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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

The family of magnetic rare-earth pyrochlore oxides R2M2O7 plays host to a diverse array of exotic phenomena, driven by the interplay between geometrical frustration and spin-orbit interaction, which leads to anisotropy in both magnetic…

Strongly Correlated Electrons · Physics 2017-03-21 Han Yan , Owen Benton , Ludovic D. C. Jaubert , Nic Shannon

Pyrochlores offer an ideal playground to investigate the magnetic ground state of frustrated magnetic systems. In this class of materials, competition between various magnetic interactions remains frustrated and prevents an ordered magnetic…

Strongly Correlated Electrons · Physics 2022-10-06 Karan Singh , Dheeraj Ranaut , G. Sharma , K. Mukherjee

Geometrical frustration is a central challenge in contemporary condensed matter physics, a crucible favourable to the emergence of novel physics. The pyrochlore magnets, with rare earth magnetic moments localized at the vertices of…

Strongly Correlated Electrons · Physics 2015-05-30 Sylvain Petit , Pierre Bonville , Isabelle Mirebeau , Hannu Mutka , Julien Robert

Rare-earth pyrochlores are known to exhibit exotic magnetic phenomena. We report a study of crystal growth and characterizations of a new rare-earth compound Er$_2$AlSbO$_7$, in which Al$^{3+}$ and Sb$^{5+}$ ions share the same positions…

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

Extensive experimental investigations of the magnetic structures and excitations in the XY pyrochlores have been carried out over the last decade. Three families of XY pyrochlores have emerged: Yb$_2B_2$O$_7$, Er$_2B_2$O$_7$, and, most…

Strongly Correlated Electrons · Physics 2020-09-14 Alannah M. Hallas , Jonathan Gaudet , Bruce D. Gaulin

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

Within the past 20 years or so, there has occurred an explosion of interest in the magnetic behavior of pyrochlore oxides of the type $A_{2}^{3+}$$B_{2}^{4+}$O$_{7}$ where $A$ is a rare-earth ion and $B$ is usually a transition metal. Both…

Disordered Systems and Neural Networks · Physics 2010-01-26 Jason S. Gardner , Michel J. P. Gingras , John E. Greedan

If magnetic frustration is most commonly known for undermining long-range order, as famously illustrated by spin liquids, the ability of matter to develop new collective mechanisms in order to fight frustration is no less fascinating,…

Strongly Correlated Electrons · Physics 2015-12-31 L. D. C. Jaubert , Owen Benton , Jeffrey G. Rau , J. Oitmaa , R. R. P. Singh , Nic Shannon , Michel J. P. Gingras

The low temperature magnetic properties of pyrochlore compound Dy2Ti2O7 in magnetic fields applied along the [111] direction are reported. Below 1 K, a clear plateau has been observed in the magnetization process in the field range 2~9 kOe,…

Materials Science · Physics 2009-11-07 Kazuyuki Matsuhira , Zenji Hiroi , Takashi Tayama , Seishi Takagi , Toshiro Sakakibara

Er2Ti2O7 is believed to be a realization of an XY antiferromagnet on a frustrated lattice of corner-sharing regular tetrahedra. It is presented as an example of the order-by-disorder mechanism in which fluctuations lift the degeneracy of…

Strongly Correlated Electrons · Physics 2012-09-28 P. Dalmas de Reotier , A. Yaouanc , Y. Chapuis , S. H. Curnoe , B. Grenier , E. Ressouche , C. Marin , J. Lago , C. Baines , S. R. Giblin

The recent discovery of Spin-ice is a spectacular example of non-coplanar spin arrangements that can arise in the pyrochlore A2B2O7 structure. We present magnetic and thermodynamic studies on the metallic-ferromagnet pyrochlore Sm2Mo2O7.…

Strongly Correlated Electrons · Physics 2009-11-13 Surjeet Singh , R. Suryanarayanan , R. Tackett , G. Lawes , A. K. Sood , P. Berthet , A. Revcolevschi

The recent discoveries of proximate quantum spin-liquid compounds and their potential application in quantum computing informs the search for new candidate materials for quantum spin-ice and spin-liquid physics. While the majority of such…

Strongly Correlated Electrons · Physics 2019-01-16 K. M. Taddei , L. Sanjeewa , J. W. Kolis , A. S. Sefat , C. de la Cruz , D. M. Pajerowski

The interplay of spin-orbit interactions and electronic correlations dominates the physical properties of pyrochlore iridates, R2Ir2O7 (R = Y, rare earth element), which are typically magnetic insulators. We report an…

Strongly Correlated Electrons · Physics 2015-06-03 T. F. Qi , O. B. Korneta , Xiangang Wan , L. E. DeLong , P. Schlottmann , G. Cao

We report detailed measurements of the low temperature magnetic phase diagram of Er$_2$Ti$_2$O$_7$. Heat capacity and time-of-flight neutron scattering studies of single crystals, subject to magnetic fields applied along the…

Strongly Correlated Electrons · Physics 2012-07-16 J. P. C. Ruff , J. P. Clancy , A. Bourque , M. A. White , M. Ramazanoglu , J. S. Gardner , Y. Qiu , J. R. D. Copley , H. A. Dabkowska , B. D. Gaulin

The pyrochlore materials have long been predicted to harbor a quantum spin liquid, an intrinsic long-range-entangled state supporting fractionalized excitations. Existing pyrochlore experiments, on the other hand, have discovered several…

Strongly Correlated Electrons · Physics 2019-08-19 Chunxiao Liu , Gábor B. Halász , Leon Balents

Motivated by recent experimental and theoretical progress on the Er2Ti2O7 pyrochlore XY antiferromagnet, we study the problem of quantum order-by-disorder in pyrochlore XY systems. We consider the most general nearest-neighbor pseudo…

Strongly Correlated Electrons · Physics 2013-11-15 Anson W. C. Wong , Zhihao Hao , Michel J. P. Gingras

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

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
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