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We present a study of the single spin flip stochastic dynamics of the two dimensional sixteen vertex model. We single out several dynamic regimes controlled by different processes that we describe. We analyse the emergence of very…

Statistical Mechanics · Physics 2013-10-01 Demian Levis , Leticia F. Cugliandolo

Artificial spin ices are arrays of correlated nano-scale magnetic islands that prove an excellent playground in which to study the role of topology in critical phenomena. Here, we investigate a continuum of spin ice geometries,…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Gavin M. Macauley , Gary W. Paterson , Yue Li , Rair Macêdo , Stephen McVitie , Robert L. Stamps

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

Recent studies in magnetic nanolithography show that a variety of complex magnetic states emerge as a function of a single magnetic island's aspect ratio. We propose a model which, in addition to fitting experiments, predicts magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Michael Saccone , Jack C. Gartside , Kilian D. Stenning , Will R. Branford , Francesco Caravelli

Artificial spin ices are periodic arrangements of interacting nanomagnets successfully used to investigate emergent phenomena in the presence of geometric frustration. Recently, it has been shown that artificial spin ices can be used as…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Susmita Saha , Jingyuan Zhou , Kevin Hofhuis , Attila Kákay , Valerio Scagnoli , Laura J. Heyderman , Sebastian Gliga

In classical and quantum frustrated magnets the interactions in combination with the lattice structure impede the spins to order in optimal configurations at zero temperature. The theoretical interest in their classical realisations has…

Statistical Mechanics · Physics 2017-02-01 Leticia F. Cugliandolo

We study the dynamics of 2d spin-ice following a quench from a fully disordered initial condition (equilibrium at infinite temperature) into its disordered, ferromagnetic and antiferromagnetic phases. We analyze the evolution of the density…

Statistical Mechanics · Physics 2012-02-13 Demian Levis , Leticia F. Cugliandolo

We present a thorough study of the static properties of 2D models of spin-ice type on the square lattice or, in other words, the sixteen-vertex model. We use extensive Monte Carlo simulations to determine the phase diagram and critical…

Statistical Mechanics · Physics 2013-04-10 Laura Foini , Demian Levis , Marco Tarzia , Leticia F. Cugliandolo

Frustrated lattices1-3, characterized by minor breakdown in local order in an otherwise periodic lattice, lead to simultaneous possibilities of several ground states which can trigger unique physical properties, in condensed matter systems.…

Mesoscale and Nanoscale Physics · Physics 2014-04-07 Satyendra Prakash Pal , P. Sen

The thermally-driven formation and evolution of vertex domains is studied for square artificial spin ice. A self consistent mean field theory is used to show how domains of ground state ordering form spontaneously, and how these evolve in…

Statistical Mechanics · Physics 2012-07-19 Zoe Budrikis , K. L. Livesey , J. P. Morgan , J. Akerman , A. Stein , S. Langridge , C. H. Marrows , R. L. Stamps

The evolution of three-dimensional, large-scale, magnetic fields, in a galactic disk is investigated numerically. The N-body simulations of galactic dynamics are incorporated into the kinematic calculations of induction equations to study…

Astrophysics · Physics 2007-05-23 K. Otmianowska-Mazur , S. von Linden , H. Lesch , G. Skupniewicz

Long-range ordering is typically associated with a decrease in entropy. Yet, it can also be driven by increasing entropy in certain special cases. We demonstrate that artificial spin ice arrays of single-domain nanomagnets can be designed…

We use the sixteen vertex model to describe bi-dimensional artificial spin ice (ASI). We find excellent agreement between vertex densities in fifteen differently grown samples and the predictions of the model. Our results demonstrate that…

Statistical Mechanics · Physics 2013-10-01 Demian Levis , Leticia F. Cugliandolo , Laura Foini , Marco Tarzia

We analyze the fate of spiral order in a one-dimensional system of localized magnetic moments coupled to itinerant electrons under a voltage bias. Within an adiabatic approximation for the dynamics of the localized spins, and in the…

Mesoscale and Nanoscale Physics · Physics 2024-12-18 Xiaohu Han , Pedro Ribeiro , Stefano Chesi

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

We have performed a systematic study of the effects of field strength and quenched disorder on the driven dynamics of square artificial spin ice. We construct a network representation of the configurational phase space, where nodes…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 Zoe Budrikis , Paolo Politi , Robert L Stamps

Understanding the fundamental dynamics of topological vortex and antivortex naturally formed in micro/nanoscale ferromagnetic building blocks under external perturbations is crucial to magnetic vortex based information processing and…

Materials Science · Physics 2018-08-29 Xuewen Fu , Shawn D. Pollard , Bin Chen , Byung-Kuk Yoo , Hyunsoo Yang , Yimei Zhu

Arrays of interacting magnetic nanostructures were introduced recently as a powerful approach to investigate experimentally the exotic many-body physics of frustrated spin models. Following a similar strategy based on…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 V. Schanilec , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

The modification of geometry and interactions in two-dimensional magnetic nanosystems has enabled a range of studies addressing the magnetic order, collective low-energy dynamics, and emergent magnetic properties, in e.g. artificial spin…

We consider the time evolution of entanglement in a finite two dimensional transverse Ising model. The model consists of a set of 7 localized spin-1/2 particles in a two dimensional triangular lattice coupled through nearest neighbor…

Quantum Physics · Physics 2015-03-18 Qing Xu , Gehad Sadiek , Sabre Kais
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