Topological reduction of tight-binding models on branched networks
Anno: 2002
Autori: Buonsante P., Burioni R., Cassi D.
Affiliazione autori: Dipartimento di Fisica and INFM, Università degli Studi di Parma
Abstract: Noninteracting excitations on a generic discrete structure are described by means of a single-band tight-binding Hamiltonian. Despite the simplicity of the model, topological inhomogeneity gives rise to nontrivial spectral features. At the same time the lack of regularities makes the spectral analysis a rather hard task, since powerful tools such as Fourier transform are ruled out, In this paper we introduce a rigorous analytical technique, based on topological methods, for the exact solution of this problem in the case of branched structures. We provide some examples illustrating the technique.
Giornale/Rivista: PHYSICAL REVIEW B
Volume: 65 (5) Da Pagina: 054202 A: 054202
Parole chiavi: tight-binding; lattice; DOI: 10.1103/PhysRevB.65.054202Citazioni: 5dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui