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Spin ice in a magnetic field in the [111] direction displays two magnetization plateaux, one at saturation and an intermediate one with finite entropy. We study the crossovers between the different regimes from a point of view of…

Statistical Mechanics · Physics 2007-05-23 S. V. Isakov , K. S. Raman , R. Moessner , S. L. Sondhi

We propose a classical model Hamiltonian with a ground state presenting a spin ice structure. We analyze the introduction of metastable excitations on this ground state, showing the emergence of pairs of magnetic monopoles. The interaction…

Materials Science · Physics 2016-11-15 J. E. da Fonseca , C. W. Morais , A. L. Mota , L. H. C. M. Nunes

In this work, we explore the magnetic behavior of diluted spin-ice systems, where magnetic moments are randomly removed at various concentrations. We concentrate on features in which the effect of long range dipolar interactions (usually…

Statistical Mechanics · Physics 2024-11-08 M. Gorsd , S. A. Grigera , R. A. Borzi

We study the properties of spin systems realized by cold polar molecules interacting via dipole-dipole interactions in two dimensions. Using a spin wave theory, that allows for the full treatment of the characteristic long-distance tail of…

Quantum Gases · Physics 2012-07-12 David Peter , Steffen Müller , Stefan Wessel , Hans Peter Büchler

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

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

The low temperature entropy of the the spin ice compounds, such as Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$, is well described by the nearest-neighbor antiferromagnetic Ising model on the pyrochlore lattice, i.e.\ by the ``ice rules''. This…

Statistical Mechanics · Physics 2007-05-23 S. V. Isakov , R. Moessner , S. L. Sondhi

The residual entropy of spin ice and other frustrated magnets is a property of considerable interest, yet the usual way of determining it, by integrating the heat capacity, is generally ambiguous. Here we note that a straightforward…

Strongly Correlated Electrons · Physics 2013-08-07 L. Bovo , S. T. Bramwell

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 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

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

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

The application of a magnetic field along the [111] direction in the spin ice compounds leads to two magnetization plateaux, in the first of which the ground state entropy is reduced but still remains extensive. We observe that under…

Statistical Mechanics · Physics 2007-05-23 R. Moessner , S. L. Sondhi

It has been proposed recently \cite{son} that excitations in Spin Ice can be of the form of magnetic monopoles that does not obey the Dirac Quantization Condition. It is also well known \cite{rj} that the above scenario leads to…

Strongly Correlated Electrons · Physics 2008-01-24 Subir Ghosh

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

Small amplitude dipolar oscillations are considered in artificial spin ice on a square lattice in two dimensions. The net magnetic moment of each elongated magnetic island in the spin ice is assumed to have Heisenberg-like dynamics. Each…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Thomas D. Lasnier , G. M. Wysin

Recent experiments on the spin-ice material Dy2Ti2O7 suggest that the Pauling "ice entropy", characteristic of its classical Coulombic spin-liquid state, may be lost at low temperatures [D. Pomaranski et al., Nature Phys. 9, 353 (2013)].…

Strongly Correlated Electrons · Physics 2015-09-16 Paul McClarty , Olga Sikora , Roderich Moessner , Karlo Penc , Frank Pollmann , Nic Shannon

Spin ice materials, such as Dy2Ti2O7 and Ho2Ti2O7, have been the subject of much interest for over the past fifteen years. Their low temperature strongly correlated state can be mapped onto the proton disordered state of common water ice…

Statistical Mechanics · Physics 2015-03-24 T. Lin , X. Ke , M. Thesberg , P. Schiffer , R. G. Melko , M. J. P. Gingras

Recently it has been suggested that long range magnetic dipolar interactions are responsible for spin ice behavior in the Ising pyrochlore magnets ${\rm Dy_{2}Ti_{2}O_{7}}$ and ${\rm Ho_{2}Ti_{2}O_{7}}$. We report here numerical results on…

Disordered Systems and Neural Networks · Physics 2009-10-31 Roger G. Melko , Byron C. den Hertog , Michel J. P. Gingras

The role of dipolar interactions and anisotropy are important to obtain, otherwise forbidden, ferromagnetic ordering at finite temperature for ions arranged in two-dimensional (2D) arrays (monolayers). Here we demonstrate that conventional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. K. Mukhopadhyay , M. K. Sanyal , T. Sakakibara , V. Leiner , R. M. Dalgliesh , S. Langridge
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