Physical nature of critical wave functions in Fibonacci systems



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Maciá Barber, Enrique Alfonso and Domínguez-Adame Acosta, Francisco (1996) Physical nature of critical wave functions in Fibonacci systems. Physical Review Letters, 76 (16). pp. 2957-2960. ISSN 0031-9007

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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 critical wave functions and their related transport properties.

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© 1996 The American Physical Society.
We are greatly indebted to Roland Ketzmerick for very useful discussions and detailed calculations as well as for his good manners in science. It is with great
pleasure that we thank Angel Sánchez for illuminating conversations. We also thank Victoria Hernández for interesting comments. This work is supported by CICYT under Project No. MAT95-0325.

Uncontrolled Keywords:Extended electronic states, Spectral properties, Renormalization-group, Quasi-crystals, Cantor-set, Lattices, Chain, Superlattice, Model
Subjects:Sciences > Physics > Materials
ID Code:28078
Deposited On:29 Jan 2015 09:53
Last Modified:29 Jan 2015 09:53

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