This thesis is focused on the computation of the overlap distribution which characterizes spin glasses with finite connectivity upon an RSB transition at zero temperature. Two models are considered: the J± Bethe lattice spin glass and the Edwards-Anderson spin glass in three dimensions with random regular bond dilution (random dilution with the constraint of fixed connectivity z = 3). The approach is based on the study of the effects of a bulk perturbation on the energy landscape. In ultrametric spin glasses, the distribution of the excited states is known to be related to the order parameter through a universal formula. This formula is used for deriving the order parameter from the experimental distributions. In addition, the finite-size corrections to the ground state energy are computed for the two models.
The RSB order parameter in finite-dimensional spin glasses: numerical computation at zero temperature / DE SANTIS, Francesco. - (2019 Sep 09).
|Titolo:||The RSB order parameter in finite-dimensional spin glasses: numerical computation at zero temperature|
|Data di discussione:||9-set-2019|
|Appartiene alla tipologia:||07a Tesi di Dottorato|