Spin glass transitions at zero temperature
| Componente | Categoria |
|---|---|
| Flavio Nicoletti | Dottorando/Assegnista/Specializzando componente non strutturato del gruppo di ricerca |
| Andrea Pelissetto | Componenti strutturati del gruppo di ricerca |
| Filippo Cesi | Componenti strutturati del gruppo di ricerca |
Still many open questions exist related to the spin glass phase transition.
Being the renormalization group controlled by a zero temperature fixed point, it seems very reasonable to study the spin glass transition directly at zero temperature, e.g. varying the external field.
In this project, we focus on the study of long-range spin glass models that undergo a transition at zero temperature varying the external field.
In order to have a spin glass phase transition at zero temperature, we focus on models with m-components variables that are known to undergo a phase transition at a finite field, and on models defined on sparse random graphs.
We plan to study these models via the cavity method and via numerical simulations. For Ising spin glass models we aim at understanding in detail how the replica symmetry breaking transition arises. While for models with continuous variables, i.e. with an O(m) symmetry and m=2 (XY) or m=3 (Heisenberg), we aim at understanding the properties of the low-energy excitations via the study of the Hessian spectrum at the lowest energy minima.