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

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09/06/2016    
11:00 - 12:00

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

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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.

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