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We construct a model of short-range interacting Ising spins on a translationally invariant two-dimensional lattice that mimics a reversible circuit that multiplies or factorizes integers, depending on the choice of boundary conditions. We…

Statistical Mechanics · Physics 2019-10-09 Lei Zhang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

Modern atomistic spin simulations combine long stochastic trajectories, thermodynamic sampling, static optimization and multi-image transition-path workflows, all of which rely on repeated evaluation of spin Hamiltonians and become…

Computational Physics · Physics 2026-05-26 Qichen Xu , Anna Delin

We present a computationally efficient general first-principles based method for spin-lattice simulations for solids. Our method is based on a combination of atomistic spin dynamics and molecular dynamics, expressed through a spin-lattice…

We show that by displacing two optical lattices with respect to each other, we may produce interactions similar to the ones describing ferro-magnetism in condensed matter physics. We also show that particularly simple choices of the…

Quantum Physics · Physics 2009-01-23 Anders Sorensen , Klaus Molmer

Artificial spin ice has become a valuable tool for understanding magnetic interactions on a microscopic level. The strength in the approach lies in the ability of a synthetic array of nanoscale magnets to mimic crystalline materials,…

Materials Science · Physics 2011-12-23 Stephen A. Daunheimer , Olga Petrova , Oleg Tchernyshyov , John Cumings

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

The recent identification of the dysprosium titanate compound $Dy_2 Ti_2 O_7$ as a ``Spin-Ice'', i.e. the spin analog of regular entropic ice of Pauling, has created considerable excitement. The ability to manipulate spins using magnetic…

Statistical Mechanics · Physics 2009-11-07 B. Sriram Shastry

A unified model of molecular and atomistic spin dynamics is presented enabling simulations both in microcanonical and canonical ensembles without the necessity of additional phenomenological spin damping. Transfer of energy and angular…

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

Disordered Systems and Neural Networks · Physics 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen

Using zero temperature Monte Carlo simulations we have studied the magnetic hysteresis in a three-dimensional Ising model with nearest neighbor exchange and dipolar interaction. The average magnetization of spins located inside a sphere on…

Condensed Matter · Physics 2009-10-31 Gyorgy Szabo , Gyorgy Kadar

The Quasi-Frozen Spin (QFS) method was proposed by Yu. Senichev et al. in [1] as an alternative to the Frozen Spin (FS) method [2] for the search of deuteron electric dipole moment (dEDM). The QFS approach simplifies the design of the…

Accelerator Physics · Physics 2020-01-22 Eremey Valetov , Yurij Senichev , Martin Berz

Magnetic analogue of an isolated free electric charge, i.e., a magnet with a single north or south pole, is a long sought-after particle which remains elusive so far. In magnetically frustrated pyrochlore solids, a classical analogue of…

Mesoscale and Nanoscale Physics · Physics 2021-07-02 N. Keswani , R. Lopes , Y. Nakajima , R. Singh , N. Chauhan , T. Som , S. Kumar , A. R. Pereira , P. Das

The self-organized Monte Carlo simulations of 2D Ising ferromagnet on the square lattice are performed. The essence of devised simulation method is the artificial dynamics consisting of the single-spin-flip algorithm of Metropolis…

Computational Physics · Physics 2009-11-10 Denis Horvath , Martin Gmitra

Spintronics logic devices based on majority gates formed by atomic-level arrangements of spins in the crystal lattice is considered. The dynamics of switching is modeled by time-dependent solution of the density-matrix equation with…

Mesoscale and Nanoscale Physics · Physics 2007-11-15 Dmitri E. Nikonov , George I. Bourianoff , Paolo A. Gargini

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

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

Emergent quasiparticles that arise from the fractionalization of the microscopic degrees of freedom have been one of the central themes in modern condensed matter physics. The notion of magnetic monopoles, freely moving quasiparticles…

Strongly Correlated Electrons · Physics 2016-06-10 Gia-Wei Chern , Paula Mellado

We study the implications of the anisotropic magnetic resistance on permalloy nanowires, and in particular on the property of the resistance depending on the type of lattice. We discuss how the internal spin configuration of artificial spin…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Francesco Caravelli , Gia-Wei Chern , Cristiano Nisoli

In this work we study demagnetization protocols for an artificial spin ice in a triangular geometry. Our results show that a simple hysteresis-like process is very efficient in driving the system to its ground state, even for a relatively…

Mesoscale and Nanoscale Physics · Physics 2013-10-15 J. H. Rodrigues , L. A. S. Mól , W. A. Moura-Melo , A. R. Pereira

We have studied the temperature and magnetic field dependence of the total magnetic moment of large-area permalloy artificial square spin ice arrays. The temperature dependence and hysteresis behavior are consistent with the coherent…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 N. S. Bingham , X. Zhang , J. Ramberger , O. Heinonen , C. Leighton , P. Schiffer