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We introduce an Ising spin-glass model with correlated disorder which continuously interpolates between the pure ferromagnetic Ising model and the Edwards-Anderson model with symmetric disorder. For this model, we prove that a Nishimori…

Disordered Systems and Neural Networks · Physics 2026-05-19 Hidetoshi Nishimori

The Z(3) gauge model with double plaquette representation of the action on a generalized Bethe lattice of plaquettes is constructed. It is reduced to the spin-1 Blume-Emery-Griffiths (BEG) model. An Ising-type critical line of a…

High Energy Physics - Lattice · Physics 2009-10-22 N. S. Ananikian , R. R. Shcherbakov

We study a contact process on a two-dimensional square lattice which is diluted by randomly removing bonds with probability p. For p<1/2 and varying birth rate $\lambda$ the model was shown to exhibit a continuous phase transition which…

Statistical Mechanics · Physics 2009-09-29 Silvio R. Dahmen , L. Sittler , H. Hinrichsen

The one-dimensional transverse Ising model is a paradigmatic example of quantum criticality. In spin-orbit coupled systems, however, effective Ising interactions arise alongside bond-dependent couplings such as Kitaev ($K$) and $\Gamma$…

Strongly Correlated Electrons · Physics 2026-03-17 Mandev Bhullar , Philip Richard , Hae-Young Kee

We present a nonperturbative renormalization-group approach to the Bose-Hubbard model. By taking as initial condition of the renormalization-group flow the (local) limit of decoupled sites, we take into account both local and long-distance…

Quantum Gases · Physics 2011-12-12 A. Rancon , N. Dupuis

A detailed investigation of the structural and magnetic properties, including magnetocaloric effect, re-entrant spin-glass behavior at low temperature, and critical behavior in polycrystalline Al$_2$MnFe Heusler alloy is reported. The…

The multicritical behavior at the Nishimori point of two-dimensional Ising spin glasses is investigated by using numerical transfer-matrix methods to calculate probability distributions $P(C)$ and associated moments of spin-spin correlation…

Statistical Mechanics · Physics 2009-11-10 S. L. A. de Queiroz , R. B. Stinchcombe

We consider the critical properties of points of continuous glass transition as one can find in liquids in presence of constraints or in liquids in porous media. Through a one loop analysis we show that the critical Replica Field Theory…

Statistical Mechanics · Physics 2015-03-20 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi

A few paradigmatic one-dimensional lattice-statistical spin models have recently attracted a vigorous scientific interest owing to their peculiar thermodynamic behavior, which is highly reminiscent of a temperature-driven phase transition.…

Statistical Mechanics · Physics 2020-08-17 Jozef Strecka

We study ground-state properties of the two-dimensional random-bond Ising model with couplings having a concentration $p\in[0,1]$ of antiferromagnetic and $(1-p)$ of ferromagnetic bonds. We apply an exact matching algorithm which enables us…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. Amoruso , A. K. Hartmann

The competition between spin glass ($SG$) and antiferromagnetic order ($AF$) is analyzed in two sublattice fermionic Ising models in the presence of a transverse $\Gamma$ and a parallel $H$ magnetic fields. The exchange interaction follows…

Strongly Correlated Electrons · Physics 2015-06-25 F. M. Zimmer , S. G. Magalhaes

An inhomogeneous random recursive lattice was constructed from the multi-branched Husimi square lattice. The number of repeating units connected on one vertex was randomly set to be 2 or 3 with a quenched ratio $P_2$ or $P_3$ with…

Statistical Mechanics · Physics 2016-09-21 Ran Huang

Using transfer-matrix extended phenomenological renormalization-group methods the critical properties of spin-1/2 Ising model on a simple-cubic lattice with partly anisotropic coupling strengths ${\vec J}=(J',J',J)$ are studied.…

Statistical Mechanics · Physics 2009-11-10 M. A. Yurishchev

The Ising and BEG models critical behavior is analyzed in 2D and 3D by means of a renormalization group scheme on small clusters made of a few lattice cells. Different kinds of cells are proposed for both ordered and disordered model cases.…

Statistical Mechanics · Physics 2014-12-23 Fabrizio Antenucci , Andrea Crisanti , Luca Leuzzi

We consider the three-dimensional randomly diluted Ising model and study the critical behavior of the static and dynamic spin-spin correlation functions (static and dynamic structure factors) at the paramagnetic-ferromagnetic transition in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic nearest-neighbor interactions ($J_{1}$) and antiferromagnetic next-nearest-neighbor couplings ($J_{2}$) are analyzed in the plane…

The classical Heisenberg antiferromagnet with uniaxial exchange anisotropy, the XXZ model, and competing planar single-ion anisotropy in a magnetic field on a simple cubic lattice is studied with the help of extensive Monte Carlo…

Statistical Mechanics · Physics 2015-06-12 Walter Selke

A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the…

Condensed Matter · Physics 2009-11-07 I. S. Queiroz , F. A. da Costa , F. D. Nobre

Numerical data on scaling of the normalized Binder cumulant and the normalized correlation length are shown for the Thermodynamic limit regime, first for canonical Ising ferromagnet models and then for a range of Ising spin glass models. A…

Disordered Systems and Neural Networks · Physics 2016-07-15 P. H. Lundow , I. A. Campbell

We critically discuss the results reported in arXiv:2311.17994v1 by L. Oppenheim, M. Koch-Janusz, S. Gazit, and Z. Ringel, on the multicritical behavior of the three-dimensional Ising-Gauge model at the multicritical point. We argue that…

Statistical Mechanics · Physics 2024-01-22 Claudio Bonati , Andrea Pelissetto , Ettore Vicari
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