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Around 0.5 K, the entropy of the spin-ice Dy$_2$Ti$_2$O$_7$ 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…

Strongly Correlated Electrons · Physics 2017-09-04 S. Scharffe , O. Breunig , V. Cho , P. Laschitzky , M. Valldor , J. F. Welter , T. Lorenz

Recent experiments on the spin-ice material Dy2Ti2O7 suggest that the Pauling "ice entropy", characteristic of its classical Coulombic spin-liquid state, may be lost at low temperatures [D. Pomaranski et al., Nature Phys. 9, 353 (2013)].…

Strongly Correlated Electrons · Physics 2015-09-16 Paul McClarty , Olga Sikora , Roderich Moessner , Karlo Penc , Frank Pollmann , Nic Shannon

The low temperature entropy of the the spin ice compounds, such as Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$, is well described by the nearest-neighbor antiferromagnetic Ising model on the pyrochlore lattice, i.e.\ by the ``ice rules''. This…

Statistical Mechanics · Physics 2007-05-23 S. V. Isakov , R. Moessner , S. L. Sondhi

The residual entropy of spin ice and other frustrated magnets is a property of considerable interest, yet the usual way of determining it, by integrating the heat capacity, is generally ambiguous. Here we note that a straightforward…

Strongly Correlated Electrons · Physics 2013-08-07 L. Bovo , S. T. Bramwell

The thermal equilibrium properties of the spin-ice material DTO, including specific heat, magnetization, and spin correlations, could be successfully reproduced by a model featuring magnetic interactions up to the third nearest neighbor and…

Strongly Correlated Electrons · Physics 2025-04-14 Mariano Marziali Bermudez , R. A. Borzi , D. A. Tennant , S. A. Grigera

Water ice and spin ice are important model systems in which theory can directly account for zero point entropy associated with quenched configurational disorder. Spin ice differs from water ice in the important respect that its fundamental…

Strongly Correlated Electrons · Physics 2009-11-13 X. Ke , R. S. Freitas , B. G. Ueland , G. C. Lau , M. L. Dahlberg , R. J. Cava , R. Moessner , P. Schiffer

Spin ice materials, such as Dy2Ti2O7 and Ho2Ti2O7, have been the subject of much interest for over the past fifteen years. Their low temperature strongly correlated state can be mapped onto the proton disordered state of common water ice…

Statistical Mechanics · Physics 2015-03-24 T. Lin , X. Ke , M. Thesberg , P. Schiffer , R. G. Melko , M. J. P. Gingras

Neutron scattering, a.c. magnetic susceptibility and specific heat studies have been carried out on polycrystalline Dy2Zr2O7. Unlike the pyrochlore spin ice Dy2Ti2O7, Dy2Zr2O7 crystallizes into the fluorite structure and the magnetic Dy3+…

Disordered Systems and Neural Networks · Physics 2019-07-01 J. G. A. Ramon , C. W. Wang , L. Ishida , P. L. Bernardo , M. M. Leite , F. M. Vichi , J. S. Gardner , R. S. Freitas

Recently it has been suggested that long range magnetic dipolar interactions are responsible for spin ice behavior in the Ising pyrochlore magnets ${\rm Dy_{2}Ti_{2}O_{7}}$ and ${\rm Ho_{2}Ti_{2}O_{7}}$. We report here numerical results on…

Disordered Systems and Neural Networks · Physics 2009-10-31 Roger G. Melko , Byron C. den Hertog , Michel J. P. Gingras

The magnetocaloric effect of polycrystalline samples of pure and Y-doped dipolar spin ice Dy2Ti2O7 was investigated at temperatures from nominally 0.3 K to 6 K and in magnetic fields of up to 2 T. As well as being of intrinsic interest, it…

Soft Condensed Matter · Physics 2015-06-25 M. Orendac , J. Hanko , E. Cizmar , A. Orendacova , M. Shirai , S. T. Bramwell

Spin ices, frustrated magnetic materials analogous to common water ice, are exemplars of high frustration in three dimensions. Recent experimental studies of the low-temperature properties of the paradigmatic Dy$_2$Ti$_2$O$_7$ spin ice…

Statistical Mechanics · Physics 2016-01-19 P. Henelius , T. Lin , M. Enjalran , Z. Hao , J. G. Rau , J. Altosaar , F. Flicker , T. Yavors'kii , M. J. P. Gingras

We herein present the spin freezing dynamics of stuffed polycrystalline compound Dy$_2$Ti$_{1.8}$Mn$_{0.2}$O$_7$. In Dy$_2$Ti$_2$O$_7$, spin freezes with ice-like spin relaxations at a temperature around 3 K (T$_i$) along with another spin…

Materials Science · Physics 2022-05-10 Rajnikant Upadhyay , Manjari Shukla , Rachana Sain , Martin Tolkiehn , Chandan Upadhyay

We present a detailed theoretical overview of the thermodynamic properties of the dipolar spin ice model, which has been shown to be an excellent quantitative descriptor of the Ising pyrochlore materials Dy_2Ti_2O_7 and Ho_2Ti_2O_7. We show…

Disordered Systems and Neural Networks · Physics 2015-06-24 Roger G. Melko , Matthew Enjalran , Byron C. den Hertog , Michel. J. P. Gingras

The third law of thermodynamics dictates that the entropy of a system in thermal equilibrium goes to zero as its temperature approaches absolute zero. In ice, however, a "zero point" or residual entropy can be measured - attributable to a…

Strongly Correlated Electrons · Physics 2015-06-25 G. C. Lau , R. S. Freitas , B. G. Ueland , B. D. Muegge , E. L. Duncan , P. Schiffer , R. J. Cava

Dy2Ti2O7 has been advanced as an ideal spin ice. We present a neutron scattering investigation of a sample of 162Dy2Ti2O7. The scattering intensity has been mapped in zero applied field in the hhl and hk0 planes at temperatures between 0.05…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Fennell , O. A. Petrenko , B. Fak , S. T. Bramwell , M. Enjalran , T. Yavors'kii , M. J. P. Gingras , R. G. Melko , G. Balakrishnan

Excitations in a spin ice behave as magnetic monopoles, and their population and mobility control the dynamics of a spin ice at low temperature. CdEr$_2$Se$_4$ is reported to have the Pauling entropy characteristic of a spin ice, but its…

The recent identification of the dysprosium titanate compound $Dy_2 Ti_2 O_7$ as a ``Spin-Ice'', i.e. the spin analog of regular entropic ice of Pauling, has created considerable excitement. The ability to manipulate spins using magnetic…

Statistical Mechanics · Physics 2009-11-07 B. Sriram Shastry

We have studied spin relaxation in the spin ice compound Dy2Ti2O7 through measurements of the a.c. magnetic susceptibility. While the characteristic spin relaxation time is thermally activated at high temperatures, it becomes almost…

Materials Science · Physics 2009-11-10 J. Snyder , B. G. Ueland , J. S. Slusky , H. Karunadasa , R. J. Cava , Ari Mizel , P. Schiffer

We have studied the spin dynamics of a high-mobility two-dimensional electron system in a GaAs/Al_{0.3}Ga_{0.7}As single quantum well by time-resolved Faraday rotation and time-resolved Kerr rotation in dependence on the initial degree of…

Materials Science · Physics 2011-11-10 D. Stich , J. Zhou , T. Korn , R. Schulz , D. Schuh , W. Wegscheider , M. W. Wu , C. Schüller

We introduce two simple models with nearest neighbor interactions on 3D hexagonal lattices. Each model allows one to calculate the residual entropy of ice I (ordinary ice) by means of multicanonical simulations. This gives the correction to…

Statistical Mechanics · Physics 2013-05-29 Bernd A. Berg , Chizuru Muguruma , Yuko Okamoto
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