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Elastic neutron scattering, ac susceptibility, and specific heat experiments on the pyrochlores Er$_{2}$Ge$_{2}$O$_{7}$ and Yb$_{2}$Ge$_{2}$O$_{7}$ show that both systems are antiferromagnetically ordered in the $\Gamma_5$ manifold. The…

Strongly Correlated Electrons · Physics 2015-10-12 Z. L. Dun , X. Li , R. S. Freitas , E. Arrighi , C. R. Dela Cruz , M. Lee , E. S. Choi , H. B. Cao , H. J. Silverstein , C. R. Wiebe , J. G. Cheng , H. D. Zhou

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

The search for new quantum phases, especially in frustrated magnets, is central to modern condensed matter physics. One of the most promising places to look is in rare-earth pyrochlore magnets with highly-anisotropic exchange interactions,…

Strongly Correlated Electrons · Physics 2017-03-29 Han Yan , Owen Benton , Ludovic D. C. Jaubert , Nic Shannon

We have carried out a systematic study of the crystal electric field excitations in the family of cubic pyrochlores Er$_2B_2$O$_7$, with $B=$~Ti, Ge, Pt, and Sn, using neutron spectroscopy. All members of this family are magnetic insulators…

Strongly Correlated Electrons · Physics 2018-01-24 J. Gaudet , A. M. Hallas , A. I. Kolesnikov , B. D. Gaulin

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

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

We study magnetic behaviour of the Yb$^{3+}$ ions on a frustrated pyrochlore lattice in the spinel {\CYS}. The crystal-electric field parameters deduced from high-energy inelastic neutron scattering reveal well-isolated ytterbium ground…

Strongly Correlated Electrons · Physics 2019-09-18 K. Guratinder , Jeffrey G. Rau , V. Tsurkan , C. Ritter , J. Embs , T. Fennell , H. C. Walker , M. Medarde , T. Shang , A. Cervellino , Ch. Rüegg , O. Zaharko

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

Examples of materials where an "order by disorder" mechanism is at play to select a particular ground state are scarce. It has recently been proposed, however, that the antiferromagnetic XY pyrochlore Er2Ti2O7, reveals a most convincing…

Strongly Correlated Electrons · Physics 2015-06-23 S. Petit , J. Robert , S. Guitteny , P. Bonville , C. Decorse , J. Ollivier , H. Mutka , M. J. P. Gingras , I. Mirebeau

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

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 very nature of the ground state of the pyrochlore compound Yb$_2$Ti$_2$O$_7$ is much debated, as experimental results demonstrate evidence for both a disordered or a long-range ordered ground state. Indeed, the delicate balance of…

Strongly Correlated Electrons · Physics 2014-05-13 E. Lhotel , S. R. Giblin , M. R. Lees , G. Balakrishnan , L. J. Chang , Y. Yasui

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…

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

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

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

We investigate the properties of the XY pyrochlore antiferromagnet with local <111> planar anisotropy. We find the ground states and show that the configurational ground state entropy is subextensive. By computing the free energy due to…

Statistical Mechanics · Physics 2014-04-11 Pawel Stasiak , Paul A. McClarty , Michel J. P. Gingras

Using $\rm Er_2Ti_2O_7$ as a motivation, we investigate finite-field properties of $XY$ pyrochlore antiferromagnets. In addition to a fluctuation-induced six-fold anisotropy present in zero field, an external magnetic field induces a…

Strongly Correlated Electrons · Physics 2016-06-20 V. S. Maryasin , M. E. Zhitomirsky , R. Moessner

There are reasons to believe that the ground state of the magnetic rare earth pyrochlore Yb$_2$Ti$_2$O$_7$ is on the boundary between competing ground states. We have carried out $\mathrm{\textit{ab initio}}$ density functional calculations…

Strongly Correlated Electrons · Physics 2018-06-20 Soham S. Ghosh , Efstratios Manousakis

The pyrochlore magnet $\rm Yb_2Ti_2O_7$ has been proposed as a quantum spin ice candidate, a spin liquid state expected to display emergent quantum electrodynamics with gauge photons among its elementary excitations. However, $\rm…

Strongly Correlated Electrons · Physics 2018-06-20 Gabriele Sala , Dalini D. Maharaj , Matthew B. Stone , Hanna A. Dabkowska , Bruce D. Gaulin
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