Topological reduction of tight-binding models on branched networks

Year: 2002

Authors: Buonsante P., Burioni R., Cassi D.

Autors Affiliation: 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.

Journal/Review: PHYSICAL REVIEW B

Volume: 65 (5)      Pages from: 054202  to: 054202

KeyWords: tight-binding; lattice;
DOI: 10.1103/PhysRevB.65.054202

Citations: 6
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