Scaling and density of states of fractal lattices from a generating function point of view
Open Access
- 1 January 1983
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 44 (20) , 843-852
- https://doi.org/10.1051/jphyslet:019830044020084300
Abstract
It is shown that the analogy between the free energy in critical phenomena and the complex generating function allows one to exploit well known position-space renormalization group techniques to easily derive scaling properties as well as the exact density of states for electronic or vibrational problems on fractal lattices. Certain self-similar lattices whose spectral dimension d can be larger or less than 2 are also studiedKeywords
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