Spin glasses

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SpinGlassPicture

Main Topics

  • Models, systems and basic notions in disordered systems
  • Soluble models of glassy systems:
    – Random Energy Model
    – Spherical models
  • Mean field theory of spin glasses (SK model) and supercooled liquids (p-spin models)
  • Thouless-Anderson-Palmer approach
  • Parisi’s solution of the SK model: replica symmetry breaking and its meaning
  • Approaches to finite dimesional spin glasses (beyond mean field theory; droplet theory; numerical approaches
  • Cavity method: exact solutions for complex problems on large random graphs
  • Overview of topics of current interest (quantum glasses, glasses and localization, challenges in complex systems in areas outside of physics)

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