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In this work, we study the critical behavior of second order points and specifically of the Lifshitz point (LP) of a three-dimensional Ising model with axial competing interactions (ANNNI model), using time-dependent Monte Carlo…

Statistical Mechanics · Physics 2016-12-28 Roberto da Silva , Nelson Alves , J. R. Drugowich de Felício

We employ large-scale Monte Carlo simulations to study a particle-hole symmetric site-diluted quantum rotor model in two dimensions. The ground state phase diagram of this system features two distinct quantum phase transitions between the…

Quantum Gases · Physics 2017-11-15 Martin Puschmann , Thomas Vojta

Phase transition of the classical Ising model on the Sierpi\'{n}ski carpet, which has the fractal dimension $\log_3^{~} 8 \approx 1.8927$, is studied by an adapted variant of the higher-order tensor renormalization group method. The…

Statistical Mechanics · Physics 2023-06-27 Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

The fixed point structure of the 2D 3-state random-bond Potts model with a bimodal ($\pm$J) distribution of couplings is for the first time fully determined using numerical renormalization group techniques. Apart from the pure and T=0…

Disordered Systems and Neural Networks · Physics 2009-10-31 Erik Sorensen , Michel Gingras , David Huse

Accurate numerical results are presented for the three-dimensional equivalent-neighbor model on a cubic lattice, for twelve different interaction ranges (coordination number between 18 and 250). These results allow the determination of the…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten

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 have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

Disordered Systems and Neural Networks · Physics 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

The critical behavior of a model describing phase transitions in 3D antiferromagnets with 2N-component real order parameters is studied within the renormalization-group (RG) approach. The RG functions are calculated in the three-loop order…

Statistical Mechanics · Physics 2009-10-31 A. I. Sokolov , K. B. Varnashev

Mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice with sublattices A, B and C are studied for two spin value distributions $(S_{\rm A},S_{\rm B},S_{\rm C})=(1/2,1/2,1)$ and $(1/2,1,1)$ by Monte Carlo simulations. The…

Statistical Mechanics · Physics 2015-06-02 M. Žukovič , A. Bobák

Based on extensive parallel-tempering Monte Carlo simulations, we investigate the relationship between cluster percolation and equilibrium ordering phenomena in the three-dimensional $\pm J$ random-bond Ising model as one varies the…

Disordered Systems and Neural Networks · Physics 2026-03-05 Lambert Münster , Martin Weigel

Renormalization-group theory predicts that the XXZ antiferromagnet in a magnetic field along the easy Z-axis has asymptotically either a tetracritical phase-diagram or a triple point in the field-temperature plane. Neither experiments nor…

Statistical Mechanics · Physics 2022-09-30 A. Aharony , O. Entin-Wohlman

AC magnetic susceptibility of a single crystal of MnSi was measured along the ferromagnetic phase-transition line up to a pressure of 0.8 GPa created by compressed helium. The results show that the tricritical point is situated at much…

Strongly Correlated Electrons · Physics 2009-11-11 Alla E. Petrova , Vladimir Krasnorussky , John Sarrao , Sergei M. Stishov

We propose a duality analysis for obtaining the critical manifold of two-dimensional spin glasses. Our method is based on the computation of quenched free energies with periodic and twisted periodic boundary conditions on a finite basis.…

Disordered Systems and Neural Networks · Physics 2015-06-23 Masayuki Ohzeki , Jesper Lykke Jacobsen

The quantum error correction threshold is closely related to the Nishimori physics of random statistical models. We extend quantum information measures such as coherent information beyond the Nishimori line and establish them as sharp…

Statistical Mechanics · Physics 2026-04-20 Zhou-Quan Wan , Xu-Dong Dai , Guo-Yi Zhu

We investigate the universality class of the finite-temperature phase transition of the two-dimensional Ising model with the algebraically decaying ferromagnetic long-range interaction, $J_{ij} = |\vec{r}_i -\vec{r}_j|^{-(d+\sigma)}$, where…

Statistical Mechanics · Physics 2017-09-28 Toshiki Horita , Hidemaro Suwa , Synge Todo

The two- and three-dimensional transverse-field Ising models with ferromagnetic exchange interactions are analyzed by means of the real-space renormalization group method. The basic strategy is a generalization of a method developed for the…

Statistical Mechanics · Physics 2011-05-04 Ryoji Miyazaki , Hidetoshi Nishimori , Gerardo Ortiz

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

We report the value of the dynamical critical exponent z for the six dimensional Ising spin glass, measured in three different ways: from the behavior of the energy and the susceptibility with the Monte Carlo time and by studying the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi , Paola Ranieri , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

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=…

Statistical Mechanics · Physics 2022-08-05 Tuncer Kaya

A bivariate version of the multicanonical Monte Carlo method and its application to the simulation of the three-dimensional $\pm J$ Ising spin glass are described. We found the autocorrelation time associated with this particular…

Disordered Systems and Neural Networks · Physics 2009-09-25 Naomichi Hatano , James E. Gubernatis