

New physics in frustrated magnets: Spin ices, monopoles, etc. (Review Article)

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Thermal Relaxation and Heat Transport in the Spin Ice Material Dy2Ti2O7

Cited by 47 publications

References 19 publications

Supercooled spin liquid state in the frustrated pyrochlore Dy 2 Ti 2 O 7

Supercooled spin liquid state in the frustrated pyrochlore Dy 2 Ti 2 O 7

Anisotropic heat transport via monopoles in the spin-ice compound Dy2Ti2O7

New physics in frustrated magnets: Spin ices, monopoles, etc. (Review Article)

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Supercooled spin liquid state in the frustrated pyrochlore Dy ₂ Ti ₂ O ₇

Supercooled spin liquid state in the frustrated pyrochlore Dy ₂ Ti ₂ O ₇