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|Title: ||Electronic states on a fractal: Exact Green's-function renormalization approach|
|Other Titles: ||Physical Review B|
|Authors: ||Andrade, Roberto Fernandes Silva|
Schellnhuber, H. J.
|Issue Date: ||1991|
|Publisher: ||Physical Review B|
|Abstract: ||A nontrivial tight-binding model for electron dynamics on the fractal Koch curve is investigated
within the framework of the Green s-function formalism. The key result is the construction of a multiple
exact renormalization group that allows one to derive all the rather unusual properties of the model.
This group is generated by four nonequivalent decimation operations, which define distinct transforrnation
rules for the 48 relevant parameters to be renormalized. The calculation of the density of states
confirms the crucial results that were obtained recently using transfer-matrix methods: local self-amenity,
dense gap structure, and singular electronic levels with infinite degeneracy. This demonstrates that the
Green s-function approach is not inferior to other techniques even in topologically one-dimensional situations.|
|Description: ||p. 213-227|
|Appears in Collections:||Artigos Publicados em Periódicos (FIS)|
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