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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

After removal of an applied magnetic field, artificial square spin ice can be left in a metastable remanent state, with nonzero residual magnetization and excess energy above the ground state. Using a model of magnetic islands with dipoles…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 G. M. Wysin

Ising models on a pyrochlore oxide lattice are usually associated with spin ice materials and "magnetic monopoles". Ever more often effects connecting magnetic and elastic degrees of freedom are reported on these and other related…

Strongly Correlated Electrons · Physics 2020-12-01 D. Slobinsky , L. Pili , G. Baglietto , S. A. Grigera , R. A. Borzi

We study the magnetic excitations of a square lattice spin-ice recently produced in an artificial form, as an array of nanoscale magnets. Our analysis, based upon the dipolar interaction between the nanomagnetic islands, correctly…

Materials Science · Physics 2009-09-24 L. A. S. Mol , R. L. Silva , R. C. Silva , A. R. Pereira , W. A. Moura-Melo , B. V. Costa

Dipolar interactions are crucial in the modeling of many complex magnetic systems, such as the pyrochlores and artificial spin systems. Remarkably, many classical dipolar coupled spin systems exhibit a continuous ground-state degeneracy,…

Statistical Mechanics · Physics 2019-07-24 Dominik Schildknecht , Michael Schütt , Laura J. Heyderman , Peter M. Derlet

Spin ice magnetic monopoles are fractionalized emergent excitations in a class of frustrated magnets called spin ices. The classical spin ice model has an extensive number of ground state spin configurations, whereas magnetic monopoles can…

Strongly Correlated Electrons · Physics 2018-07-09 Olga Petrova

We study classical spin ice under uniaxial strain along the $[111]$ crystallographic axis. Remarkably, such strain preserves the extensive ice degeneracy and the corresponding classical Coulomb phase. The emergent monopole excitations…

Strongly Correlated Electrons · Physics 2024-11-22 Zhongling Lu , Robin Schäfer , Jonathan N. Hallén , Chris R. Laumann

The close connection of electricity and magnetism is one of the cornerstones of modern physics. This connection plays crucial role from the fundamental point of view and in practical applications, including spintronics and multiferroic…

Strongly Correlated Electrons · Physics 2013-07-01 D. I. Khomskii

Distinct symmetry enriched topological orders often do not have classical distinctions. Motivated by the recent progress on the pyrochlore spin ice materials based on the dipole-octupole doublets, we argue that the dipolar spin liquid and…

Strongly Correlated Electrons · Physics 2026-05-07 Pengwei Zhao , Gang v. Chen

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

Artificial spin ice provides a versatile setting for emergent gauge fields and magnetic monopole excitations. Here we propose a driven-dissipative polariton realization of artificial spin ice, in which the circular polarization of each link…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Junhui Cao , Alexey Kavokin

Proceeding from the more general to the more concrete, we propose an equilibrium field theory describing spin ice systems in terms of topological charges and magnetic monopoles. We show that for a spin ice on a graph, the entropic…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 Cristiano Nisoli

Magnetic monopole unpairing as a function of external magnetic fields is presented as a fingerprint of this emergent quasiparticles freedom in a two-dimensional artificial spin ice system. Such freedom, required for example for further…

Mesoscale and Nanoscale Physics · Physics 2022-07-14 D. G. Duarte , L. B. de Oliveira , F. S. Nascimento , W. A. Moura-Melo , A. R. Pereira , 1 , C. I. L. de Araujo

In this work, we show that, due to the alternating orientation of the spins in the ground state of the artificial square spin ice, the influence of a set of spins at a certain distance of a reference spin decreases faster than the expected…

Statistical Mechanics · Physics 2023-08-31 C. W. Morais , D. N. de Freitas , A. L. Mota , E. C. Bastone

We study a frustrated two-dimensional array of dipoles forming an artificial rectangular spin ice with horizontal and vertical lattice parameters given by $a$ and $b$ respectively. We show that the ice regime could be stabilized by…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 F. S. Nascimento , L. A. S. Mól , W. A. Moura-Melo , A. R. Pereira

Competing ground states may lead to topologically constrained excitations such as domain walls or quasiparticles, which govern metastable states and their dynamics. Domain walls and more exotic topological excitations are well studied in…

Soft Condensed Matter · Physics 2021-06-09 Carl Merrigan , Cristiano Nisoli , Yair Shokef

Here we calculate the dynamic susceptibility and dynamic correlation function in spin ice using the model of emergent magnetic monopoles. Calculations are based on a method originally suggested for the description of dynamic processes in…

Strongly Correlated Electrons · Physics 2015-06-16 M. I. Ryzhkin , I. A. Ryzhkin , S. T. Bramwell

We present a detailed theoretical overview of the thermodynamic properties of the dipolar spin ice model, which has been shown to be an excellent quantitative descriptor of the Ising pyrochlore materials Dy_2Ti_2O_7 and Ho_2Ti_2O_7. We show…

Disordered Systems and Neural Networks · Physics 2015-06-24 Roger G. Melko , Matthew Enjalran , Byron C. den Hertog , Michel. J. P. Gingras

A general three-dimensional noncommutative quantum mechanical system mixing spatial and spin degrees of freedom is proposed. The analogous of the harmonic oscillator in this description contains a magnetic dipole interaction and the ground…

High Energy Physics - Theory · Physics 2009-10-06 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , P. A. G. Pisani

We study an exactly solvable spin-orbital model that can be regarded as a classical analogue of the celebrated Kitaev honeycomb model and describes interactions between Rydberg atoms on the ruby lattice. We leverage its local and nonlocal…

Strongly Correlated Electrons · Physics 2025-05-09 Weslei B. Fontana , Fabrizio G. Oliviero , Rodrigo G. Pereira , Willian M. H. Natori
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