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We predict and observed novel highly anisotropic magnetic patterns obtained in the model of frustrated planar interacting magnetic moments (the classical $X-Y$ model) on the regular kagome lattice. The frustration is provided by the…

Pattern Formation and Solitons · Physics 2020-10-28 A. Andreanov , M. V. Fistul

The charge ordered structure of ions and vacancies characterizing rare-earth pyrochlore oxides serves as a model for the study of geometrically frustrated magnetism. The organization of magnetic ions into networks of corner-sharing…

We show that pharmacosiderite is a novel cluster antiferromagnet comprising frustrated regular tetrahedra made of spin-5/2 Fe3+ ions that are arranged in the primitive cubic lattice. The connectivity of the tetrahedra and the inter-cluster…

Strongly Correlated Electrons · Physics 2018-08-08 Ryutaro Okuma , Takeshi Yajima , Tatsuo Fujii , Mikio Takano , Zenji Hiroi

Magnetic systems are fertile ground for the emergence of exotic states when the magnetic interactions cannot be satisfied simultaneously due to the topology of the lattice - a situation known as geometrical frustration. Spinels, AB2O4, can…

Strongly Correlated Electrons · Physics 2015-05-13 M. Matsuda , H. Ueda , A. Kikkawa , Y. Tanaka , K. Katsumata , Y. Narumi , T. Inami , Y. Ueda , S. -H. Lee

By neutron scattering, we have studied the spin correlations and spin fluctuations in frustrated Laves hydrides, where magnetic disorder sets in the topologically frustrated Mn lattice. Below the transition towards short range magnetic…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. Cadavez-Peres , I. Mirebeau , R. Kahn , I. N. Goncharenko , E. Vincent , O. L. Makarova

Condensed matter physics continues to seek new frustrated quantum materials that not only deepen our understanding of fundamental physical phenomena but also hold promise for transformative technologies. In this review article, we highlight…

Strongly Correlated Electrons · Physics 2025-12-01 J. Khatua , Kwang-Yong Choi

A non-technical introduction to the theory of magnets with strong geometric frustration is given, concentrating on magnets on corner-sharing (kagome, pyrochlore, SCGO and GGG) lattices. Their rich behaviour is traced back to a large…

Statistical Mechanics · Physics 2009-10-31 R. Moessner

Frustrated pyrochlore lattices in transition-metal oxides provide an ideal platform for realizing exotic quantum states, including spin liquids with unconventional low-energy excitations arising from the macroscopic ground-state degeneracy…

Strongly Correlated Electrons · Physics 2026-05-26 Satish Kumar , U. Jena , A. Bandhopadhay , G. B. G. Stenning , D. T. Adroja , S. Petit , P. Khuntia

Metastable Co$_2$Ti$_3$O$_8$ was synthesized through a topochemical reaction using Li$_2$CoTi$_3$O$_8$ as the precursor, resulting in a vacancy-ordered spinel structure. Crystal structure analysis confirmed that Co ions selectively occupy…

Strongly Correlated Electrons · Physics 2025-07-03 Rio Kumeda , Yuya Haraguchi , Daisuke Nishio-Hamane , Akira Matsuo , Koichi Kindo , Hiroko Aruga Katori

Frustration of long-range order via lattice geometries serves to amplify fluctuations of the order parameter and generate unconventional ground states that are highly sensitive to perturbations. Traditionally, this concept of geometric…

Frustration in spin system can give rise to unique ordered states and as a consequence several physical phenomena are expected such as multiferroics, high temperature superconductors and anomalous hall effect. Here we report the "new…

Strongly Correlated Electrons · Physics 2018-08-01 GiBaik Sim , SungBin Lee

We study the ground-state and low-energy properties of classical vector spin models with nearest-neighbour antiferromagnetic interactions on a class of geometrically frustrated lattices which includes the kagome and pyrochlore lattices. We…

Statistical Mechanics · Physics 2009-10-31 R. Moessner , J. T. Chalker

We report the crystal growth, crystal structure and basic magnetic properties of a new cobalt-based pyrochlore, NaSrCo$_2$F$_7$. Na and Sr are completely disordered on the non-magnetic large atom A sites, while magnetic S=3/2 Co$^{2+}$…

Materials Science · Physics 2015-03-13 J. W. Krizan , R. J. Cava

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

In this review we provide an introduction to the physics of a series of frustrated quantum rare-earth pyrochlores. We first give a background on the microscopic single- and two-ion physics of these materials, discussing the origins and…

Strongly Correlated Electrons · Physics 2019-03-26 Jeffrey G. Rau , Michel J. P. Gingras

This review summarizes more than 100 years of research on spinel compounds, mainly focusing on the progress in understanding their magnetic, electronic, and polar properties during the last two decades. Many spinel compounds are magnetic…

Strongly Correlated Electrons · Physics 2022-06-14 V. Tsurkan , H. -A. Krug von Nidda , J. Deisenhofer , P. Lunkenheimer , A. Loidl

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…

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

Patterning nanomagnets in three-dimensions presents a new paradigm in condensed matter physics and allows access to a plethora of fundamental phenomena including robust spin textures, magnetic metamaterials that are home to defects carrying…

Mesoscale and Nanoscale Physics · Physics 2018-12-07 Andrew May , Matthew Hunt , Arjen Van Den Berg , Alaa Hejazi , Sam Ladak

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert