Seminar on Disorder and strong electron correlations: "The typical states of a disordered Richardson model and many-body localization"
Starts 7 Apr 2011 12:30
Ends 7 Apr 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
We present a thorough numerical study of the Richardson model with quenched disorder (a fully-connected XX-model with longitudinal random fields). We find a relation between the inverse participation ratio, the Edwards-Anderson order parameter and the average Hamming distance between spin configurations covered by a typical eigenstate for which we conjecture a remarkably simple form for the thermodynamic limit. We find a sudden onset of an exponentially large IPR on the space of spin configurations, although local observables (single-spin expectation values) never achieve thermalization. We also studied the random process defined by the spread of a typical eigenstate on configuration space, highlighting several similarities with hopping on percolated hypercube, a process used to mimic the slow relaxation of spin glasses.