Séminaire du LPTMS: Vladimir Kravtsov *** séminaire exceptionnel ***


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405

Type d’évènement

Chargement de la carte…

Ergodic transition on disordered random regular graph

Vladimir Kravtsov (ICTP, Trieste, Italy)

We consider statistics of eigenfunctions on the random regular graph with on-site disorder. The results of numerical diagonalization show a  transition in the statistics of eigenfunctions deeply inside the region of extended states that is interpreted as a transition from extended ergodic to extended  non-ergodic (multifractal) states. A comparison with the Rosenzweig-Porter random matrix theory and a generalized population dynamics calculations is discussed.

Retour en haut