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Bilayer rectangular artificial spin ices (BRASIs) with distinct aspect ratios, $\gamma$, are considered. Namely, we investigate how the underlying geometry modifies the interaction between two rectangular artificial spin ice layers…

Other Condensed Matter · Physics 2025-09-30 Gabriel A. Oliveira , Winder A. Moura-Melo , Afranio R. Pereira , Fabio S. Nascimento

Arrays of coupled nanomagnets have wide-ranging fundamental and practical applications in artificial spin ices, neuromorphic computing and spintronics. However, lacking in these fields are nanomagnets with perpendicular magnetic anisotropy…

We present a mechanism of resistivity minimum in conduction electron systems coupled with localized moments, which is distinguished from the Kondo effect. Instead of the spin-flip process in the Kondo effect, electrons are elastically…

Strongly Correlated Electrons · Physics 2015-06-03 Masafumi Udagawa , Hiroaki Ishizuka , Yukitoshi Motome

We present flatspin, a novel simulator for systems of interacting mesoscopic spins on a lattice, also known as artificial spin ice (ASI). Our magnetic switching criteria enables ASI dynamics to be captured in a dipole model. Through GPU…

The results of a numerical study of an ordered substitution of a double-segment into the unit cell of square artificial spin ice are presented. Each pattern vertex has three magnetic moment configurations that compete to form a magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-08-10 Ali Frotanpour , Lance E. DeLong

Strongly-interacting nanomagnetic arrays are finding increasing use as model host systems for reconfigurable magnonics. The strong inter-element coupling allows for stark spectral differences across a broad microstate space due to shifts in…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Jack C. Gartside , Alex Vanstone , Troy Dion , Kilian D. Stenning , Daan M. Arroo , Hide Kurebayashi , Will R. Branford

We have investigated the spin wave modes of strongly dipolar coupled, highly anisotropic nanoislands forming square artificial spin ice system using micromagnetic simulation in MUMAX3 in combination with Matlab coding. Artificial spin ice…

Mesoscale and Nanoscale Physics · Physics 2024-06-12 Nimisha Arora , Pintu Das

We study Z(2) lattice gauge theory on triangulations of a compact 3-manifold. We reformulate the theory algebraically, describing it in terms of the structure constants of a bidimensional vector space H equipped with algebra and coalgebra…

High Energy Physics - Theory · Physics 2008-11-26 N. Yokomizo , P. Teotonio-Sobrinho , J. C. A. Barata

Geometrically frustrated clusters of Ising spins of different shapes on a triangular lattice are studied by exact enumeration and Monte Carlo simulation. The focus is laid on the ground-state energy and residual entropy behaviors as…

Statistical Mechanics · Physics 2014-12-19 M. Žukovič , A. Bobák

A magnetic monopole in spin ice is a novel quasiparticle excitation in condensed matter physics, and we found that the ac frequency dependent magnetic susceptibility $\chi(\omega)$ in the two-dimensional (2D) spin ice (so-called kagom\'{e}…

We resolve the phase diagram of the $S=1$ pyrochlore spin ice, which exhibits trivial paramagnetic, U(1) Coulomb, and spin nematic phases. In the monopole-free limit, the system can be effectively mapped onto 3D $XY$ and Ising loop-gas…

Strongly Correlated Electrons · Physics 2026-03-18 Sena Watanabe , Yukitoshi Motome , Haruki Watanabe

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

The complexity embedded in condensed matter fertilizes the discovery of new states of matter, enriched by ingredients like frustration. Illustrating examples in magnetic systems are Kitaev spin liquids, skyrmions phases, or spin ices. These…

Strongly Correlated Electrons · Physics 2017-02-10 E. Lefrançois , V. Cathelin , E. Lhotel , J. Robert , P. Lejay , C. V. Colin , B. Canals , F. Damay , J. Ollivier , B. Fåk , L. C. Chapon , R. Ballou , V. Simonet

A \emph{monopole liquid} is a magnetic charge-disordered spin system defined over an Ising pyrochlore lattice, with one single topological charge or \emph{monopole} in each tetrahedron. We define a simple model Hamiltonian for this system…

Statistical Mechanics · Physics 2018-05-24 D. Slobinsky , G. Baglietto , R. A. Borzi

The possibilities of combining several degrees of freedom inside a unique material have recently been highlighted in their dynamics and proposed as information carriers in quantum devices where their cross-manipulation by external…

Strongly Correlated Electrons · Physics 2026-01-13 Y. Alexanian , J. Saugnier , C. Decorse , J. Robert , R. Ballou , E. Lhotel , J. Debray , F. Gay , V. Simonet , S. de Brion

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

A promising route to realize entangled magnetic states combines geometrical frustration with quantum-tunneling effects. Spin-ice materials are canonical examples of frustration, and Ising spins in a transverse magnetic field are the…

Spin ice, a peculiar thermal state of a frustrated ferromagnet on the pyrochlore lattice, has a finite entropy density and excitations carrying magnetic charge. By combining analytical arguments and Monte Carlo simulations, we show that…

Strongly Correlated Electrons · Physics 2011-05-24 Gia-Wei Chern , Paula Mellado , O. Tchernyshyov

We present a numerical study of magnetic ordering in spin ice on kagome, a two-dimensional lattice of corner-sharing triangles. The magnet has six ground states and the ordering occurs in two stages, as one might expect for a six-state…

Strongly Correlated Electrons · Physics 2012-11-21 Gia-Wei Chern , Oleg Tchernyshyov

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

Statistical Mechanics · Physics 2009-11-10 Palani Sundaramurthy , D. L. Stein