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

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.

Date/Time : 09/06/2016 - 11:00 - 12:00

Location : LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay

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