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Related papers: Geometric frustration in compositionally modulated…

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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,…

Geometric frustration is a widespread phenomenon in physics, materials science, and biology, occurring when the geometry of a system prevents local interactions from being all accommodated. The resulting manifold of nearly degenerate…

Materials Science · Physics 2025-07-22 Oliver Lin , Zhiheng Lyu , Hsu-Chih Ni , Xiaokang Wang , Yetong Jia , Chu-Yun Hwang , Lehan Yao , Jian-Min Zuo , Qian Chen

We study the magnetism of a layered, spin-$\frac12$ organic-inorganic copper sulfate, which is a close realization of the star lattice antiferromagnet, one of the playgrounds of geometric frustration and resonating valence bond physics in…

Magnetic frustration in metals is scarce and hard to pinpoint, but exciting due to the possibility of the emergence of fascinating novel phases. The cubic intermetallic compound HoInCu$_4$ with all holmium atoms on an fcc lattice, exhibits…

Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate ground states, and a large suppression of…

Strongly Correlated Electrons · Physics 2007-07-03 Doron Bergman , Jason Alicea , Emanuel Gull , Simon Trebst , Leon Balents

A new method to characterize the strength of magnetic frustration is proposed by calculating the minimum dimensionality of the absolute ground states of the classical nearest-neighbor antiferromagnetic $n$-vector model with arbitrary $n$.…

Strongly Correlated Electrons · Physics 2023-07-04 N. P. Konstantinidis

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

Recently, it has become possible to tune optical lattices continuously between square and triangular geometries. We compute thermodynamics and spin correlations in the corresponding Hubbard model using determinant quantum Monte Carlo and…

Quantum Gases · Physics 2013-11-19 Chia-Chen Chang , Richard T. Scalettar , Elena V. Gorelik , Nils Blümer

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

Materials science has been intensively developed during the last 30 years. This is due, on the one hand, to an increasing demand of new materials for new applications and, on the other hand, to technological progress which allows for the…

Statistical Mechanics · Physics 2016-04-25 H. T. Diep

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

We study the frustration properties of the Ising model on a decorated triangular lattice with an arbitrary number of decorating spins on all lattice bonds in the framework of an exact analytical approach based on the Kramers--Wannier…

Statistical Mechanics · Physics 2023-09-20 F. A. Kassan-Ogly , A. V. Zarubin

Elucidating the interplay of stress and geometry is a fundamental scientific question arising in multiple fields. In this work, we investigate the geometric frustration of crystalline caps confined on the sphere in both elastic and plastic…

Soft Condensed Matter · Physics 2022-07-22 Jingyuan Chen , Zhenwei Yao

Geometric frustration is a key parameter controlling electronic and magnetic properties of quantum spin liquid systems, yet remains challenging to tune. Here, we coherently drive molecular vibrations with midinfrared pulses in two organic…

Strongly Correlated Electrons · Physics 2025-10-14 M. Tepie , F. Glerean , J. Ovčar , S. Priya , K. Miyagawa , H. Taniguchi , K. Kanoda , I. Lončarić , M. Dressel , M. Mitrano

Spin glass (SG) is a typical magnetic system with frozen random spin orientation at low temperatures. The system exhibits rich physical properties, such as infinite number of ground states, memory effect and aging phenomena. There are two…

Disordered Systems and Neural Networks · Physics 2016-03-23 Tasrief Surungan , Bansawang BJ , Dahlang Tahir

Magnetic frustration, arising from the competition of exchange interactions, has received great attention because of its relevance to exotic quantum phenomena in materials. In the current work, we report an unusual checkerboard-shaped…

The intermetallic compound Nd$_2$Co$_{0.85}$Si$_{2.88}$ having a triangular lattice could be synthesized in single-phase only with defect crystal structure. Investigation through different experimental techniques indicate the presence of…

Geometric frustration is recognized to generate complex morphologies in self-assembling particulate and molecular systems. In bulk states, frustrated drives structured arrays of topological defects. In the dilute limit, these systems have…

Soft Condensed Matter · Physics 2025-09-01 Nicholas Hackney , Gregory Grason

This review article is devoted to the interplay between frustrated magnetism and quantum critical phenomena, covering both theoretical concepts and ideas as well as recent experimental developments in correlated-electron materials. The…

Strongly Correlated Electrons · Physics 2018-06-27 Matthias Vojta

We show strong numerical evidence in favor of an unexpected virtually gapless spectrum, with edge states localized at the boundaries, in frustrated spin-1/2 antiferromagnetic ladders with an odd number of legs. These features can be…

Strongly Correlated Electrons · Physics 2009-11-13 Federico Becca , Luca Capriotti , Alberto Parola , Sandro Sorella
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