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Physical nature of critical wave functions in Fibonacci systems

Enrique Macia·Francisco Dominguez-Adame
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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.

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Enrique Macia, Francisco Dominguez-Adame. 1995-07-24. Physical nature of critical wave functions in Fibonacci systems. https://doi.org/10.1103/physrevlett.76.2957

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