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We demonstrate numerically that for Ising spins on square lattices with ferromagnetic second neighbour interactions and random near neighbour interactions, two dimensional Ising spin glass order with a non-zero freezing temperature can…

凝聚态物理 · 物理学 2009-10-28 N. Lemke , I. A. Campbell

The d=1 Ising ferromagnet and spin glass with long-range power-law interactions J r^-a is studied for all interaction range exponents a by a renormalization-group transformation that simultaneously projects local ferromagnetism and…

统计力学 · 物理学 2025-09-25 E. Can Artun , A. Nihat Berker

A mean-field multi-spin interaction spin glass model is analyzed in the presence of a ferromagnetic coupling. The static and dynamical phase diagrams contain four phases (paramagnet, spin glass, ordinary ferromagnet and glassy ferromagnet)…

无序系统与神经网络 · 物理学 2009-10-31 J. A. Hertz , David Sherrington , Th. M. Nieuwenhuizen

We study the competition between ferromagnetic and spin glass phases using a system of coupled infinite-range Ising and Sherrington-Kirkpatrick models. We obtain the replica-symmetric solution for the free energy of this system in terms of…

无序系统与神经网络 · 物理学 2023-06-28 Fateme Izadi , Reza Sepehrinia

In this paper we study the phase diagram of the disordered Ising ferromagnet. Within the framework of the Gaussian variational approximation it is shown that in systems with a finite value of the disorder in dimensions D=4 and D < 4 the…

无序系统与神经网络 · 物理学 2009-11-07 Gilles Tarjus , Victor Dotsenko

The ground-state phase diagram of an Ising spin-glass model on a random graph with an arbitrary fraction $w$ of ferromagnetic interactions is analysed in the presence of an external field. Using the replica method, and performing an…

无序系统与神经网络 · 物理学 2012-10-12 M. O. Hase , J. R. L. de Almeida , S. R. Salinas

The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior. The bonds are drawn from a Gaussian distribution with a…

无序系统与神经网络 · 物理学 2021-04-21 L. Münster , C. Norrenbrock , A. P. Young , A. K. Hartmann

We study the 1D quantum Heisenberg chain with randomly ferromagnetic or antiferromagnetic couplings (a model previously studied by approximate strong-disorder RG). We find that, at least for sufficiently large spin $S$, the ground state has…

强关联电子 · 物理学 2024-08-26 Michele Fava , Jesper Lykke Jacobsen , Adam Nahum

We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first…

无序系统与神经网络 · 物理学 2009-11-07 Peter Gillin , Hidetoshi Nishimori , David Sherrington

By means of extensive computer simulations we analyze in detail the two dimensional $\pm J$ Ising spin glass with ferromagnetic next-nearest-neighbor interactions. We found a crossover from ferromagnetic to ``spin glass'' like order both…

统计力学 · 物理学 2009-10-31 G. Parisi , J. J. Ruiz-Lorenzo , D. Stariolo

Using ground state computations, we study the transition from a spin glass to a ferromagnet in 3-d spin glasses when changing the mean value of the spin-spin interaction. We find good evidence for replica symmetry breaking up till the…

无序系统与神经网络 · 物理学 2009-11-07 F. Krzakala , O. C. Martin

A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entropy of metastable states. We consider the problem of what…

统计力学 · 物理学 2009-11-07 David S. Dean , Alexandre Lefèvre

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

统计力学 · 物理学 2008-02-03 T. Nattermann

We investigate magnetic properties of a two-dimensional periodic structure with Ising spins and antiferromagnetic nearest neighbor interaction. The structure is topologically equivalent to the Archimedean (3,12^2) lattice. The ground state…

统计力学 · 物理学 2007-05-23 M. J. Krawczyk , K. Malarz , B. Kawecka-Magiera , A. Z. Maksymowicz , K. Kulakowski

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

无序系统与神经网络 · 物理学 2007-05-23 P. N. Timonin

We show using extensive simulation results and physical arguments that an Ising system on a two dimensional square lattice, having interactions of random sign between first neighbors and ferromagnetic interactions between second neighbors,…

无序系统与神经网络 · 物理学 2009-10-31 N. Lemke , I. A. Campbell

For many real spin-glass materials, the Edwards-Anderson model with continuous-symmetry spins is more realistic than the rather better understood Ising variant. In principle, the nature of an occurring spin-glass phase in such systems might…

无序系统与神经网络 · 物理学 2008-04-28 Martin Weigel , Michel J. P. Gingras

We study how the ground state of the two-dimensional Ising spin glass with Gaussian interactions in zero magnetic field changes on altering the boundary conditions. The probability that relative spin orientations change in a region far from…

无序系统与神经网络 · 物理学 2009-10-31 Matteo Palassini , A. P. Young

It is well established that the ferromagnetic phase remains stable under random magnetic fields in three and higher dimensions for the ferromagnetic Ising model and the Edwards-Anderson model of spin glasses without correlation in the…

无序系统与神经网络 · 物理学 2025-04-11 Hidetoshi Nishimori

We consider the ferromagnetic Ising model on the Cayley tree and we investigate the decomposition of the free state into extremal states below the spin glass temperature. We show that this decomposition has uncountably many components. The…

统计力学 · 物理学 2019-05-08 Daniel Gandolfo , Christian Maes , Jean Ruiz , Senya Shlosman
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