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Artificial spin-ices consist of lithographic arrays of single-domain magnetic nanowires organised into frustrated lattices. These geometries are usually two-dimensional, allowing a direct exploration of physics associated with frustration,…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 M. Saccone , A. Van den Berg , E. Harding , S. Singh , S. R. Giblin , F. Flicker , S. Ladak

We present a numerical study on a disordered artificial spin-ice system which interpolates between the long-range ordered square ice and the fully degenerate shakti ice. Starting from the square-ice geometry, disorder is implemented by…

Disordered Systems and Neural Networks · Physics 2021-05-27 Yifei Shi , Cristiano Nisoli , Gia-Wei Chern

We study the configuration of magnetic moments on triangular lattices of single-domain ferromagnetic islands, examining the consequences of magnetostatic interactions in this frustrated geometry. By varying the island-island distance along…

Materials Science · Physics 2009-11-13 Xianglin Ke , Jie Li , Sheng Zhang , Cristiano Nisoli , Vincent H. Crespi , Peter Schiffer

The mixed spin-(1/2, 3/2) Ising model on a decorated square lattice, which takes into account lattice vibrations of the spin-3/2 decorating magnetic ions at a quantum-mechanical level under the assumption of a perfect lattice rigidity of…

Statistical Mechanics · Physics 2020-07-06 Jozef Strecka , Onofre Rojas , Sergio Martins de Souza

The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and…

Statistical Mechanics · Physics 2022-06-22 A. V. Zarubin , F. A. Kassan-Ogly , A. I. Proshkin

We consider long, finite-width strips of Ising spins with randomly distributed couplings. Frustration is introduced by allowing both ferro- and antiferromagnetic interactions. Free energy and spin-spin correlation functions are calculated…

Statistical Mechanics · Physics 2009-10-31 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

Spin textures with nontrivial topology, such as vortices and skyrmions, have attracted attention as a source of unconventional magnetic, transport, and optical phenomena. Recently, a new generation of topological spin textures has been…

Strongly Correlated Electrons · Physics 2021-11-08 Satoru Hayami , Yukitoshi Motome

Spin ices, frustrated magnetic materials analogous to common water ice, are exemplars of high frustration in three dimensions. Recent experimental studies of the low-temperature properties of the paradigmatic Dy$_2$Ti$_2$O$_7$ spin ice…

Statistical Mechanics · Physics 2016-01-19 P. Henelius , T. Lin , M. Enjalran , Z. Hao , J. G. Rau , J. Altosaar , F. Flicker , T. Yavors'kii , M. J. P. Gingras

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

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

It is predicted that strongly interacting spins on a frustrated lattice may lead to a quantum disordered ground state or even form a quantum spin liquid with exotic low-energy excitations. However, a thorough tuning of the frustration…

Strongly Correlated Electrons · Physics 2024-01-08 Jierong Wang , Y. -S. Su , M. Spitaler , P. Puphal , C. Krellner , S. E. Brown , A. Pustogow

Like the twisting control in magic angle twisted bilayer graphenes, the stacking control is another mechanical approach to manipulate the fundamental properties of solids, especially the van der Waals materials. We explore the…

Strongly Correlated Electrons · Physics 2023-01-03 Jianqiao Liu , Xu-Ping Yao , Gang Chen

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…

Ground-state and finite-temperature properties of a special class of exactly solvable Ising-Heisenberg planar models are examined using the generalized decoration-iteration and star-triangle mapping transformations. The investigated spin…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jozef Strecka , Michal Jascur

In this review, we outline the important results on the resistivity encountered by an electron in magnetically ordered materials. The mechanism of the collision between the electron and the lattice spins is shown. Experiments on the spin…

Statistical Mechanics · Physics 2023-01-10 Danh-Tai Hoang , Hung T. Diep

Fractionalised excitations that emerge from a many body system have revealed rich physics and concepts, from composite fermions in two-dimensional electron systems, revealed through the fractional quantum Hall effect, to spinons in…

Strongly Correlated Electrons · Physics 2016-03-17 S. Petit , E. Lhotel , B. Canals , M. Ciomaga-Hatnean , J. Ollivier , H. Mutka , E. Ressouche , A. R. Wildes , M. R. Lees , G. Balakrishnan

Increasingly large datasets of microscopic images with atomic resolution facilitate the development of machine learning methods to identify and analyze subtle physical phenomena embedded within the images. In this work, microscopic images…

Disordered Systems and Neural Networks · Physics 2025-07-24 Arnab Neogi , Suryakant Mishra , Prasad P Iyer , Tzu-Ming Lu , Ezra Bussmann , Sergei Tretiak , Andrew Crandall Jones , Jian-Xin Zhu

Artificial spin ice systems are metamaterials composed of interacting nanomagnets arranged on a lattice, exhibiting geometrical frustration and emergent phenomena such as monopole excitations. We explore magnetization dynamics and monopole…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Julia Frank , Johan van Lierop , Robert L. Stamps

We discuss a model scenario for multiferroic systems of type II (collinear spins) where the electric dipolar order competes with a frustrated magnetic order in determining the elastic distortions of the lattice ion positions. High magnetic…

Strongly Correlated Electrons · Physics 2022-03-14 D. C. Cabra , A. O. Dobry , C. J. Gazza , G. L. Rossini

The mixed spin-1/2 and spin-S Ising model on a decorated planar lattice accounting for lattice vibrations of decorating atoms is treated by making use of the canonical coordinate transformation, the decoration-iteration transformation, and…

Statistical Mechanics · Physics 2018-11-19 Jozef Strecka , Matus Rebic , Onofre Rojas , Sergio Martins de Souza
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