dc Josephson current in a long multichannel quantum wire (Articolo in rivista)

Type
Label
  • dc Josephson current in a long multichannel quantum wire (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevB.90.045133 (literal)
Alternative label
  • Giuliano, Domenico; Affleck, Ian (2014)
    dc Josephson current in a long multichannel quantum wire
    in Physical review. B, Condensed matter and materials physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Giuliano, Domenico; Affleck, Ian (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 90 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 19 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Calabria Arcavacata Rende; Istituto Nazionale di Fisica Nucleare; CNR SPIN; University of British Columbia (literal)
Titolo
  • dc Josephson current in a long multichannel quantum wire (literal)
Abstract
  • The dc Josephson current across a multichannel superconductor-normal-superconductor (SNS) junction is computed by summing contributions from subgap Andreev bound states, as well as from continuum states propagating within the superconducting leads. We show that, in a long multichannel SNS junction, at low temperatures, all these contributions add up, so that the current can be entirely expressed in terms of single-particle normal and Andreev reflection amplitudes at the Fermi level at both SN interfaces. Our derivation applies to a generic number of channels in the normal region and/or in the superconducting leads, without assumptions about scattering processes at the SN interfaces: if the channels within the central region have the same dispersion relation, it leads to simple analytical formulas for the current at low temperatures; if the channels within the central region have different dispersion relations, it allows for expressing the current in terms of a simple integral involving only scattering amplitudes at the Fermi level. Our result motivates using a low-energy effective boundary Hamiltonian formalism for computing the current, which is crucial for treating Luttinger liquid interaction effects. (literal)
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