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In the simple [hyper]cubic five dimension near neighbor interaction Ising ferromagnet, extensive simulation measurements are made of the link overlap and the spin overlap distributions. These "two replica" measurements are standard in the…

Statistical Mechanics · Physics 2013-02-06 P. H. Lundow , I. A. Campbell

The search for problems where quantum adiabatic optimization might excel over classical optimization techniques has sparked a recent interest in inducing a finite-temperature spin-glass transition in quasi-planar topologies. We have…

Disordered Systems and Neural Networks · Physics 2018-05-28 Zheng Zhu , Andrew J. Ochoa , Helmut G. Katzgraber

The critical behavior of the classical Ising model on a three-dimensional fractal lattice with Hausdorff dimension $d_H = \ln32 / \ln4 = 2.5$ is investigated using the higher-order tensor renormalization group (HOTRG) method. We determine…

Statistical Mechanics · Physics 2025-06-27 Jozef Genzor , Roman Krčmár , Hiroshi Ueda , Denis Kochan , Andrej Gendiar , Tomotoshi Nishino

Phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is doubled when the linear size of the area is extended by a…

Statistical Mechanics · Physics 2016-02-02 Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

Recent numerical simulations indicate that several different equilibrium glass transitions may be characterized by diverging correlation lengths, and that these divergences are described by a non-mean-field, Ising-like, critical exponent. I…

Statistical Mechanics · Physics 2012-09-26 J. S. Langer

We report thermal expansion and heat capacity studies on Li$_2$FeSiO$_4$ single crystals which enable us to investigate the critical behavior in the magnetically quasi-two-dimensional (2D) material. Pronounced $\lambda$-shaped anomalies at…

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions in two-dimensional (2D)…

Statistical Mechanics · Physics 2024-09-05 Dagne Wordofa Tola , Mulugeta Bekele

We have performed a large scale Monte Carlo simulation of a dilute classical Heisenberg model with ferromagnetic nearest neighbor and antiferromagnetic next-nearest neighbor interactions. We found that the model reproduces a reentrant…

Disordered Systems and Neural Networks · Physics 2009-11-11 S. Abiko , S. Niidera , F. Matsubara

This article reviews recent progress of the analytical theory of quantum spin glasses (QSG). Exact results for infinite range and one loop renormalisation group calculations for finite range models of either insulating or metallic type are…

Disordered Systems and Neural Networks · Physics 2009-10-28 R. Oppermann , B. Rosenow

We study the thermodynamic properties of spin systems with bond-disorder on small-world hypergraphs, obtained by superimposing a one-dimensional Ising chain onto a random Bethe graph with p-spin interactions. Using transfer-matrix…

Statistical Mechanics · Physics 2009-11-13 D. Bollé , R. Heylen

We present numerical evidence using Monte Carlo simulations of finite-temperature phase transition in two dimensional Coulomb Glass lattice model with random site energies at half-filling. For the disorder strengths ($W$) studied in this…

Disordered Systems and Neural Networks · Physics 2019-07-31 Preeti Bhandari , Vikas Malik

We report the synthesis, structure, and magnetic and transport properties of a new ternary intermetallic compound PrRhSn3 which crystallizes in LaRuSn3-type cubic structure (space group Pm-3n). At low applied fields the dc magnetic…

Strongly Correlated Electrons · Physics 2014-07-22 V. K. Anand , D. T. Adroja , A. D. Hillier

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…

Disordered Systems and Neural Networks · Physics 2025-03-04 S. Efe Gurleyen , A. Nihat Berker

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

Statistical Mechanics · Physics 2009-06-03 A. Mobius , U. K. Roessler

We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground…

Disordered Systems and Neural Networks · Physics 2010-05-05 A. Andreanov , J. T. Chalker , T. E. Saunders , D. Sherrington

Suitable cluster definitions have allowed researchers to describe many ordering transitions in spin systems as geometric phenomena related to percolation. For spin glasses and some other systems with quenched disorder, however, such a…

Disordered Systems and Neural Networks · Physics 2023-05-04 Lambert Münster , Martin Weigel

We study the antiferromagnetic {\it XY} model on a triangular lattice by extensive Monte Carlo simulations, focusing on its ordering and critical properties. Our result clearly shows that two separate transitions occur at two distinct…

Statistical Mechanics · Physics 2012-05-31 Tomoyuki Obuchi , Hikaru Kawamura

We used mean-field theory based on the Bogoliubov inequality for the Gibbs free energy to examine the magnetic properties of a mixed spin-5/2 and spin-7/2 Blume-Capel ferrimagnetic system. The thermal behaviours of the system magnetization…

Statistical Mechanics · Physics 2019-10-03 M. Karimou , R. A. Yessoufou , G. Dimitri Ngantso , F. Hontinfinde , E. Albayrak

High-Curie-temperature ferromagnets are promising candidates for designing new spintronic devices. Here we have successfully synthesized a single-crystal sample of the itinerant ferromagnet Mn$ _{5}$Ge$_{3}$ used flux method and its…

Quantum phase transitions occur at zero temperature upon variation of some nonthermal control parameters. The Ising chain in a transverse field is probably the most-studied model undergoing such a transition, from ferromagnetic to…

Strongly Correlated Electrons · Physics 2011-03-02 Y. F. Dai , H. Zhang , S. Y. Zhou , B. Y. Pan , X. Qiu , X. C. Hong , T. Y. Guan , J. K. Dong , Y. Chen , S. Y. Li