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The spin ice materials, including Ho2Ti2O7 and Dy2Ti2O7, are rare earth pyrochlore magnets which, at low temperatures, enter a constrained paramagnetic state with an emergent gauge freedom. Remarkably, the spin ices provide one of very few…

Strongly Correlated Electrons · Physics 2014-07-29 Michel J. P. Gingras , Paul A. McClarty

We study the finite temperature properties of the candidate quantum spin ice material Yb$_2$Ti$_2$O$_7$ within the framework of an anisotropic nearest-neighbor spin $1/2$ model on the pyrochlore lattice. Using a combination of finite…

Strongly Correlated Electrons · Physics 2018-05-21 Hitesh J. Changlani

Pyrochlore magnets are candidates for spin-ice behavior. We present theoretical simulations of relevance for the pyrochlore family R2Ti2O7 (R= rare earth) supported by magnetothermal measurements on selected systems. By considering long…

Statistical Mechanics · Physics 2009-10-31 R. Siddharthan , B. S. Shastry , A. P. Ramirez , A. Hayashi , R. J. Cava , S. Rosenkranz

Recent experiments suggest that the Ising pyrochlore magnets ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$ display qualitative properties of the spin ice model proposed by Harris {\it et al.} \prl {\bf 79}, 2554 (1997). We discuss…

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

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

Pyrochlore materials are characterized by their hallmark network of corner-sharing rare-earth tetrahedra, which can produce a wide array of complex magnetic ground states. Ferromagnetic Ising pyrochlores often obey the "two-in-two-out" spin…

The magnetic pyrochlore oxide materials of general chemical formula R2Ti2O7 and R2Sn2O7 (R = rare earth) display a host of interesting physical behaviours depending on the flavour of rare earth ion. These properties depend on the value of…

Statistical Mechanics · Physics 2015-06-24 Adrian G. Del Maestro , Michel J. P. Gingras

The pyrochlore material $\rm Ho_{2}Ti_{2}O_{7}$ has been suggested to show ``spin ice'' behaviour. We present neutron scattering and specific heat results that establish unambiguously that Ho$_2$Ti$_2$O$_7$ exhibits spin ice correlations at…

Recent work has highlighted remarkable effects of classical thermal fluctuations in the dipolar spin ice compounds, such as "artificial magnetostatics", manifesting as Coulombic power-law spin correlations and particles behaving as…

Strongly Correlated Electrons · Physics 2011-10-11 Kate A. Ross , Lucile Savary , Bruce D. Gaulin , Leon Balents

The origin of the lowest-temperature anomaly reported several years ago using a polycrystalline sample of the spin ice compound Dy2Ti2O7 had remained unresolved. Here we finally clarify its origin by susceptibility measurements down to 65…

Strongly Correlated Electrons · Physics 2009-11-11 Ryuji Higashinaka , Yoshiteru Maeno

We use numerical linked cluster (NLC) expansions to compute the specific heat, C(T), and entropy, S(T), of a quantum spin ice model of Yb2Ti2O7 using anisotropic exchange interactions recently determined from inelastic neutron scattering…

Strongly Correlated Electrons · Physics 2012-10-11 R. Applegate , N. R. Hayre , R. R. P. Singh , T. Lin , A. G. R. Day , M. J. P. Gingras

The "spin ice" state found in the rare earth pyrochlore magnets Ho2Ti2O7 and Dy2Ti2O7 offers a beautiful realisation of classical magnetostatics, complete with magnetic monopole excitations. It has been suggested that in "quantum spin ice"…

Strongly Correlated Electrons · Physics 2015-06-04 Owen Benton , Olga Sikora , Nic Shannon

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

The spin ice materials Ho$_{2}$Ti$_{2}$O$_{7}$ and Dy$_{2}$Ti$_{2}$O$_{7}$ are by now perhaps the best-studied classical frustrated magnets. A crucial step towards the understanding of their low temperature behaviour -- both regarding their…

Strongly Correlated Electrons · Physics 2019-08-14 Bruno Tomasello , Claudio Castelnovo , Roderich Moessner , Jorge Quintanilla

The intrinsic noncollinear spin patterns in rare-earth pyrochlore are physically interesting, hosting many emergent properties, e.g. spin ice and monopole-type excitation. Recently, the magnetic monopole excitation of spin ice systems was…

Materials Science · Physics 2015-12-18 Lin Lin , Y. L. Xie , J. -J. Wen , Shuai Dong , Z. B. Yan , J. -M. Liu

The Tb$_2$Ti$_2$O$_7$ pyrochlore magnetic material is attracting much attention for its {\em spin liquid} state, failing to develop long range order down to 50 mK despite a Curie-Weiss temperature $\theta_{\rm CW} \sim -14$ K. In this paper…

Statistical Mechanics · Physics 2007-05-23 Hamid R. Molavian , Michel J. P. Gingras , Benjamin Canals

Tb2Ti2O7 is a pyrochlore antiferromagnet that has dynamical spins and only short-range correlations even at 50 mK; the lowest temperature explored so far, which is much smaller than the scale set by the Curie-Weiss temperature T_{CW}~14 K.…

Statistical Mechanics · Physics 2009-12-16 Hamid R. Molavian , Paul A. McClarty , Michel J. P. Gingras

Frustration in magnetic interactions can give rise to disordered ground states with subtle and beautiful properties. The spin ices Ho2Ti2O7 and Dy2Ti2O7 exemplify this phenomenon, displaying a classical spin liquid state, with…

Strongly Correlated Electrons · Physics 2017-12-11 Mathieu Taillefumier , Owen Benton , Han Yan , L. D. C. Jaubert , Nic Shannon

Magnetization and susceptibility studies on single crystals of the pyrochlore Ho$_{2}$Ti$_{2}$O$_{7}$ are reported for the first time. Magnetization isotherms are shown to be qualitatively similar to that predicted by the nearest neighbor…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. L. Cornelius , J. S. Gardner

A quantum spin liquid is a novel state of matter characterized by quantum entanglement and the absence of any broken symmetry. In condensed matter, the frustrated rare-earth pyrochlore magnets Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$,…

Strongly Correlated Electrons · Physics 2017-04-05 E. Kermarrec , J. Gaudet , K. Fritsch , R. Khasanov , Z. Guguchia , C. Ritter , K. A. Ross , H. A. Dabkowska , B. D. Gaulin
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