Physical nature of critical wave functions in Fibonacci systems

Abstract

We report on a new class of critical states in the energy spectrum of general Fibonacci systems. By introducing a transfer matrix renormalization technique, we prove that the charge distribution of these states spreads over the whole system, showing transport properties characteristic of electronic extended states. Our analytical method is a first step to find out the link between the spatial structure of these critical wave functions and the quasiperiodic order of the underlying lattice.

REVTEX 3.0, 11 pages, 2 figures available upon request. To appear in Phys. Rev. Lett

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