T-7

Goal: the goal of this set of problems is to derive an estimate for the transition point for the Anderson model on the Bethe lattice. Techniques: cavity method, stability analysis.

A criterion for localization

- model on the be the lattice - self energy -criterion for localization - links to ergo breaking

• x. Y .



Problem 7.1:

the cavity equation and the linearisation




Problem 7.2:

Check out: key concepts of this TD

References

• Bouchaud. Weak ergodicity breaking and aging in disordered systems [1]