Glassiness in Uniformly Frustrated Systems

Details Glassiness in Uniformly Frustrated Systems Glassiness in Uniformly Frustrated Systems

2010-11-10

arxiv.org/abs/1011.2261v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 6 figures, review article to appear in ""Structural Glasses and Supercooled Liquids: Theory, Experiment, and Applica

Scientific paper

We review several models of glassy systems where the randomness is self generated, i.e. already an infinitesimal amount of disorder is sufficient to cause a transition to a non-ergodic, glassy state. We discuss the application of the replica formalism developed for the spin glass systems to study the glass transition in uniformly frustrated many-body systems. Here a localization in configuration space emerges leading to an entropy crisis of the system. Using a combination of density functional theory and Landau theory of the glassy state, we first analyze the mean field glass transition within the saddle point approximation. We go beyond the saddle point approximation by considering the energy fluctuations around the saddle point and evaluate the barrier height distribution.

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