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We consider a two-dimensional Ising model with random i.i.d. nearest-neighbor ferromagnetic couplings and no external magnetic field. We show that, if the probability of supercritical couplings is small enough, the system admits a…

无序系统与神经网络 · 物理学 2015-05-30 L. Bertini , Emilio N. M. Cirillo , E. Olivieri

Usually, the impact of structural disorder on the magnetic phase transition in the 3D Ising model is analyzed within the framework of quenched dilution by a non-magnetic component, where some lattice sites are occupied by Ising spins, while…

无序系统与神经网络 · 物理学 2025-03-04 J. J. Ruiz-Lorenzo , M. Dudka , M. Krasnytska , Yu. Holovatch

The influence of the tail features of the local magnetic field probability density function (PDF) on the ferromagnetic Ising model is studied in the limit of infinite range interactions. Specifically, we assign a quenched random field whose…

统计力学 · 物理学 2009-07-30 Silvio M. Duarte Queiros , Nuno Crokidakis , Diogo O. Soares-Pinto

We study the fixed-magnetization ferromagnetic Ising model on random $d$-regular graphs for $d\ge 3$ and inverse temperature below the tree reconstruction threshold. Our main result is that for each magnetization $\eta$, the free energy…

概率论 · 数学 2025-11-21 Reza Gheissari , Will Perkins , Corrine Yap

We study the order-disorder transition of the two dimensional interacting monomer-dimer model (IMD) which has two symmetric absorbing states. To be self-contained, we first estimate numerically the dynamic exponent $z$ of the two…

统计力学 · 物理学 2015-10-28 Su-Chan Park

The universality class of the dynamic magnetisation-reversal transition, induced by a competing field pulse, in an Ising model on a square lattice, below its static ordering temperature, is studied here using Monte Carlo simulations. Fourth…

统计力学 · 物理学 2009-11-07 Arnab Chatterjee , Bikas K. Chakrabarti

Quantum magnets in the $M\mathrm{Nb_2O_6}$ and BaCo$_2$V$_2$O$_8$ families realise frustrated transverse-field Ising models whose competing ferromagnetic and antiferromagnetic couplings generate a sign problem provably intractable for…

强关联电子 · 物理学 2026-03-26 Kumar Ghosh

Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for several values of the dilution. The results support the…

高能物理 - 格点 · 物理学 2009-10-30 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

We study the connection between the magnetization profiles of models described by a scalar field with marginal interaction term in a bounded domain and the solutions of the so-called Yamabe problem in the same domain, which amounts to…

统计力学 · 物理学 2021-09-02 Alessandro Galvani , Giacomo Gori , Andrea Trombettoni

According to renormalization theory, Ising systems above their upper critical dimensionality d_u = 4 have classical critical behavior and the ratio of magnetization moments Q = <m^2>^2 / <m^4> has the universal value 0.456947... However,…

凝聚态物理 · 物理学 2009-10-28 Erik Luijten , Henk W. J. Blöte

We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations of the quenched disorder decaying…

无序系统与神经网络 · 物理学 2015-05-28 Björn Ahrens , Alexander K. Hartmann

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

统计力学 · 物理学 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

We reanalyze transfer matrix and Monte Carlo results for the critical Binder cumulant U* of an anisotropic two-dimensional Ising model on a square lattice in a square geometry with periodic boundary conditions. Spins are coupled between…

统计力学 · 物理学 2013-04-25 Boris Kastening

The magnetization of the PrFeAsO$_{0.60}$F$_{0.12}$ polycrystalline sample has been measured as functions of temperature and magnetic field $(H)$. The observed total magnetization is the sum of a superconducting irreversible magnetization…

超导电性 · 物理学 2015-05-18 D. Bhoi , P. Mandal , P. Choudhury , S. Dash , A. Banerjee

In three dimensions, or more generally, below the upper critical dimension, scaling laws for critical phenomena seem well understood, for both infinite and for finite systems. Above the upper critical dimension of four, finite-size scaling…

统计力学 · 物理学 2007-05-23 M. A. Sumour , D. Stauffer , M. M. Shabat , A. H. El-Astal

We consider the critical behavior of two-dimensional Potts models in presence of a bond disorder in which the correlation decays as a power law. In some recent work the thermal sector of this theory was investigated by a renormalization…

无序系统与神经网络 · 物理学 2024-07-19 Ivan Lecce , Marco Picco , Raoul Santachiara

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

无序系统与神经网络 · 物理学 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn

We develop series expansions for the ground state properties of the Hubbard model, by introducing an Ising anisotropy into the Hamiltonian. For the two-dimensional (2D) square lattice half-filled Hubbard model, the ground state energy,…

凝聚态物理 · 物理学 2009-10-28 Zhu-Pei Shi , Rajiv R. P. Singh

We perform high-statistics Monte Carlo simulations of three three-dimensional Ising spin-glass models: the +-J Ising model for two values of the disorder parameter p, p=1/2 and p=0.7, and the bond-diluted +-J model for bond-occupation…

无序系统与神经网络 · 物理学 2009-11-13 M. Hasenbusch , A. Pelissetto , E. Vicari

The magnetization, $M(H \leq 30$ T, 0.7 K $\leq T \leq 300$ K), from single crystals and powder samples of (C$_{5}$H$_{12}$N)$_{2}$CuBr$_{4}$ has been used to identify this system as an $S=1/2$ Heisenberg two-leg ladder in the strong…