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Geometric frustration inhibits magnetic systems from ordering, opening a window to unconventional phases of matter. The paradigmatic frustrated lattice in three dimensions to host a spin liquid is the pyrochlore, although there remain few…

The rich phase diagrams of magnetically frustrated pyrochlores have maintained a high level of interest over the past 20 years. To experimentally explore these phase diagrams requires a means of tuning the relevant interactions. One…

Strongly Correlated Electrons · Physics 2015-03-24 A. M. Hallas , A. M. Arevalo-Lopez , A. Z. Sharma , T. Munsie , J. P. Attfield , C. R. Wiebe , G. M. Luke

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

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

The lanthanide pyrochlore oxides Ln$_2$B$_2$O$_7$ are one of the most intensely studied classes of materials within condensed matter physics, firmly centered as one of the pillars of frustrated magnetism. The extensive chemical diversity of…

Strongly Correlated Electrons · Physics 2022-11-02 Brenden R. Ortiz , Paul M. Sarte , Ganesh Pokharel , Michael Garcia , Marcos Marmolejo , Stephen D. Wilson

Our polycrystalline sample study on the Yb-based chalcogenide spinels $A$Yb$_2$$X_4$ ($A =$ Cd, Mg, $X =$ S, Se) has revealed frustrated magnetism due to the antiferromagnetically coupled Heisenberg spin on the pyrochlore lattice. Our…

Strongly Correlated Electrons · Physics 2017-06-07 Tomoya Higo , Kensuke Iritani , Mario Halim , Wataru Higemoto , Takashi U. Ito , Kentaro Kuga , Kenta Kimura , Satoru Nakatsuji

The rare-earth chalcogenide $ARECh_{2}$ family ($A =$ alkali metal or monovalent ions, $RE =$ rare earth, $Ch =$ chalcogen) has emerged as a paradigmatic platform for studying frustrated magnetism on a triangular lattice. The family members…

Strongly Correlated Electrons · Physics 2024-12-04 Mingtai Xie , Wenzhen Zhuo , Yanzhen Cai , Zheng Zhang , Qingming Zhang

We present an extensive numerical study of a new type of frustrated itinerant magnetism on the pyrochlore lattice. In this theory, the pyrochlore magnet can be viewed as a cross-linking network of Kondo or double-exchange chains. Contrary…

Strongly Correlated Electrons · Physics 2018-12-17 Jing Luo , Gia-Wei Chern

As materials with suppressed ordering temperatures and enhanced ground state entropies, frustrated magnetic oxides are ideal candidates for cryogenic magnetocaloric refrigeration. While previous materials design has focused on tuning the…

The crystal structures and magnetic properties of three previously unreported A2B2F7 pyrochlore materials, NaSrMn2F7, NaCaFe2F7, and NaSrFe2F7 are presented. In these compounds, either S=2 Fe2+ or S=5/2 Mn2+ is on the B site, while…

Strongly Correlated Electrons · Physics 2016-12-21 M. B. Sanders , J. W. Krizan , K. W. Plumb , T. M. McQueen , R. J. Cava

A unique type of frustrated lattice is found in two A-site ordered spinel oxides, LiGaCr4O8 and LiInCr4O8. Because of the large size mismatch between Li+ and Ga3+/In3+ ions at the A site, the pyrochlore lattice, made up of Cr3+ ions…

Materials Science · Physics 2015-06-12 Yoshihiko Okamoto , Gøran J. Nilsen , J. Paul Attfield , Zenji Hiroi

Lattice-coupled antiferromagnetic spin model is analyzed for a number of frustrated lattices: triangular, Kagome, and pyrochlore. In triangular and Kagome lattices where ground state spins are locally ordered, the spin-lattice interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Chenglong Jia , Jung Hoon Han

Frustrated systems are ubiquitous and interesting because their behavior is difficult to predict. Magnetism offers extreme examples in the form of spin lattices where all interactions between spins cannot be simultaneously satisfied. Such…

Strongly Correlated Electrons · Physics 2009-11-07 S. -H. Lee , C. Broholm , W. Ratcliff , G. Gasparovic , Q. Huang , T. H. Kim , S. -W. Cheong

For nearly three decades frustrated magnetism research in three dimensions (3D) has centered on the pyrochlore geometry of corner-sharing tetrahedra and the classical spin liquid (CSL) known as spin ice. In this work, we propose that a…

Strongly Correlated Electrons · Physics 2026-03-16 Matthew Stern , Michael D. Burke , Michel J. P. Gingras , Judit Romhányi , Kristian Tyn Kai Chung

In frustrated magnetic systems, geometric constraints or the competition amongst interactions introduce extremely high degeneracy and prevent the system from readily selecting a low-temperature ground state. The most frustrated known spin…

Strongly Correlated Electrons · Physics 2016-11-23 Darren C. Peets , Hasung Sim , Maxim Avdeev , Je-Geun Park

The collective behavior of interacting magnetic moments can be strongly influenced by the topology of the underlying lattice. In geometrically frustrated spin systems, interesting chiral correlations may develop that are related to the spin…

Strongly Correlated Electrons · Physics 2007-05-23 D. Grohol , K. Matan , J. H. Cho , S. -H. Lee , J. W. Lynn , D. G. Nocera , Y. S. Lee

We report the magnetic characterization of the frustrated transition metal pyrochlore NaCaCo$_2$F$_7$. This material has high spin Co$^{2+}$ in CoF$_6$ octahedra in a pyrochlore lattice, and disordered non-magnetic Na and Ca on the…

Materials Science · Physics 2015-06-19 J. W. Krizan , R. J. Cava

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

We have searched nearly 40,000 inorganic solids in the Inorganic Crystal Structural Database to identify compounds containing a transition metal or rare earth kagom\'e sublattice, a geometrically magnetically frustrated lattice, ultimately…

Materials Science · Physics 2021-03-11 Vanessa Meschke , Prashun Gorai , Vladan Stevanović , Eric S. Toberer

A frustrated system is one whose symmetry precludes the possibility that every pairwise interaction (``bond'') in the system can be satisfied at the same time. Such systems are common in all areas of physical and biological science. In the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Steven T. Bramwell , Michel J. -P. Gingras
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