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Three different vortex glass models are studied by examining the energy barrier against vortex motion across the system. In the two-dimensional gauge glass this energy barrier is found to increase logarithmically with system size which is…

Superconductivity · Physics 2009-11-07 Petter Holme , Peter Olsson

Recent developments in study of two-dimensional spin glass models are reviewed in light of fractal nature of droplets at zero-temperature. Also presented are some new results including a new estimate of the stiffness exponent using a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Kawashima , Takayuki Aoki

We present a Monte Carlo study of the d=3 gauge glass and the XY--spin glass models in the vortex representation. We investigate the critical behavior of these models by a scaling analysis of the linear resistivity and current-- voltage…

Superconductivity · Physics 2009-10-30 Carsten Wengel , A. Peter Young

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marios Nikolaou , Mats Wallin

Results from Monte Carlo simulations of the two-dimensional gauge glass supporting a zero-temperature transition are presented. A finite-size scaling analysis of the correlation length shows that the system does not exhibit spin-glass order…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber

We investigate the critical behavior of the gauge glass model for the vortex glass transition in three-dimensional superconductors, including screening of the interaction between vortices. A Monte Carlo study of the linear resistivity and a…

Condensed Matter · Physics 2009-10-28 C. Wengel , A. P. Young

The gauge glass model offers an interesting example of a randomly frustrated system with a continuous O(2) symmetry. In two dimensions, the existence of a glass phase at low temperatures has long been disputed among numerical studies. To…

Disordered Systems and Neural Networks · Physics 2015-05-14 Lei-Han Tang

The work of this thesis concerns the problem of linear low energy excitations of vector spin glass models. An analytical and numerical study is carried out, considering a fully connected random-field Heisenberg model at zero temperature, a…

Disordered Systems and Neural Networks · Physics 2023-06-16 Flavio Nicoletti

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

Via Monte Carlo studies of the frustrated XY or classical planar model we demonstrate the possibility of a finite (nonzero) temperature spin/gauge glass phase in two dimensions. Examples of both periodic and quasiperiodic two dimensional…

Condensed Matter · Physics 2009-10-28 R. W. Reid , S. K. Bose , B. Mitrovic

We investigate zero and finite temperature properties of the one-dimensional spin-glass model for vector spins in the limit of an infinite number m of spin components where the interactions decay with a power, \sigma, of the distance. A…

Disordered Systems and Neural Networks · Physics 2012-07-27 Frank Beyer , Martin Weigel , M. A. Moore

We report results from Monte Carlo simulations of the two- and three-dimensional gauge glass at low temperature using parallel tempering Monte Carlo. In two dimensions, we find strong evidence for a zero-temperature transition. By means of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber

We introduce the strongly-interacting trap model, a version of Bouchaud's trap model for glasses [Bouchaud J-P 1992 {\em J. Phys. I France {\bf 2}} 1705]. At finite temperatures the model exhibits glassy relaxation over intermediate…

Statistical Mechanics · Physics 2009-10-31 David Head

Dynamics of vortices in strongly type-II superconductors with strong disorder is investigated within the frustrated three-dimensional XY model. For two typical models in [Phys. Rev. Lett. {\bf 91}, 077002 (2003)] and [Phys. Rev. B {\bf 68},…

Superconductivity · Physics 2009-11-13 Qing-Hu Chen

We numerically study finite-dimensional spin glasses at low and zero temperature, finding evidences for (i) strong time/space heterogeneities, (ii) spontaneous time scale separation and (iii) power law distributions of flipping times. Using…

Statistical Mechanics · Physics 2009-10-31 Federico Ricci-Tersenghi , Riccardo Zecchina

We review some recent results on finite dimensional spin glasses by studying recent numerical simulations and their relationship with experiments. In particular we will show results obtained at zero and non zero temperature, focusing in the…

Condensed Matter · Physics 2009-09-29 J. J. Ruiz-Lorenzo

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range…

Disordered Systems and Neural Networks · Physics 2011-07-21 Creighton K. Thomas , David A. Huse , A. Alan Middleton

We study the gauge glass model for the vortex glass transition in type--II superconductors, including screening of the interaction between vortices. {}From the size dependence of the domain wall energy we find that, in two--dimensions, the…

Condensed Matter · Physics 2009-10-22 H. S. Bokil , A. P. Young

Monte Carlo data of the two-dimensional Ising spin glass with bimodal interactions are presented with the aim of understanding the low-temperature physics of the model. An analysis of the specific heat, spin-glass susceptibility,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Lik Wee Lee , I. A. Campbell

Large-scale simulations have been performed on the current-driven two-dimensional XY gauge glass model with resistively-shunted-junction dynamics. It is observed that the linear resistivity at low temperatures tends to zero, providing…

Superconductivity · Physics 2009-11-13 Qing-Hu Chen , Jian-Ping Lv , Huan Liu
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