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For studying the interplay of dipolar interaction and anisotropy energy in systems of ultrafine magnetic particles we consider simple cubic systems of magnetic dipoles with anisotropy axes pointing into the $z$-direction. Using Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-11 Stefanie Russ , Armin Bunde

Magnetic frustrations and dimensionality play an important role in determining the nature of the magnetic long-range order and how it melts at temperatures above the ordering transition $T_N$. In this work, we use large-scale Monte Carlo…

Statistical Mechanics · Physics 2022-01-03 Matthew W. Butcher , Makariy A. Tanatar , Andriy H. Nevidomskyy

Frustrated itinerant magnets often exhibit complex noncollinear or noncoplanar magnetic orders which support topological electronic structures. A canonical example is the anomalous quantum Hall state with a chiral spin order stabilized by…

Strongly Correlated Electrons · Physics 2024-03-19 Yunhao Fan , Sheng Zhang , Gia-Wei Chern

Coupled order parameters in phase-transition materials can be controlled using various driving forces such as temperature, magnetic and electric field, strain, spin-polarized currents and optical pulses. Tuning the material properties to…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Vojtech Uhlir , Jon Ander Arregi , Eric E. Fullerton

We study the ordering kinetics in $d=2$ ferromagnets which corresponds to populated neuron activities with long-ranged interactions, $V(r)\sim r^{-n}$ associated with short-ranged interaction. We present the results from comprehensive Monte…

Neurons and Cognition · Quantitative Biology 2015-01-23 Awaneesh Singh , Jasleen Gundh , R. K. Brojen Singh

The behavior of many magnetic and dielectric solids, and the more contemporary magnetic super-lattices, is governed by dipolar interactions. They are anisotropic and long-ranged, having varied consequences ranging from ground states with…

Statistical Mechanics · Physics 2021-08-25 Shikha Kumari , Sanjay Puri , Varsha Banerjee

We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

Statistical Mechanics · Physics 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim

The low-energy magnetic configurations of artificial frustrated spin chains are investigated using magnetic force microscopy and micromagnetic simulations. Contrary to most studies on two-dimensional artificial spin systems where…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 V. -D. Nguyen , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

We study the ferromagnetic Ising model with long-range interactions in two dimensions. We first present results of a Monte Carlo study which shows that the long-range interactions dominate over the short-range ones in the intermediate…

Statistical Mechanics · Physics 2014-07-17 Thibault Blanchard , Marco Picco , M. A. Rajabpour

In this paper we study an Ising spin chain with short-range competing interactions in presence of long-range ferromagnetic interactions in the canonical ensemble. The simultaneous presence of the frustration induced by the short-range…

Statistical Mechanics · Physics 2019-09-04 Alessandro Campa , Giacomo Gori , Vahan Hovhannisyan , Stefano Ruffo , Andrea Trombettoni

The Heisenberg nearest neighbour antiferromagnet on the pyrochlore (3D) lattice is highly frustrated and does not order at low temperature where spin-spin correlations remain short ranged. Dzyaloshinsky-Moriya interactions (DMI) may be…

Strongly Correlated Electrons · Physics 2009-11-11 M. Elhajal , B. Canals , R. Sunyer i Borrell , C. Lacroix

We study an Ising model in one dimension with short range ferromagnetic and long range (power law) antiferromagnetic interactions. We show that the zero temperature phase diagram in a (longitudinal) field H involves a sequence of up and…

Statistical Mechanics · Physics 2012-08-16 Erik Nielsen , R. N. Bhatt , David A. Huse

We demonstrate the appearance of thermal order by disorder in Ising pyrochlores with staggered antiferromagnetic order frustrated by an applied magnetic field. We use a mean-field cluster variational method, a low-temperature expansion and…

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

Statistical Mechanics · Physics 2009-10-31 A. P. Vieira , L. L. Goncalves

The ordering temperature of a quasi-one-dimensional system, consisting of weakly interacting quantum spin-1/2 chains with antiferromagnetic spin-frustrating couplings (or zig-zag ladder) is calculated. The results show that a quantum…

Strongly Correlated Electrons · Physics 2009-11-13 A. A. Zvyagin , S. -L. Drechsler

The dynamical responses of Ising metamagnet (layered antiferromagnet) in the presence of a sinusoidally oscillating magnetic field are studied by Monte Carlo simulation. The time average staggered magnetisation plays the role of dynamic…

Statistical Mechanics · Physics 2011-07-21 Muktish Acharyya

We study quantum phase transitions in Heisenberg antiferromagnetic chains with a staggered power-law decaying long-range interactions. Employing the density-matrix renormalization group (DMRG) algorithm and the fidelity susceptibility as…

Strongly Correlated Electrons · Physics 2022-03-22 Jie Ren , Zhao Wang , Weixia Chen , Wen-Long You

Two-dimensional arrays of magnetically coupled nanomagnets provide a mesoscopic platform for exploring collective phenomena as well as realizing a broad range of spintronic devices. In particular, the magnetic coupling plays a critical role…

We study a 3-dimensional Ising model in which the tendency to order due to short-range ferromagnetic interactions is frustrated by competing long-range (Coulombic) interactions. Complete ferromagnetic ordering is impossible for any nonzero…

Statistical Mechanics · Physics 2009-10-31 P. Viot , G. Tarjus

The curvatures of two-particle energy levels with respect to the enclosed magnetic flux in mesoscopic disordered rings are investigated numerically. We find that the typical value of the curvatures is increased by interactions in the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Andre Wobst , Dietmar Weinmann