Regensburg 2016 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Poster - Statistical Physics, Critical Phenomena, Brownian motion
DY 27.8: Poster
Tuesday, March 8, 2016, 18:15–21:00, Poster C
Characterization of multifractality at the Anderson transition from wavefunction dynamics — Chi-Hung Weng, Andreas Buchleitner, and •Alberto Rodriguez — Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg
While stationary numerical techniques to obtain the multifractal spectrum from eigenstates close to the Anderson transition have been extensively studied, the implications of multifractality on the dynamics close to the critical point, and in particular the validation of the different proposed dynamical scaling laws involving multifractal exponents have not received comparable attention. The dynamical approach may however be crucial for the characterization of multifractality from experimental data of the expansion of wave packets in disordered potentials. For this task, we consider several scaling laws: the scaling of the return probability with time, the decaying profile of the time-dependent wavefunction with distance, and the scaling of the long-time return probability with system size. We present a thorough analysis of the regimes of validity of these scaling laws and their suitability to obtain a reliable estimate of the multifractal exponent D2 from the dynamics of a localized initial excitation in a critical power-law random banded matrix model.