Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Phase Transitions and Critical Phenomena

DY 31.5: Talk

Friday, March 30, 2012, 10:45–11:00, MA 004

One-dimensional Vector Spin Glasses with Long-Range interactions — •Frank Beyer¹ and Martin Weigel^1,2 — ¹Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099 Mainz, Germany — ²Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, England

One-dimensional spin-glass models with power-law interactions allow for numerically tackling large linear system sizes. At the same time tuning the interaction range enables to study systems with zero-temperature transitions, with non-trivial finite-temperature transitions and in the mean-field regime, respectively. Here, we focus on the case of vector spin glasses with an infinite number of spin components which shows some important differences as compared to models with a finite number of components. Using extensive numerical calculations at zero and finite temperatures, we determine the phase diagram of the model and elucidate its critical behavior in the mentioned regimes.