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We show that in colloidal models of artificial kagome and modified square ice systems, a variety of ordering and disordering regimes occur as a function of biasing field, temperature, and colloid-colloid interaction strength, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 C. J. Olson Reichhardt , A. Libal , C. Reichhardt

Dynamical effects under geometrical frustration are considered in a model for artificial spin ice on a square lattice in two dimensions. Each island of the spin ice has a three-component Heisenberg-like dipole moment subject to shape…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 G. M. Wysin , W. A. Moura-Melo , L. A. S. Mól , A. R. Pereira

Artificial spin ice systems, namely lattices of interacting single domain ferromagnetic islands, have been used to date as microscopic models of frustration induced by lattice topology, allowing for the direct visualization of spin…

Soft Condensed Matter · Physics 2016-02-03 Antonio Ortiz-Ambriz , Pietro Tierno

Theoretical proposals for spin ice analogs based on nanostructured superconductors have suggested larger flexibility for probing the effects of fluctuations and disorder than in the magnetic systems. In this work, we unveil the…

Superconductivity · Physics 2018-04-18 C. Xue , J. -Y. Ge , A. He , V. S. Zharinov , V. V. Moshchalkov , Y. H. Zhou , A. V. Silhanek , J. Van de Vondel

A numerical model of interacting nanomagnetic elements is used to demonstrate active inference with a three dimensional Artificial Spin Ice structure. It is shown that thermal fluctuations can drive this magnetic spin system to evolve under…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Robert L. Stamps , Rehana Begum Popy , Johan van Lierop

Kagome spin ice is one of the canonical examples of highly frustrated magnets. The effective magnetic degrees of freedom in kagome spin ice are Ising spins residing on a two-dimensional network of corner-sharing triangles. Due to strong…

Statistical Mechanics · Physics 2024-06-18 Zhijie Fan , Gia-Wei Chern

Here we study the statistical properties of two-dimensional spin ice in its ground state by the Monte Carlo simulation method. Using a new sampling algorithm, we show that the short-range ice rule in two dimensions gives rise to long-range…

Statistical Mechanics · Physics 2014-01-29 M. I. Ryzhkin

Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin coupling to the conventional Ising spin ice Hamiltonian on the…

Strongly Correlated Electrons · Physics 2025-10-28 Gloria Isbrandt , Frank Pollmann , Michael Knap

Artificial spin ices (ASIs) are interacting arrays of lithographically-defined nanomagnets in which novel frustrated magnetic phases can be intentionally designed. A key emergent description of fundamental excitations in ASIs is that of…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 M. Goryca , X. Zhang , J. Li , A. L. Balk , J. D. Watts , C. Leighton , C. Nisoli , P. Schiffer , S. A. Crooker

We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

Disordered Systems and Neural Networks · Physics 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer

We investigate the recently reported analogies between pinned vortices in nano-structured superconductors or colloids in optical traps, and spin ice materials. The frustration of the two models, one describing colloids and vortices, the…

Statistical Mechanics · Physics 2014-04-03 Cristiano Nisoli

There is a new class of two-dimensional magnetic materials polymeric iron (III) acetate fabricated recently in which Fe ions form a star lattice. We study the thermodynamics of Ising spins on the star lattice with exact analytic method and…

Strongly Correlated Electrons · Physics 2012-10-08 Zewei Chen , Nvsen Ma , Dao-Xin Yao

We investigate the recently reported analogies between pinned vortices in nano-structured superconductors or colloids in optical traps, and spin ice materials. The frustration of colloids and vortices differs essentially from spin ice.…

Statistical Mechanics · Physics 2021-11-18 Cristiano Nisoli

Geometric frustration usually arises in systems that comprise magnetic moments (spins) which reside on the sites of a lattice made up of elementary triangular or tetrahedral units and which interact via antiferromagnetic nearest-neighbor…

Statistical Mechanics · Physics 2009-03-17 Michel J. P. Gingras

This work makes a theoretical study of the dynamics of emergent elemental excitations in artificial spin ice systems with hexagonal geometry during the magnetic reversion of the system. The magnetic and physical parameters of the…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Alejandra Leon

Artificial spin ice systems have opened experimental windows into a range of model magnetic systems through the control of interactions among nanomagnet moments. This control has previously been enabled by altering the nanomagnet size and…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Susan Kempinger , Yu-Sheng Huang , Paul Lammert , Michael Vogel , Axel Hoffmann , Vincent H. Crespi , Peter Schiffer , Nitin Samarth

Nanomagnetic arrays are widespread in data storage and processing. As current technologies approach fundamental limits on size and thermal stability, extracting additional functionality from arrays is crucial to advancing technological…

Mesoscale and Nanoscale Physics · Physics 2018-05-07 J C Gartside , D M Arroo , D M Burn , V L Bemmer , A Moskalenko , L F Cohen , W R Branford

Small amplitude dipolar oscillations are considered in artificial spin ice on a square lattice in two dimensions. The net magnetic moment of each elongated magnetic island in the spin ice is assumed to have Heisenberg-like dynamics. Each…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Thomas D. Lasnier , G. M. Wysin

Emulation of gauge fields for ultracold atoms provides access to a class of exotic states arising in strong magnetic fields. Here we report on the experimental realisation of tunable staggered gauge fields in a periodically driven…

An exactly solvable spin-electron tetrahedral chain, where the Ising spins localized at nodal lattice sites regularly alternate with three equivalent lattice sites available for one mobile electron is considered. The system with…

Statistical Mechanics · Physics 2016-08-12 Lucia Galisova