Classical and Quantum Behavior in Mean-Field Glassy Systems

Abstract

In this talk I review some recent developments which shed light on the main connections between structural glasses and mean-field spin glass models with a discontinuous transition. I also discuss the role of quantum fluctuations on the dynamical instability found in mean-field spin glasses with a discontinuous transition. In mean-field models with pairwise interactions in a transverse field it is shown, in the framework of the static approximation, that such instability is suppressed at zero temperature.

9 Pages (including 5 Figures), Revtex, Proceedings of the XIV Sitges Conference, June 1996 (Barcelona) Spain

References in corpus (13)

• The structural glass transition and the entropy of the metastable states
• Recipes for metastable states in Spin Glasses
• Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
• Landau theory of quantum spin glasses of rotors and Ising spins
• Replica Field Theory for Deterministic Models: Binary Sequences with Low Autocorrelation
• Self Induced Quenched Disorder: A Model for the Glass Transition
• Glassy Transition and Aging in a Model without Disorder
• Critical Properties of Random Quantum Potts and Clock Models
• Matrix models as solvable glass models
• Possible Glassiness in a Periodic Long-Range Josephson Array
• $D$-dimensional Arrays of Josephson Junctions, Spin Glasses and $q$-deformed Harmonic Oscillators
• The Fully Frustrated Hypercubic Model is Glassy and Aging at Large $D$
• Replica Theory and Large D Josephson Junction Hypercubic Models

Cited by in corpus (1)

• Quantum phase transition in spin glasses with multi-spin interactions