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The Sherrington-Kirkpatrick Model
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Replica Symmetry Breaking in Spin Glasses by Chandan Dasgupta
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- 1 Start
- 2 Replica Symmetry Breaking in Spin Glasses
- 3 Awarded the Nobel Prize in Physics, 2021
- 4 Interacting spin systems
- 5 For J 0, antiferromagnetic ordering may occur
- 6 What are Spin Glasses?
- 7 Experimental results: 1 Cusp in the magnetic susceptibility
- 8 Frustration
- 9 Edwards-Anderson Model
- 10 Spin Glass Phase
- 11 Edwards-Anderson Model
- 12 Magnetic susceptibility
- 13 The Sherrington-Kirkpatrick Model
- 14 S-K Model contd.
- 15 Replica Symmetry Breaking contd.
- 16 The Paris Solution
- 17 The Paris Solution contd.
- 18 Physical Interpretation of the Paris Solution
- 19 Thouless-Anderson-Palmer Equations
- 20 TAP Equations contd.
- 21 Physical interpretation of RSB G. Parisi, Phys Rev Lett 50, 1946 1983
- 22 Physical interpretation of RSB contd.
- 23 Ultrametricity: The valleys are arranged in a hierarchical tree-like 'ultrametric' structure
- 24 Predictions of the Paris solution have been confirmed from simulations.
- 25 Does the Paris solution explain experimentally observed behaviour in real spin glasses?
- 26 Dynamics: Slow relaxation, hysteresis, memory effects, aging, ...
- 27 Significance of the Paris Solution
- 28 Associative Memory: Retrieval of stored information from partial knowledge [content addressable memory]
- 29 Congratulations to Giorgio Parisi!
- 30 Q&A
