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Related papers: Thermodynamics of the classical spin-ice model wit…

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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

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

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

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

We study the three-dimensional Kasteleyn transition in both nearest neighbours and dipolar spin ice models using an algorithm that conserves the number of excitations. We first limit the interactions range to nearest neighbours to test the…

Strongly Correlated Electrons · Physics 2017-01-04 M. L. Baez , R. A. Borzi

Evaluation of global thermodynamic properties, such as the entropy or the free energy, of complex systems featuring a high degree of frustration or disorder is often desirable. Nevertheless, they cannot be measured directly in standard…

Statistical Mechanics · Physics 2020-07-08 Marek Semjan , Milan Žukovič

A new model of localized highly frustrated ferromagnetism is presented: kagome spin ice. By use of analytical and Monte Carlo calculations its massive groundstate entropy is evaluated. Monte Carlo calculations are also used to explore the…

Materials Science · Physics 2007-05-23 A. S. Wills , R. Ballou , C. Lacroix

This paper presents a systematic study of the application of convolutional neural networks (CNNs) as an efficient and versatile tool for the analysis of critical and low-temperature phase states in spin system models. The problem of…

Computational Physics · Physics 2025-12-09 Dmitrii Kapitan , Pavel Ovchinnikov , Konstantin Soldatov , Petr Andriushchenko , Vitalii Kapitan

Coupled, dynamical spin-lattice models provide a unique test ground for simulations investigating the finite-temperature magnetic properties of materials under the direct influence of the lattice vibrations. These models are constructed by…

Statistical Mechanics · Physics 2016-12-28 Dilina Perera , Thomas Vogel , David P. Landau

We study the thermodynamics of Ising spins on the triangular kagome lattice (TKL) using exact analytic methods as well as Monte Carlo simulations. We present the free energy, internal energy, specific heat, entropy, sublattice…

Statistical Mechanics · Physics 2008-04-28 Yen Lee Loh , Dao-Xin Yao , Erica W. Carlson

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

An effective Ising model for the spin-ice type Kondo lattice model is investigated by the classical Monte Carlo simulation. We clarify the magnetic phase diagram with four phases: ice-ferro, ice-(0,0,2\pi), 32-sublattice, and all-in/all-out…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

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

We propose a detailed analysis of datasets generated from simulations of two-dimensional quantum spin systems using the quantum Ising model at absolute zero temperature. Our focus is on examining how fundamental physical properties, energy,…

Quantum Physics · Physics 2024-11-13 Rodrigo Carmo Terin

We investigate the classical counterpart of an effective Hamiltonian for a strongly trimerized kagome lattice. Although the Hamiltonian only has a discrete symmetry, the classical groundstate manifold has a continuous global rotational…

Statistical Mechanics · Physics 2007-05-23 A. Honecker , D. C. Cabra , H. -U. Everts , P. Pujol , F. Stauffer

We discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We…

Statistical Mechanics · Physics 2007-06-25 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

A continuous-time projection quantum Monte Carlo algorithm is employed to simulate the ground state of a short-range quantum spin-glass model, namely, the two-dimensional Edwards-Anderson Hamiltonian with transverse field, featuring…

Disordered Systems and Neural Networks · Physics 2024-12-24 L. Brodoloni , S. Pilati

After the discovery of the phenomena of light-induced excited spin state trapping (LIESST), the functional properties of metal complexes have been studied intensively. Among them, cooperative phenomena involving low spin-high spin…

Materials Science · Physics 2009-11-11 Kamel Boukheddaden , Masamichi Nishino , Seiji Miyashita , Francois Varret

We present thermodynamic and neutron scattering measurements on the quantum spin ice candidate Nd$_2$Zr$_2$O$_7$. The parameterization of the anisotropic exchange Hamiltonian is refined based on high-energy-resolution inelastic neutron…

Materials Science · Physics 2019-05-22 J. Xu , Owen Benton , V. K. Anand , A. T. M. N. Islam , T. Guidi , G. Ehlers , E. Feng , Y. Su , 6 A. Sakai , P. Gegenwart , B. Lake

Among the frustrated magnetic materials, spin-ice stands out as a particularly interesting system. Residual entropy, freezing and glassiness, Kasteleyn transitions and fractionalisation of excitations in three dimensions all stem from a…

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