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The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. The model is studied through the replica method and phase diagrams are…

统计力学 · 物理学 2009-10-31 J. M. de Araujo , F. D. Nobre , F. A. da Costa

Recently, it has been found that an effective long-range interaction is realized among local bistable variables (spins) in systems where the elastic interaction causes ordering of the spins. In such systems, generally we expect both…

统计力学 · 物理学 2011-08-12 Taro Nakada , Per Arne Rikvold , Takashi Mori , Masamichi Nishino , Seiji Miyashita

Three-dimensional Ising model with the plaquette-type (next-nearest-neighbor and four-spin) interactions is investigated numerically. This extended Ising model, the so-called gonihedric model, was introduced by Savvidy and Wegner as a…

统计力学 · 物理学 2009-11-10 Yoshihiro Nishiyama

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three…

无序系统与神经网络 · 物理学 2008-03-12 Ferenc Iglói , Yu-Cheng Lin , Heiko Rieger , Cécile Monthus

The transverse-field $XY$ spin chain with competing antiferromagnetic long-range interactions, $J_r \propto 1/r^\alpha$ ($r$: distance between spins), and the exponent $\alpha$ was investigated numerically. The main concern is to clarify…

统计力学 · 物理学 2023-08-23 Yoshihiro Nishiyama

We study numerically the region above the critical temperature of the four dimensional Random Field Ising Model. Using a cluster dynamic we measure the connected and disconnected magnetic susceptibility and the connected and disconnected…

无序系统与神经网络 · 物理学 2009-10-30 Roberto Sacconi

The lace expansion has been a powerful tool for investigating mean-field behavior for various stochastic-geometrical models, such as self-avoiding walk and percolation, above their respective upper-critical dimension. In this paper, we…

数学物理 · 物理学 2007-05-23 Akira Sakai

In this work we study non-Hermitian extensions of the paradigmatic spin-1/2 XY chain in a magnetic field. Using the mapping of the model to free fermion form, we provide analytical insights into the energy spectrum of the non-Hermitian…

量子物理 · 物理学 2025-07-15 D. C. Liu , Murray T. Batchelor

We report our Monte Carlo results on the critical and multicritical behavior of the +- J Ising model [with a random-exchange probability P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)], in two and three dimensions. We study the…

无序系统与神经网络 · 物理学 2009-02-17 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

In this work, the susceptibility of the square lattice Ising model is investigated using the recently obtained average magnetization interrelation, which is given by $\langle\sigma_{0, i}\rangle=…

统计力学 · 物理学 2022-08-05 Tuncer Kaya

We present a new way of probing the universality class of the site-diluted two-dimensional Ising model. We analyse Monte Carlo data for the magnetic susceptibility, introducing a new fitting procedure in the critical region applicable even…

统计力学 · 物理学 2008-12-18 Lev N. Shchur , Oleg A. Vasilyev

The transverse-field Ising model is widely studied as one of the simplest quantum spin systems. It is known that this model exhibits a phase transition at the critical inverse temperature $\beta_{\mathrm{c}}$, which is determined by the…

数学物理 · 物理学 2025-09-01 Yoshinori Kamijima , Akira Sakai

A conjecture is given for the exact location of the multicritical point in the phase diagram of the +/- J Ising model on the triangular lattice. The result p_c=0.8358058 agrees well with a recent numerical estimate. From this value, it is…

无序系统与神经网络 · 物理学 2007-05-23 Hidetoshi Nishimori , Masayuki Ohzeki

We study the scaling of the traces of the integer powers of the partially transposed reduced density matrix and of the entanglement negativity for two spin blocks as function of their length and separation in the critical Ising chain. For…

统计力学 · 物理学 2015-06-12 Pasquale Calabrese , Luca Tagliacozzo , Erik Tonni

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

高能物理 - 格点 · 物理学 2020-07-13 Michele Caselle , Marianna Sorba

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations [C. C. Rulli,…

量子物理 · 物理学 2013-04-24 S. Campbell , L. Mazzola , G. De Chiara , T. J. G Apollaro , F. Plastina , Th. Busch , M. Paternostro

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 $\Gamma$…

强关联电子 · 物理学 2026-03-17 Mandev Bhullar , Philip Richard , Hae-Young Kee

The Ising spin-glasses are investigated on three dual pairs of hierarchical lattices, using exact renormalization-group transformation of the quenched bond probability distribution. The goal is to investigate a recent conjecture which…

无序系统与神经网络 · 物理学 2007-05-23 Michael Hinczewski , A. Nihat Berker

We investigate the complex-temperature singularities of the susceptibility of the 2D Ising model on a square lattice. From an analysis of low-temperature series expansions, we find evidence that as one approaches the point $u=u_s=-1$ (where…

高能物理 - 格点 · 物理学 2009-10-22 V. Matveev , R. Shrock

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

统计力学 · 物理学 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari