T-4

Goal: Understand some physical properties of mean-field spin glasses in the low-T phase: the structure of the free-energy landscape, the response of the system to applied magnetic fields.

Key concepts: full-RSB, magnetic susceptibility, linear response, ultrametricity.

Notes

[1] - This is reflected in the formula above: one is averaging over all possible pure states, meaning that the system has enough time to sample them according to their thermal weight $\omega _{\alpha }$.

References

• Parisi. Order parameter for spin-glasses [2]
• Castellani, Cavagna. Spin-Glass Theory for Pedestrians [1]
• Zamponi. Mean field theory of spin glasses [2]

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