Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy2Ti2O7 Studied by Heat Transport

Scharffe, Simon; Kolland, Gerhard; Hiertz, M.; Valldor, Martin; Lorenz, T.

doi:10.7566/jpscp.3.014030

Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013) 2014

DOI: 10.7566/jpscp.3.014030

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Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy₂Ti₂O₇ Studied by Heat Transport

Simon Scharffe¹,

Gerhard Kolland²,

M. Hiertz³

et al.

Abstract: The low-temperature thermal conductivity κ of the spin-ice compound Dy 2 Ti 2 O 7 shows pronounced hysteresis as a function of magnetic field. Here, we investigate how these hysteresis effects depend on temperature, the magnetic-field direction, the rate of magnetic-field change, and on the direction of the heat current. In addition, the time-dependent relaxation of the heat conductivity is investigated. These measurements yield information about possible equilibrium states and reveal that in the lowfield and … Show more

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Cited by 2 publications

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References 23 publications

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“…Experimental evidence for Pauling's residual entropy in spin-ice systems stems from specific heat measurements [17][18][19][20] reporting a practically temperatureindependent entropy S ex (T ≈ 0.4 K) ≃ S P . More recently, however, extremely slow relaxation phenomena were observed for Dy 2 Ti 2 O 7 in low-temperature measurements of, e.g., the magnetization [21,22], ac susceptibility [23], thermal transport [24,25] or the specific heat [24,26,27]. Typically, these phenomena set in below ≈ 0.6 K and signal strongly increasing timescales for the internal thermal equilibration.…”

mentioning

confidence: 99%

“…More recently, however, extremely slow relaxation phenomena were observed for Dy 2 Ti 2 O 7 in low-temperature measurements of, e.g., the magnetization [21,22], ac susceptibility [23], thermal transport [24,25] or the specific heat [24,26,27]. Typically, these phenomena set in below ≈ 0.6 K and signal strongly increasing timescales for the internal thermal equilibration.…”

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confidence: 99%

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Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2
Scharffe
¹
,
Breunig
²
,
Cho
³

et al. 2015
Phys. Rev. B

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Around 0.5 K, the entropy of the spin-ice Dy2Ti2O7 has a plateau-like feature close to Pauling's residual entropy derived originally for water ice, but an unambiguous quantification towards lower temperature is prevented by ultra-slow thermal equilibration. Based on specific heat data of (Dy1-xYx)2Ti2O7 we analyze the influence of non-magnetic dilution on the low-temperature entropy. With increasing x, the ultra-slow thermal equilibration rapidly vanishes, the low-temperature entropy systematically decreases and its temperature dependence strongly increases. These data suggest that a non-degenerate ground state is realized in (Dy1-xYx)2Ti2O7 for intermediate dilution.This contradicts the expected zero-temperature residual entropy obtained from a generalization of Pauling's theory for dilute spin ice, but is supported by Monte Carlo simulations. Spin-ice materials attract lots of attention due to their exotic ground state and anomalous excitations [1][2][3][4][5][6][7][8], which arise from a geometric frustration of the magnetic interactions that prevents long-range magnetic order. Prototype spin-ice materials are the pyrochlores R 2 Ti 2 O 7 with Dy or Ho as R 3+ ions, which form a network of corner-sharing tetrahedra. The crystal electric field causes a strong Ising anisotropy with local quantization axes pointing from each corner of a tetrahedron to its center. Thus, each magnetic moment is restricted to one of the {111} directions and may point only either into or out of the tetrahedron. The energy of antiferromagnetic exchange and dipole-dipole interactions is minimized when two spins point into and the other two point out of each tetrahedron. This '2in/2out' ground state is 6-fold degenerate and fulfills Pauling's ice rule describing the hydrogen displacement in water ice with the residual entropy S P = (N A k B /2) ln(3/2) [9,10]. Excitations are created by single spin flips resulting in pairs of tetrahedra with '3in/1out' and '1in/3out' configurations. As a consequence of the ground-state degeneracy, each pair fractionalizes into two individual excitations that can be described as magnetic (anti-)monopoles propagating independently through the lattice [3,4,11,12]. The dynamics of these monopole excitations is subject of intense research [5,[13][14][15][16].Experimental evidence for Pauling's residual entropy in spin-ice systems stems from specific heat measurements [17][18][19][20] reporting a practically temperatureindependent entropy S ex (T ≈ 0.4 K) ≃ S P . More recently, however, extremely slow relaxation phenomena were observed for Dy 2 Ti 2 O 7 in low-temperature measurements of, e.g., the magnetization [21,22], ac susceptibility [23], thermal transport [24,25] or the specific heat [24,26,27]. Typically, these phenomena set in below ≈ 0.6 K and signal strongly increasing timescales for the internal thermal equilibration. Therefore, the specificheat values obtained by standard relaxation-time techniques are too low and S ex (T < 0.5 K) < S P was reported for thermally equilibrated Dy 2 Ti 2 O 7 [27]....

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mentioning

confidence: 99%

mentioning

confidence: 99%

Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2
Scharffe
¹
,
Breunig
²
,
Cho
³

et al. 2015
Phys. Rev. B

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Low-temperature thermal transport measurements of oxygen-annealed Yb2Ti2O7

et al. 2020

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Low temperature thermal conductivity measurements have been conducted on an oxygen annealed single crystal of Yb2Ti2O7 from 60 mK to 50 K and in magnetic fields up to 8 T applied in the [111] crystallographic direction. The temperature dependence of the conductivity in zero field shows a significant peak in thermal conductivity at T ∼ 13 K and a sharp anomaly at Tc ∼ 0.2 K suggesting that the sample's behaviour is representative of the high-purity limit, with low levels of disorder. The magnetic field dependence of the thermal conductivity close to Tc reveals a re-entrant magnetic phase for a field in the [111] direction. With this new information, analysis of the very low magnetic field behaviour of the thermal conductivity suggests the presence of significant fluctuations close to the phase line.

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Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy₂Ti₂O₇ Studied by Heat Transport

Cited by 2 publications

References 23 publications

Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2
Scharffe
¹
,
Breunig
²
,
Cho
³

et al. 2015
Phys. Rev. B

Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2
Scharffe
¹
,
Breunig
²
,
Cho
³

et al. 2015
Phys. Rev. B

Low-temperature thermal transport measurements of oxygen-annealed Yb2Ti2O7

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Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy2Ti2O7 Studied by Heat Transport

Cited by 2 publications

References 23 publications

Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2Scharffe1, Breunig2, Cho3 et al. 2015Phys. Rev. B

Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2Scharffe1, Breunig2, Cho3 et al. 2015Phys. Rev. B

Low-temperature thermal transport measurements of oxygen-annealed Yb2Ti2O7

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Product

Resources

About

Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy₂Ti₂O₇ Studied by Heat Transport

Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2
Scharffe
¹
,
Breunig
²
,
Cho
³

et al. 2015
Phys. Rev. B

Suppression of Pauling's residual entropy in the dilute spin ice(Dy1−xYx)2Ti2
Scharffe
¹
,
Breunig
²
,
Cho
³

et al. 2015
Phys. Rev. B