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Related papers: Entropy as a function of magnetization for a 2D sp…

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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

We examine the statistical mechanics of spin-ice materials with a [100] magnetic field. We show that the approach to saturated magnetisation is, in the low-temperature limit, an example of a 3D Kasteleyn transition, which is topological in…

Statistical Mechanics · Physics 2008-03-03 Ludovic D. C. Jaubert , J. T. Chalker , Peter C. W. Holdsworth , R. Moessner

Spin ice is a paradigmatic frustrated system famous for the emergence of magnetic monopoles and a large magnetic entropy at low temperatures. It exhibits unusual behavior in the presence of an external magnetic field as a result of the…

Strongly Correlated Electrons · Physics 2024-06-05 Mark Potts , Owen Benton

We study the nearest-neighbor spin-ice model subjected to a magnetic field applied along the global [111] and [110] directions, focusing on the role of sample geometry in stabilizing topological phase transitions. While no Kasteleyn…

Statistical Mechanics · Physics 2026-04-30 R. A. Borzi , E. S. Loscar , S. A. Grigera

Complex disordered states - from liquids and glasses to exotic quantum matter - are ubiquitous in nature. Their key properties include finite entropy, power-law correlations and emergent organising principles. In spin ice, spin correlations…

Other Condensed Matter · Physics 2007-08-24 T. Fennell , S. T. Bramwell , D. F. McMorrow , P. Manuel

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

We discuss the nearest neighbour spin ice model in the presence of a magnetic field placed along the cubic [100] direction. As recently shown in Phys. Rev. Lett. 100, 067207, 2008, the symmetry sustaining ordering transition observed at low…

Statistical Mechanics · Physics 2009-03-09 Ludovic D. C. Jaubert , J. T. Chalker , P. C. W. Holdsworth , R. Moessner

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

Magnetic monopole quasiparticles in spin ice materials hold the potential for exploring new frontiers of physics that extend beyond Maxwell's equations. We have previously proposed a two-dimensional magnetic monopole gas (2DMG), confined at…

Materials Science · Physics 2025-11-26 Prakash Timsina , Boris Kiefer , Ludi Miao

In the strong coupling limit the partition function of SU(2) gauge theory can be reduced to that of the continuous spin Ising model with nearest neighbour pair-interactions. The random cluster representation of the continuous spin Ising…

High Energy Physics - Lattice · Physics 2009-10-31 Piotr Bialas , Philippe Blanchard , Santo Fortunato , Daniel Gandolfo , Helmut Satz

We derive the thermodynamic entropy of the mean field $\phi^{6}$ spin model in the framework of the micro-canonical ensemble as a function of the energy and magnetization. Using the theory of large deviations and Rugh's micro-canonical…

Statistical Mechanics · Physics 2014-02-14 S. A. Alavi , S. Sarvari

Abstract We present finite-temperature Monte Carlo studies of a 2D random-anisotropy magnet on lattices containing one million spins. The correlated spin-glass state predicted by analytical theories is reproduced in simulations, as are the…

Materials Science · Physics 2025-02-14 Dmitry A. Garanin , Eugene M. Chudnovsky

We study dynamics in classical spin ice following a magnetic field quench to close to the Kasteleyn transition, using Monte Carlo simulations and dynamic scaling theory to characterize the relaxation of the magnetization and the density of…

Statistical Mechanics · Physics 2026-03-23 Sukla Pal , Stephen Powell

We consider the one-dimensional XY quantum spin chain in a transverse magnetic field. We are interested in the Renyi entropy of a block of L neighboring spins at zero temperature on an infinite lattice. The Renyi entropy is essentially the…

Quantum Physics · Physics 2010-02-16 F. Franchini , A. R. Its , V. E. Korepin

We study the residual entropy of the nearest-neighbor spin-ice model in a magnetic field along the [111] direction using the Wang-Landau Monte Carlo method, with a special attention to dilution effects. For a diluted model, we observe a…

Disordered Systems and Neural Networks · Physics 2021-09-01 Petr Andriushchenko , Konstantin Soldatov , Alexey Peretyatko , Yuriy Shevchenko , Konstantin Nefedev , Hiromi Otsuka , Yutaka Okabe

For the Ising model, the spin magnetization transition is equivalent to the percolation transition of Fortuin-Kasteleyn clusters; this result remains valid also for the conventional continuous spin Ising model. The investigation of more…

High Energy Physics - Lattice · Physics 2009-10-31 S. Fortunato , H. Satz

We analyze the entanglement entropy in the Lipkin-Meshkov-Glick model, which describes mutually interacting spins half embedded in a magnetic field. This entropy displays a singularity at the critical point that we study as a function of…

Statistical Mechanics · Physics 2007-05-23 J. I. Latorre , R. Orus , E. Rico , J. Vidal

In this article we study the classical nearest-neighbour spin-ice model (nnSI) by means of Monte Carlo simulations, using the Wang-Landau algorithm. The nnSI describes several of the salient features of the spin-ice materials. Despite its…

Strongly Correlated Electrons · Physics 2016-03-23 M. V. Ferreyra , G. Giordano , R. A. Borzi , J. J. Betouras , S. A. Grigera

We present a framework for modeling the transport of any number of globally conserved quantities in any spatial configuration and apply it to obtain a model of magnetization transport for spin-systems that is valid in new regimes (including…

Mesoscale and Nanoscale Physics · Physics 2014-08-15 Rico A. R. Picone , Joseph L. Garbini , John A. Sidles

Understanding quantum thermalization through entanglement build-up in isolated quantum systems addresses fundamental questions on how unitary dynamics connects to statistical physics. Here, we study the spin dynamics and approach towards…

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