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The magnetic properties of the first odd-member antiferromagnetic ring comprising eight chromium(III) ions, S=3/2 spins, and one nickel(II) ion, S=1 spin, are investigated. The ring possesses an even number of unpaired electrons and a S=0…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Olivier Cador , Dante Gatteschi , Roberta Sessoli , Anne-Laure Barra , Grigore A. Timco , Richard E. P. Winpenny

Effects of geometrical frustration in low-dimensional charge ordering systems are theoretically studied, mainly focusing on dynamical properties. We treat extended Hubbard models at quarter-filling, where the frustration arises from…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Kenji Tsutui , Masao Ogata , Jaime Merino

Geometric magnetic frustration (GMF) has attracted substantial interest due to the exotic physics and rich phase diagrams revealed by the cancellation of normally-dominant magnetic interactions, giving impetus for the search for novel…

Unlike conventional magnets where the magnetic moments are partially or completely static in the ground state, in a quantum spin liquid they remain in collective motion down to the lowest temperatures. The importance of this state is that…

Competing interactions, non-trivial electronic band topology, quantum fluctuations, and the interplay between emergent degrees of freedom in frustrated quantum materials can give rise to a wide range of exotic phenomena. Glassy dynamics,…

Strongly Correlated Electrons · Physics 2026-05-08 U. Jena , M. Barman , A. Pradhan , P. Khuntia

Mechanical metamaterials present a promising platform for seemingly impossible mechanics. They often require incompatibility of their elementary building blocks, yet a comprehensive understanding of its role remains elusive. Relying on an…

Soft Condensed Matter · Physics 2021-06-16 Ben Pisanty , Erdal C. Oguz , Cristiano Nisoli , Yair Shokef

Quantum antiferromagnets have proven to be some of the cleanest realizations available for theoretical, numerical, and experimental studies of quantum fluctuation effects. At finite temperatures, however, the additional effects of thermal…

Strongly Correlated Electrons · Physics 2016-04-28 A. Honecker , S. Wessel , R. Kerkdyk , T. Pruschke , F. Mila , B. Normand

Geometric frustration is a key ingredient in the emergence of exotic states of matter, such as the quantum spin liquid in Mott insulators. While there has been intense interest in experimentally tuning frustration in candidate materials,…

By means of exact diagonalization we study the ground-state and the low-temperature physics of the Heisenberg antiferromagnet on the cuboctahedron and the icosidodecahedron. Both are frustrated magnetic polytopes and correspond to the…

Strongly Correlated Electrons · Physics 2009-11-11 R. Schmidt , J. Richter , J. Schnack

Artificial spin ices provide a controlled platform for investigating diverse physical phenomena, such as geometric frustration, magnetic monopoles, and phase transitions, via deliberate design. Here, we introduce a novel approach by…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Zixiong Yuan , Wen-Cheng Yue , Peiyuan Huang , Yang-Yang Lyu , Sining Dong , Ying Dong , Huabing Wang , Peiheng Wu , Yong-Lei Wang

Localized spins and itinerant electrons rarely coexist in geometrically-frustrated spinel lattices. We show that the spinel CoV2O4 stands at the crossover from insulating to itinerant behavior and exhibits a complex interplay between…

Strongly Correlated Electrons · Physics 2018-07-31 J. H. Lee , J. Ma , S. E. Hahn , H. B. Cao , Tao Hong , M. S. Yeom , S. Okamoto , H. D. Zhou , M. Matsuda , R. S. Fishman

Bundles of filaments are subject to geometric frustration: certain deformations (e.g. bending while twisted) require longitudinal variations in spacing between filaments. While bundles are common -- from protein fibers to yarns -- the…

Soft Condensed Matter · Physics 2021-12-01 Daria W. Atkinson , Christian D. Santangelo , Gregory M. Grason

Nonreciprocal interactions often create conflicting dynamical objectives that cannot be simultaneously satisfied, leading to nonreciprocal frustration. On the other hand, geometric frustration arises when conflicting static objectives in…

Quantum Physics · Physics 2025-08-11 Guitao Lyu , Myung-Joong Hwang

By performing first-principles calculations in conjunction with Monte Carlo simulations, we systematically investigated the frustrated magnetic states induced by in-plane compressive strain in LiCrTe$_{2}$. Our calculations support that the…

Materials Science · Physics 2023-06-23 Weiyi Pan , Junsheng Feng

Active systems are comprised of constituents with interactions that are generically non-reciprocal in nature. Such non-reciprocity often gives rise to situations where conflicting objectives exist, such as in the case of a predator pursuing…

Disordered Systems and Neural Networks · Physics 2024-02-28 Ryo Hanai

Geometrically frustrated elastic ribbons exhibit, in many cases, significant changes in configuration depending on the relation between their width and thickness. We show that the existence of such a transition, and the scaling at which it…

Soft Condensed Matter · Physics 2021-08-12 Ido Levin , Emmanuel Siéfert , Eran Sharon , Cy Maor

The frustration phenomenon in an exactly solvable spin-electron planar model constituted by identical bipyramidal plaquettes is discussed within the Toulouse's and dos Santos and Lyra's frustration concepts. It is shown that the ground…

Statistical Mechanics · Physics 2021-09-30 Lucia Gálisová

New effects in the frustrated transverse Ising ring are predicted. The system is solved based on a mapping of Pauli spin operators to the Jordan-Wigner fermions. We group the low-lying energy levels into bands after imposing appropriate…

Statistical Mechanics · Physics 2016-01-12 Jian-Jun Dong , Peng Li , Qi-Hui Chen

Polymer-grafted nanoparticles are versatile building blocks that self-assemble into a rich diversity of mesostructures. Coarse-grained molecular simulations have commonly accompanied experiments by resolving structure formation pathways and…

Soft Condensed Matter · Physics 2025-09-30 Federico Tomazic , Aswathy Muttathukattil , Afshin Nabiyan , Felix Schacher , Michael Engel

AC magnetoimpedance measurements performed on proximity-effect coupled Josephson junction arrays on a dice lattice reveal unconventional behaviour resulting from the interplay between the frustration f created by the applied magnetic field…

Superconductivity · Physics 2009-11-11 M. Tesei , R. Theron , P. Martinoli
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