Power spectrum characterization of the Anderson transition.
We examine the power spectrum of the energy level fluctuations of a family of critical power-law random banded matrices whose spectral properties are similar to those of a disordered conductor at the Anderson transition. It is shown analytically and numerically that at the Anderson transition the power spectrum presents 1/f2 noise for small frequencies but 1/f noise for larger frequencies. The analysis of the region between these two power-law limits gives an accurate estimation of the Thouless energy of the system. Finally we discuss in what circumstances these findings may be relevant in the case of nonrandom Hamiltonians.
García-García
Antonio M
AM
Physics Department, Princeton University, Princeton, New Jersey 08544, USA.