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YBaCo4O7 belongs to a new class of geometrically frustrated magnets like the pyrochlores, in which Co-spins occupy corners of tetrahedra. The structure can be viewed as an alternating stacking of Kagome and triangular layers. Exactly half…

Materials Science · Physics 2009-11-11 L. C. Chapon , P. G. Radaelli , H. Zheng , J. F. Mitchell

We report low-temperature thermal conductivity $\kappa$ of pyrochlore Yb$_2$Ti$_2$O$_7$, which contains frustrated spin-ice correlations with significant quantum fluctuations. In the disordered spin-liquid regime, $\kappa(H)$ exhibits a…

Strongly Correlated Electrons · Physics 2016-03-24 Y. Tokiwa , T. Yamashita , M. Udagawa , S. Kittaka , T. Sakakibara , D. Terazawa , Y. Shimoyama , T. Terashima , Y. Yasui , T. Shibauchi , Y. Matsuda

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

Three-dimensionally (3D) frustrated magnets generally exist in the magnetic diamond and pyrochlore lattices, in which quantum fluctuations suppress magnetic orders and generate highly entangled ground states (GS). LiYbSe2 in a previously…

Strongly Correlated Electrons · Physics 2022-06-15 Ranuri S. Dissanayaka Mudiyanselage , Haozhe Wang , Olivia Vilella , Martin Mourigal , Gabriel Kotliar , Weiwei Xie

We consider the possibility that the discrete long-range ordered states of Er2Ti2O7 are selected energetically at the mean field level as an alternative scenario that suggests selection via thermal fluctuations. We show that nearest…

Statistical Mechanics · Physics 2009-03-04 P. A. McClarty , S. H. Curnoe , M. J. P. Gingras

Frustrated systems, typically characterized by competing interactions that cannot all be simultaneously satisfied, display rich behaviours not found elsewhere in nature. Artificial spin ice takes a materials-by-design approach to studying…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Jasper Drisko , Thomas Marsh , John Cumings

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

Frustrated magnets are one class of fascinating materials that host many intriguing phases such as spin ice, spin liquid and complex long-range magnetic orderings at low temperatures. In this work we use first-principles calculations to…

Materials Science · Physics 2019-08-07 Yue-Wen Fang , Ruihan Yang , Hanghui Chen

Frustration in the presence of competing interactions is ubiquitous in the physical sciences and is a source of degeneracy and disorder, giving rise to new and interesting physical phenomena. Perhaps nowhere does it occur more simply than…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Cristiano Nisoli , Roderich Moessner , Peter Schiffer

Two geometrically frustrated pyrochlore stannates, undergoing long range magnetic order below 1K, were investigated at very low temperature. Anomalies in the behaviour of hyperfine quantities are found, by 155Gd Mossbauer spectroscopy in…

Strongly Correlated Electrons · Physics 2009-11-13 P. Bonville , I. Mirebeau , J. P. Sanchez

We investigated the nature of the freezing in the geometrically frustrated Heisenberg spin-glass Y2Mo2O7 by measuring the temperature dependence of the static internal magnetic field distribution above the spin-glass temperature, Tg, using…

Strongly Correlated Electrons · Physics 2009-11-11 Eva Sagi , Oren Ofer , Amit Keren , Jason S. Gardner

Phases that go beyond dipolar ordering and into multipolar ordering have recently been observed in magneto-electric materials. The resulting phase diagram is commonly explained using the concept of competing orders and exact microscopic…

Statistical Mechanics · Physics 2026-03-06 Finja Tietjen , R. Matthias Geilhufe

Order-by-disorder, whereby fluctuations lift an accidental classical ground state degeneracy to stabilize a subset of ordered states, is a recurrent and prominent theme in the field of frustrated magnetism where magnetic moments are subject…

Strongly Correlated Electrons · Physics 2025-05-27 Alexander Hickey , Daniel Lozano-Gómez , Michel J. P. Gingras

The magnetic behavior of polycrystalline samples of Er$_2$Ir$_2$O$_7$ and Tb$_2$Ir$_2$O$_7$ pyrochlores is studied by magnetization measurements and neutron diffraction. Both compounds undergo a magnetic transition at 140 and 130 K…

Strongly Correlated Electrons · Physics 2015-07-30 E. Lefrançois , V. Simonet , R. Ballou , E. Lhotel , A. Hadj-Azzem , S. Kodjikian , P. Lejay , P. Manuel , D. Khalyavin , L. C. Chapon

Motivated by the magnetism of pyrochlore oxides, we consider the effect of quantum fluctuations in the most general symmetry-allowed nearest-neighbor Kramers exchange Hamiltonian on the pyrochlore lattice. At the classical level, this…

Strongly Correlated Electrons · Physics 2025-08-12 Lasse Gresista , Daniel Lozano-Gómez , Matthias Vojta , Simon Trebst , Yasir Iqbal

Neutron scattering experiments on a polycrystalline sample of the frustrated pyrochlore magnet Tb2Ti2O7, which does not show any magnetic order down to 50 mK, have revealed that it shows condensation behavior below 0.4 K from a thermally…

Disordered Systems and Neural Networks · Physics 2011-12-13 Hiroshi Takatsu , Hiroaki Kadowaki , Taku J. Sato , Jeffrey W. Lynn , Yoshikazu Tabata , Teruo Yamazaki , Kazuyuki Matsuhira

The crystal growth and the structural, transport and magnetic properties of the magnetically frustrated YbMn$_2$Sb$_2$ single crystals are reported. The crystals show a trigonal symmetry (space group $P\bar{3}m1$), where corrugated…

Atomic Physics · Physics 2020-04-27 J. Munevar , F. R. Arantes , L. Mendonça-Ferreira , M. A. Avila , R. A. Ribeiro

In this paper we study the frustrated J1-J2 quantum Heisenberg model on the square lattice for J2 > 2J1, in a magnetic field. In this regime the classical system is known to have a degenerate manifold of lowest energy configurations, where…

Strongly Correlated Electrons · Physics 2015-07-09 C. A. Lamas , D. C. Cabra , P. Pujol , G. L. Rossini

We present a quantum theory of frustrated diamond lattice antiferromagnets. Considering quantum fluctuations as the predominant mechanism relieving spin frustration, we find a rich phase diagram comprising of six phases with coplanar spiral…

Strongly Correlated Electrons · Physics 2009-11-13 Jean-Sebastien Bernier , Michael J. Lawler , Yong Baek Kim

Square-lattice systems offer a direct route for realizing 2D quantum magnetism with frustration induced by competing interactions. In this work, the square-lattice materials YbBi2IO4 and YbBi2ClO4 were investigated using a combination of…

Strongly Correlated Electrons · Physics 2024-01-26 Pyeongjae Park , G. Sala , Th. Proffen , Matthew B. Stone , Andrew D. Christianson , Andrew F. May
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