Renormalization transformation of periodic and aperiodic lattices
In this work we introduce a similarity transformation acting on transfer matrices describing the propagation of elementary excitations through either periodic or Fibonacci lattices. The proposed transformation can act at two different scale lengths. At the atomic scale the transformation allows one...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/52105 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/52105 |
| Access Level: | acceso abierto |
| Palavra-chave: | 538.9 Quasi-regular heterostructures Critical wave-functions Elastic-waves Electronic transport Fibonacci chain Physical nature Energy-spectra Double-strand One dimension DNA Física de materiales Física del estado sólido 2211 Física del Estado Sólido |
| Resumo: | In this work we introduce a similarity transformation acting on transfer matrices describing the propagation of elementary excitations through either periodic or Fibonacci lattices. The proposed transformation can act at two different scale lengths. At the atomic scale the transformation allows one to express the systems' global transfer matrix in terms of an equivalent on-site model one. Correlation effects among different hopping terms are described by a series of local phase factors in that case. When acting on larger scale lengths, corresponding to short segments of the original lattice, the similarity transformation can be properly regarded as describing an effective renormalization of the chain. The nature of the resulting renormalized lattice significantly depends on the kind of order (i.e., periodic or quasiperiodic) of the original lattice, expressing a delicate balance between chemical complexity and topological order as a consequence of the renormalization process. |
|---|