Spin Glasses

Criticality and Energy Landscapes

  • Marco Baity Jesi

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xxix
  2. Introduction

  3. Criticality

    1. Front Matter
      Pages 43-43
    2. Marco Baity Jesi
      Pages 45-74
  4. Energy Landscapes

    1. Front Matter
      Pages 97-97
    2. Marco Baity Jesi
      Pages 99-113
    3. Marco Baity Jesi
      Pages 115-138
    4. Marco Baity Jesi
      Pages 139-160
  5. Conclusions and Outlook

    1. Front Matter
      Pages 161-161
    2. Marco Baity Jesi
      Pages 163-168
  6. Back Matter
    Pages 169-221

About this book


This thesis addresses the surprising features of zero-temperature statics and dynamics of several spin glass models, including correlations between soft spins that arise spontaneously during avalanches, and the discovery of localized states that involve the presence of two-level systems. It also presents the only detailed historiographical research on the spin glass theory. Despite the extreme simplicity of their definition, spin glasses display a wide variety of non-trivial behaviors that are not yet fully understood. In this thesis the author sheds light on some of these, focusing on both the search for phase transitions under perturbations of Hamiltonians and the zero-temperature properties and responses to external stimuli.
After introducing spin glasses and useful concepts on phase transitions and numerics, the results of two massive Monte Carlo campaigns on three-dimensional systems are presented: The first of these examines the de Almeida–Thouless transition, and proposes a new finite-size scaling ansatz, which accelerates the convergence to the thermodynamic limit. The second reconstructs the phase diagram of the Heisenberg spin glass with random exchange anisotropy.


Review of Spin Glass Research Spontaneous Soft Spins Soft Spin Modes in Avalanche de Almeida-Thouless Transition Inherent Structure of Spin Glass Monte Carlo Simulation of Spin Glass Finite-Size Scaling

Authors and affiliations

  • Marco Baity Jesi
    • 1
  1. 1.Institut de Physique Théorique, DRFCEA SaclayGif-sur-YvetteFrance

Bibliographic information