Spectral problem for quasi-uniform nearest-neighbor chains (Articolo in rivista)

Type
Label
  • Spectral problem for quasi-uniform nearest-neighbor chains (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1063/1.4797477 (literal)
Alternative label
  • Leonardo Banchi (1); Ruggero Vaia (2) (2013)
    Spectral problem for quasi-uniform nearest-neighbor chains
    in Journal of mathematical physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Leonardo Banchi (1); Ruggero Vaia (2) (literal)
Pagina inizio
  • art_n_043501 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://jmp.aip.org/resource/1/jmapaq/v54/i4/p043501_s1 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 54 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 12 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) ISI Foundation, Via Alassio 11/c, I-10126 Torino, Italy (2) Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy (literal)
Titolo
  • Spectral problem for quasi-uniform nearest-neighbor chains (literal)
Abstract
  • One-dimensional arrays with nearest-neighbor interactions occur in several physical contexts: magnetic chains, Josephson-junction and quantum-dot arrays, 1D boson and fermion hopping models, and random walks. When the interactions at the boundaries differ from the bulk ones, these systems are represented by quasi-uniform tridiagonal matrices. We show that their diagonalization is almost analytical: the spectral problem is expressed as a variation of the uniform one, whose eigenvalues constitute a band. A density of in-band states can be introduced, making it possible to treat large matrices, while few discrete out-of-band localized states can show up. The general procedure is illustrated with examples. (literal)
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