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Related papers: Phase transition in the three dimensional Heisenbe…

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It is shown, by means of Monte Carlo simulation and Finite Size Scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. Campos , M. Cotallo-Aban , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon

We characterize the phase diagram of anisotropic Heisenberg spin glasses, finding both the spin and the chiral glass transition. We remark the presence of strong finite-size effects on the chiral sector. We find a unique phase transition…

Disordered Systems and Neural Networks · Physics 2014-01-22 M. Baity-Jesi , L. A. Fernandez , V. Martin-Mayor , J. M. Sanz

We study the Heisenberg spin glass by large-scale Monte Carlo simulations for sizes up to 32^3, down to temperatures below the transition temperature claimed in earlier work. The data for the larger sizes show more marginal behavior than…

Disordered Systems and Neural Networks · Physics 2009-11-13 L. W. Lee , A. P. Young

Spin-glass (SG) and chiral-glass (CG) orderings in three dimensional (3D) Heisenberg spin glass with and without magnetic anisotropy are studied by using large-scale off-equilibrium Monte Carlo simulations. A characteristic time of…

Disordered Systems and Neural Networks · Physics 2016-08-31 Mitsuhiro Matsumoto , Koji Hukushima , Hajime Takayama

Results of Monte Carlo simulations of XY and Heisenberg spin glass models in three dimensions are presented. A finite size scaling analysis of the correlation length of the spins and chiralities of both models shows that there is a single,…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. W. Lee , A. P. Young

Equilibrium properties of the three-dimensional isotropic Heisenberg spin glass are studied by extensive Monte Carlo simulations, with particular attention to the nature of its phase transition. A finite-size-scaling analysis is performed…

Disordered Systems and Neural Networks · Physics 2013-05-29 K. Hukushima , H. Kawamura

We study the phase transition of the $\pm J$ Heisenberg model in three dimensions. Using a dynamical simulation method that removes a drift of the system, the existence of the spin-glass (SG) phase at low temperatures is suggested. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Matsubara , T. Shirakura , S. Endoh

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We…

Disordered Systems and Neural Networks · Physics 2009-12-18 Pawel Stasiak , Michel J. P. Gingras

We perform a finite size scaling study of the three-dimensional Heisenberg spin glass in the presence of weak random anisotropic interactions, up to sizes L=32. Anisotropies have a major impact on the phase transition. The chiral-glass…

Disordered Systems and Neural Networks · Physics 2015-03-17 V. Martin-Mayor , S. Perez-Gaviro

We study the 4d Heisenberg spin glass model with Gaussian nearest-neighbor interactions. We use finite size scaling to analyze the data. We find a behavior consistent with a finite temperature spin glass transition. Our estimates for the…

Condensed Matter · Physics 2009-10-22 B. Coluzzi

We use Monte Carlo simulations to study the one-dimensional long-range diluted Heisenberg spin glass with interactions that fall as a power, sigma, of the distance. Varying the power is argued to be equivalent to varying the space dimension…

Disordered Systems and Neural Networks · Physics 2013-05-29 Auditya Sharma , A. P. Young

Over the last decade computer simulations have had an increasing role in shedding light on difficult statistical physical phenomena and in particular on the ubiquitous problem of the glass transition. Here in a wide variety of materials the…

Statistical Mechanics · Physics 2015-06-04 Smarajit Karmakar , Itamar Procaccia

The three-dimensional $\pm J$ Heisenberg spin-glass model is investigated by the non-equilibrium relaxation method from the paramagnetic state. Finite-size effects in the non-equilibrium relaxation are analyzed, and the relaxation functions…

Disordered Systems and Neural Networks · Physics 2009-11-07 Tota Nakamura , Shin-ichi Endoh

Ordering of the Heisenberg spin glass with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations in four and five dimensions. Ordering of the mean-field Heisenberg spin-glass is also studied for…

Disordered Systems and Neural Networks · Physics 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

We have studied the three-dimensional Ising spin glass with a $\pm J$ distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence…

Condensed Matter · Physics 2009-10-28 N. Kawashima , A. P. Young

Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three-dimensional Edwards-Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick…

Disordered Systems and Neural Networks · Physics 2011-10-21 A. Billoire , L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Yllanes

Numerical studies in random systems are plagued with strong finite-size effects and boundary effects. We introduce a window-measurement method as a practical solution to these difficulties. We observe physical quantities only within a…

Disordered Systems and Neural Networks · Physics 2015-06-19 Tota Nakamura , Takayuki Shirakura

Despite the extreme simplicity in their definition, spin glasses disclose a wide variety of non-trivial behaviors that are not yet fully understood. In this thesis we try to shed light on some of them, focusing on one hand on the search of…

Disordered Systems and Neural Networks · Physics 2018-05-16 Marco Baity-Jesi

We study numerically the nonequilibrium dynamics of the three-dimensional Heisenberg Edwards-Anderson spin glass submitted to protocols during which temperature is shifted or cycled within the spin glass phase. We show that (partial)…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ludovic Berthier , A. P. Young
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