The nature of the different zero-temperature phases in discrete two-dimensional spin glasses: Entropy, universality, chaos and cascades in the renormalization group flow

Abstract

The properties of discrete two-dimensional spin glasses depend strongly on the way the zero-temperature limit is taken. We discuss this phenomenon in the context of the Migdal-Kadanoff renormalization group. We see, in particular, how these properties are connected with the presence of a cascade of fixed points in the renormalization group flow. Of particular interest are two unstable fixed points that correspond to two different spin-glass phases at zero temperature. We discuss how these phenomena are related with the presence of entropy fluctuations and temperature chaos, and universality in this model.

14 pages, 5 figures, 2 tables

References in corpus (10)

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• Domain-wall excitations in the two-dimensional Ising spin glass
• Overfrustrated and Underfrustrated Spin-Glasses in d=3 and 2: Evolution of Phase Diagrams and Chaos Including Spin-Glass Order in d=2
• The Chiral Potts Spin Glass in d=2 and 3 Dimensions
• Evidence for Temperature Chaos in Spin Glasses
• Phase Transitions between Different Spin-Glass Phases and between Different Chaoses in Quenched Random Chiral Systems
• Devil's Staircase Continuum in the Chiral Clock Spin Glass with Competing Ferromagnetic-Antiferromagnetic and Left-Right Chiral Interactions
• An experiment-oriented analysis of 2D spin-glass dynamics: a twelve time-decades scaling study
• Ultrametric probe of the spin-glass state in a field
• Zero-temperature spinglass-ferromagnetic transition : scaling analysis of the domain-wall energy
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• One-dimensional Ising spin-glass with power-law interaction : real-space renormalization at zero temperature
• Chaos properties of the one-dimensional long-range Ising spin-glass