Exact Treatment of Quantum States on a Fractal

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Published under licence by IOP Publishing Ltd
, , Citation R. F. S. Andrade and H. J. Schellnhuber 1989 EPL 10 73 DOI 10.1209/0295-5075/10/1/013

0295-5075/10/1/73

Abstract

Nearest-neighbour hopping on the Koch terragon is investigated. Scaling properties of spectrum and quantum states are rigorously explained from exact renormalization. The existence of collective superlocalization transitions by virtual decoupling is demonstrated.

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10.1209/0295-5075/10/1/013