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相关论文: Color symmetry and ferromagnetism in Potts spin gl…

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The Potts spin glass is an analogue of the Sherrington-Kirkpatrick model in which each spin can take one of $\kappa$ possible values, which we interpret as colors. It was suggested in arXiv:2310.06745 that the order parameter for this model…

概率论 · 数学 2025-03-12 Jean-Christophe Mourrat

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

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low…

无序系统与神经网络 · 物理学 2009-11-07 S. Franz , M. Mezard , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

We show that color symmetry is preserved at high temperatures in the Potts spin glass model with $\kappa \ge 3$ colors. Our proof employs the second moment method applied to the balanced model with a suitable centering of the Hamiltonian,…

概率论 · 数学 2026-03-03 Heejune Kim

We study a 7-state Potts glass model in three dimensions with first, second, and third neighbor interactions with a bimodal distribution of couplings by Monte Carlo simulations. Our results show the existence of a spin-glass transition at a…

无序系统与神经网络 · 物理学 2015-03-11 Takashi Takahashi , Koji Hukushima

In the series La_{2/3-x}Tb_{x}Ca_{1/3}MnO_{3}, it is known that the compositions are ferromagnetic for smaller values of x and show spin glass characteristics at larger values of x. Our studies on the magnetic properties of various…

强关联电子 · 物理学 2009-11-13 C. Raj Sankar , S. Vijayanand , P. A. Joy

We solve the q-state Potts model with anti-ferromagnetic interactions on large random lattices of finite coordination. Due to the frustration induced by the large loops and to the local tree-like structure of the lattice this model behaves…

无序系统与神经网络 · 物理学 2008-02-05 Florent Krzakala , Lenka Zdeborová

The competition among spin glass (SG), ferromagnetism and Kondo effect has been analysed in a Kondo lattice model where the inter-site coupling $J_{ij}$ between the localized magnetic moments is given by a generalized Mattis model…

无序系统与神经网络 · 物理学 2009-11-10 S. G. Magalhães , F. M. Zimmer , P. R. Krebs

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

The Ising spin-glass model on the three-dimensional (d=3) hierarchical lattice with long-range ferromagnetic or spin-glass interactions is studied by the exact renormalization-group solution of the hierarchical lattice. The chaotic…

无序系统与神经网络 · 物理学 2025-03-04 S. Efe Gurleyen , A. Nihat Berker

uch experimental and theoretical efforts have been devoted in the past twenty years to search for a genuine thermodynamic reentrant phase transition from a ferromagnetic to either a paramagnetic or spin glass phase in disordered…

无序系统与神经网络 · 物理学 2009-10-31 M. J. P. Gingras , Erik S. Sorensen

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

The Stoner criterion for ferromagnetism arises from interaction-driven asymmetric filling of spin bands, requiring that the spin susceptibility: (i) peaks dominantly at $\mathbf{Q}=\bm{0}$; and (ii) diverges at a critical interaction…

强关联电子 · 物理学 2025-10-02 Chen Lu , Chao Cao , Huiqiu Yuan , Piers Coleman , Lun-Hui Hu

True ground states are evaluated for a 2d Ising model with random near neighbor interactions and ferromagnetic second neighbor interactions (the Randomly Coupled Ferromagnet). The spin glass stiffness exponent is positive when the absolute…

无序系统与神经网络 · 物理学 2009-10-31 A. K. Hartmann , 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

We consider the spherical spin glass model defined by a combination of the pure 2-spin spherical Sherrington-Kirkpatrick Hamiltonian and the ferromagnetic Curie-Weiss Hamiltonian. In the large system limit, there is a two-dimensional phase…

概率论 · 数学 2018-10-17 Jinho Baik , Ji Oon Lee , Hao Wu

The competition between spin glass, ferromagnetism and Kondo effect is analysed here in a Kondo lattice model with an inter-site random coupling $J_{ij}$ between the localized magnetic moments given by a generalization of the Mattis model…

强关联电子 · 物理学 2009-11-11 S. G. Magalhaes , F. M. Zimmer , P. R. Krebs , B. Coqblin

We consider an infinite-range spherical p-spin glass model with an additional r-spin ferromagnetic interaction, both statically using a replica analysis and dynamically via a generating functional method. For r>2 we find that there are…

无序系统与神经网络 · 物理学 2009-10-31 Peter Gillin , David Sherrington

We present details of the phase diagrams of fermionic systems with random and frustrated interactions, emphasizing the important role of the chemical potential. The insulating fermionic Ising spin glass model is shown to reveal different…

无序系统与神经网络 · 物理学 2007-05-23 R. Oppermann , B. Rosenow

The Blume-Emery-Griffiths spin glass is studied by renormalization-group theory in d=3. The boundary between the ferromagnetic and paramagnetic phases has first-order and two types of second-order segments. This topology includes an…

无序系统与神经网络 · 物理学 2009-03-07 V. Ongun Özçelik , A. Nihat Berker
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