Analytic and numeric Green's functions for a two-dimensional electron gas in an orthogonal magnetic field (Articolo in rivista)

Type
Label
  • Analytic and numeric Green's functions for a two-dimensional electron gas in an orthogonal magnetic field (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Alternative label
  • Cresti, A; Grosso, G; Parravicini, GP (2006)
    Analytic and numeric Green's functions for a two-dimensional electron gas in an orthogonal magnetic field
    in Annals of physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Cresti, A; Grosso, G; Parravicini, GP (literal)
Pagina inizio
  • 1075 (literal)
Pagina fine
  • 1091 (literal)
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  • 321 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Pisa, INFM, Dipartimento Fis E Fermi, NEST, I-56127 Pisa, Italy; Scuola Normale Super Pisa, INFM, NEST, I-56126 Pisa, Italy; Univ Pavia, INFM, NEST, Dipartimento Fis A Volta, I-27100 Pavia, Italy (literal)
Titolo
  • Analytic and numeric Green's functions for a two-dimensional electron gas in an orthogonal magnetic field (literal)
Abstract
  • We have derived closed analytic expressions for the Green's function of an electron in a two-dimensional electron gas threaded by a uniform perpendicular magnetic field, also in the presence of a uniform electric field and of a parabolic spatial confinement. A workable and powerful numerical procedure for the calculation of the Green's functions for a large infinitely extended quantum wire is considered exploiting a lattice model for the wire, the tight-binding representation for the corresponding matrix Green's function, and the Peierls phase factor in the Hamiltonian hopping matrix element to account for the magnetic field. The numerical evaluation of the Green's function has been performed by means of the decimation-renormalization method, and quite satisfactorily compared with the analytic results worked out in this paper. As an example of the versatility of the numerical and analytic tools here presented, the peculiar semilocal character of the magnetic Green's function is studied in detail because of its basic importance in determining magneto-transport properties in mesoscopic systems. (c) 2005 Elsevier Inc. All rights reserved. (literal)
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