Two scenarios of multifractality breakdown
Remy Dubertrand, LPT Toulouse
Multifractality is a powerful tool to describe non trivial fluctuations of a field. One seminal example is provided by the Anderson transition due to disorder in 3D: at the critical point the eigenstates of the Hamiltonian display multifractality, leading i.e. to anomalous diffusion. We have been interested in the effect of a perturbation on the multifractality in a quantum system. Considering two generic models I will show that multifractality disappears following two well identified scenarios. I will describe these scenarios in details and discuss their consequences in order to achieve a better understanding of multifractality in quantum mechanics.