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Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate ground states, and a large suppression of…

Strongly Correlated Electrons · Physics 2007-07-03 Doron Bergman , Jason Alicea , Emanuel Gull , Simon Trebst , Leon Balents

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

$\rm Yb_2Ti_2O_7$ is a celebrated example of a pyrochlore magnet with highly-frustrated, anisotropic exchange interactions. To date, attention has largely focused on its unusual, static properties, many of which can be understood as coming…

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

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

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

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

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

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

We report neutron diffraction measurements of the magnetic structures in two pyrochlore iridates, Yb2Ir2O7 and Lu2Ir2O7. Both samples exhibit the all-in-all-out magnetic structure on the Ir4+ sites below TN~ 150,K, with a low temperature…

We combine two aspects of magnetic frustration, multiferroicity and emergent quasi-particles in spin liquids, by studying magneto-electric monopoles. Spin ice offers to couple these emergent topological defects to external fields, and to…

Strongly Correlated Electrons · Physics 2015-06-24 Ludovic D. C. Jaubert , R. Moessner

Electronic and magnetic properties of molybdenum pyrochlores A2Mo2O7 are studied by the fully relativistic density-functional theory plus on-site repulsion (U) method, with focusing on the spin-glass insulating material Y2Mo2O7. We find…

Strongly Correlated Electrons · Physics 2013-11-27 Hiroshi Shinaoka , Yukitoshi Motome , Takashi Miyake , Shoji Ishibashi

Using 63Cu NMR, we establish that the enhancement of spin order by a magnetic field H in YBa2Cu3O6.45 arises from a competition with superconductivity because the effect occurs for H perpendicular, but not parallel, to the CuO2 planes, and…

Superconductivity · Physics 2013-09-05 T. Wu , H. Mayaffre , S. Krämer , M. Horvatić , C. Berthier , C. T. Lin , D. Haug , T. Loew , V. Hinkov , B. Keimer , M. -H. Julien

Several rare earth magnetic pyrochlore materials are well modeled by a spin-1/2 quantum Hamiltonian with anisotropic exchange parameters Js. For the Er2Ti2O7 material, the Js were recently determined from high-field inelastic neutron…

Strongly Correlated Electrons · Physics 2014-04-11 J. Oitmaa , R. R. P. Singh , A. G. R. Day , B. V. Bagheri , M. J. P. Gingras

We have studied polycrystalline Yb4LiGe4, a ternary variant of the R5T4 family of layered compounds characterized by a very strong coupling between the magnetic and crystallographic degrees of freedom. The system is mixed valent, with…

Strongly Correlated Electrons · Physics 2012-07-11 S. M. Disseler , J. N. Svensson , S. C. Peter , C. P. Byers , C. Baines , A. Amato , S. R. Giblin , P. Carretta , M. J. Graf

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

Frustration in magnetic materials arising from competing exchange interactions can prevent the system from adopting long-range magnetic order and can instead lead to a diverse range of novel quantum and topological states with exotic…

Strongly Correlated Electrons · Physics 2023-11-16 J. Khatua , B. Sana , A. Zorko , M. Gomilšek , K. Sethupathi M. S. Ramachandra Rao , M. Baenitz , B. Schmidt , P. Khuntia

Conclusive evidence of order by disorder is scarce in real materials. Perhaps one of the strongest cases presented has been for the pyrochlore XY antiferromagnet Er2Ti2O7, with the ground state selection proceeding by order by disorder…

Strongly Correlated Electrons · Physics 2016-05-11 Jeffrey G. Rau , Sylvain Petit , Michel J. P. Gingras

Although materials that exhibit nearest-neighbor-only antiferromagnetic interactions and geometrical frustration theoretically should not magnetically order in the absence of disorder, few such systems have been observed experimentally. One…

Strongly Correlated Electrons · Physics 2016-08-31 S. -W. Han , J. S. Gardner , C. H. Booth
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