Magnetocaloric study of spin relaxation in dipolar spin ice<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Dy</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">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:mrow></mml:math>

Orendáč, M.; Hanko, Jason A.; Čižmár, E.; Orendáčová, A.; Shirai, Masae; Bramwell, S. T.

doi:10.1103/physrevb.75.104425

Cited by 45 publications

(35 citation statements)

References 40 publications

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“…The high temperature behaviour mirrors the known behaviour of the magnetic relaxation time, decreasing with temperature as e constant/T (Ref. 10,19 ). At low temperature λ increases with temperature, consistent with the expected λ ∝ ν ∝ α.…”

Section: Theory Of the Magnetic Wien Effectsupporting

confidence: 74%

Measurement of the charge and current of magnetic monopoles in spin ice

Bramwell¹,

Giblin²,

Calder³

et al. 2009

Nature

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355

385

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Section: Theory Of the Magnetic Wien Effectsupporting

confidence: 74%

Measurement of the charge and current of magnetic monopoles in spin ice

Bramwell¹,

Giblin²,

Calder³

et al. 2009

Nature

Self Cite

355

385

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“…No long-range ordered state will be favourable in the whole sample. The effect of tensions and distortions could also be intimately related with the experimental observation of freezing or glassy behaviour below temperatures of about 0.6 K35363738.…”

Section: Resultsmentioning

confidence: 86%

Intermediate magnetization state and competing orders in Dy2Ti2O7 and Ho2Ti2O7

et al. 2016

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Among the frustrated magnetic materials, spin-ice stands out as a particularly interesting system. Residual entropy, freezing and glassiness, Kasteleyn transitions and fractionalization of excitations in three dimensions all stem from a simple classical Hamiltonian. But is the usual spin-ice Hamiltonian a correct description of the experimental systems? Here we address this issue by measuring magnetic susceptibility in the two most studied spin-ice compounds, Dy2Ti2O7 and Ho2Ti2O7, using a vector magnet. Using these results, and guided by a theoretical analysis of possible distortions to the pyrochlore lattice, we construct an effective Hamiltonian and explore it using Monte Carlo simulations. We show how this Hamiltonian reproduces the experimental results, including the formation of a phase of intermediate polarization, and gives important information about the possible ground state of real spin-ice systems. Our work suggests an unusual situation in which distortions might contribute to the preservation rather than relief of the effects of frustration.

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“…For example, DSIM simulations do not accurately reproduce the measured χðω, TÞ data at low temperatures (34). Furthermore, below ∼0.5 K macroscopic relaxation rates in Dy 2 Ti 2 O 7 become ultraslow (20,21,30,33,(35)(36)(37); this reflects a divergence of microscopic relaxation times (30,33) that is unexplained quantitatively within the present DSIM/MMSI models. Thus, although Debye-Hückel calculations (28) and DSIM/MMSI simulations (38,39) offer clear improvements over a simple Arrhenius form for τðTÞ, they still significantly underestimate the observed magnitude and rate of increase of τ below 1 K. In fact, as emphasized in a recent review (14), no studies of Dy 2 Ti 2 O 7 have yielded direct and unambiguous evidence of a fluid of delocalized magnetic monopoles.…”

mentioning

confidence: 64%

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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Magnetocaloric study of spin relaxation in dipolar spin iceDy2Ti2O7

Cited by 45 publications

References 40 publications

Measurement of the charge and current of magnetic monopoles in spin ice

Measurement of the charge and current of magnetic monopoles in spin ice

Intermediate magnetization state and competing orders in Dy2Ti2O7 and Ho2Ti2O7

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

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Magnetocaloric study of spin relaxation in dipolar spin iceDy2Ti2O7

Cited by 45 publications

References 40 publications

Measurement of the charge and current of magnetic monopoles in spin ice

Measurement of the charge and current of magnetic monopoles in spin ice

Intermediate magnetization state and competing orders in Dy2Ti2O7 and Ho2Ti2O7

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

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Product

Resources

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