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Geometric effects in curvilinear nanomagnets can enable chiral, anisotropic and even magnetoelectric responses. Here, we study the effects of magnetic frustration in curvilinear (quasi-)1D magnets represented by spin chains arranged along…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Oleksandr V. Pylypovskyi , Enrico Di Benedetto , Carmine Ortix , Denys Makarov

The Shastry-Sutherland lattice, one of the simplest systems with geometric frustration, which has an exact eigenstate by putting singlets on diagonal bonds, can be realized in a group of layered compounds and rises both theoretical and…

Strongly Correlated Electrons · Physics 2014-05-06 Hai-Di Liu , Yao-Hua Chen , Heng-Fu Lin , Hong-Shuai Tao , Wu-Ming Liu

We use the coupled cluster method implemented to high orders of approximation to investigate the frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{3}$ antiferromagnet on the honeycomb lattice with isotropic Heisenberg interactions of…

Strongly Correlated Electrons · Physics 2016-01-06 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter , C. E. Campbell

We report on the ESR, magnetization and magnetic susceptibility measurements performed over a large temperature range, from 1.5 to 750 K, on high-quality stoichiometric LiNiO2. We find that this compound displays two distinct temperature…

Materials Science · Physics 2009-11-07 F. Reynaud , D. Mertz , F. Celestini , J. -M. Debierre , A. M. Ghorayeb , P. Simon , A. Stepanov , J. Voiron , C. Delmas

The Cairo pentagonal lattice, consisting of an irregular pentagonal tiling of magnetic ions on two inequivalent sites (3- and 4-co-ordinated ones), represents a fascinating example for studying geometric frustration effects in…

Materials Science · Physics 2014-12-23 A. Chainani , K. Sheshadri

In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can…

Statistical Mechanics · Physics 2007-09-25 Shu Tanaka , Seiji Miyashita

The magnetization process of the S=1/2 Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. We successfully obtain a new result of the magnetization process of a 42-site cluster in the entire…

Strongly Correlated Electrons · Physics 2014-10-02 Hiroki Nakano , Toru Sakai

The kagome lattice can host exotic magnetic phases arising from frustrated and competing magnetic interactions. However, relatively few insulating kagome materials exhibit incommensurate magnetic ordering. Here, we present a study of the…

Strongly Correlated Electrons · Physics 2023-04-19 Joseph A. M. Paddison , Li Yin , Keith M. Taddei , Malcolm J. Cochran , Stuart A. Calder , David S. Parker , Andrew F. May

We propose a scheme to realize a frustrated Bose-Hubbard model with ultracold atoms in an optical lattice that comprises the frustrated spin-1/2 quantum XX model. Our approach is based on a square ladder of magnetic flux close to $\pi$ with…

Quantum Gases · Physics 2023-11-01 Luca Barbiero , Josep Cabedo , Maciej Lewenstein , Leticia Tarruell , Alessio Celi

We report the magnetic properties of a cobalt oxalate metal-organic-framework featuring the hyperoctagon lattice. Our thermodynamic measurements reveal the $J_{\rm{eff}}$ = 1/2 state of the high-spin Co$^{2+}$ (3$\textit{d}^{7}$) ion and…

Strongly Correlated Electrons · Physics 2024-04-11 Hajime Ishikawa , Shusaku Imajo , Hikaru Takeda , Masafumi Kakegawa , Minoru Yamashita , Jun-ichi Yamaura , Koichi Kindo

The rare-earth ferroelectromagnet YMnO3 consists of weakly coupled triangular layers of S=2 spins. Below T_N ~ 70 K muon-spin relaxation data show two oscillatory relaxing signals due to magnetic order, with no relaxing signal resolvable…

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

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

Intense quantum fluctuations arising from geometrical frustrations in kagome-lattice magnets provide a feasible approach to exotic quantum states. Here, we document an unexpected isosymmetric first-order magnetic transition in the recently…

Strongly Correlated Electrons · Physics 2025-11-14 Zhongchen Xu , Xinyang Liu , Cuiwei Zhang , Shuai Zhang , Feng Jin , Junsen Xiang , Quansheng Wu , Xianmin Zhang , Peijie Sun , Youguo Shi

We have formulated a twist operator argument for the geometrically frustrated quantum spin systems on the kagome and triangular lattices, thereby extending the application of the Lieb-Schultz-Mattis (LSM) and Oshikawa-Yamanaka-Affleck (OYA)…

Strongly Correlated Electrons · Physics 2020-01-28 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

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…

The layered {\beta}-NaMnO2, a promising Na-ion energy-storage material has been investigated for its triangular lattice capability to promote complex magnetic configurations that may release symmetry restrictions for the coexistence of…

Geometric frustration is a phenomenon in a lattice system where not all interactions can be satisfied, the simplest example being antiferromagnetically coupled spins on a triangular lattice. Frustrated systems are characterized by their…

The competition between interactions in frustrated magnets allows a wide variety of new ground states, often exhibiting emergent physics and unique excitations. Expanding the suite of lattices available for study enhances our chances of…

Strongly Correlated Electrons · Physics 2017-01-24 Darren C. Peets , Hasung Sim , Seongil Choi , Maxim Avdeev , Seongsu Lee , Su Jae Kim , Hoju Kang , Docheon Ahn , Je-Geun Park

Geometric frustration gives rise to vast manifolds of degenerate ground states and competing orders in spin and charge systems. Typically, classical ground states are governed by a local ``zero-sum constraint" that relieves frustrated…

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