Charge solitons and their dynamical mass in one-dimensional arrays of Josephson junctions

Jens Homfeld, Ivan Protopopov, Stephan Rachel, and Alexander Shnirman
Phys. Rev. B 83, 064517 – Published 28 February 2011

Abstract

We investigate charge transport in one-dimensional arrays of Josephson junctions. In the interesting regime of “small charge solitons” (polarons), ΛEJ>EC>EJ, where Λ is the (electrostatic) screening length, the charge dynamics are strongly influenced by the polaronic effects (i.e., by dressing of a Cooper pair by charge dipoles). In particular, the soliton’s mass in this regime scales approximately as EJ2. We employ two theoretical techniques: the many-body tight-binding approach and the mean-field approach, and the results of the two approaches agree in the regime of “small charge solitons.” Renormalization of the soliton’s mass could be observed; for example, as enhancement of the persistent current in a ring-shaped array.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
3 More
  • Received 31 August 2010

DOI:https://doi.org/10.1103/PhysRevB.83.064517

©2011 American Physical Society

Authors & Affiliations

Jens Homfeld1, Ivan Protopopov2,3, Stephan Rachel4, and Alexander Shnirman1,5

  • 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany
  • 2Institut für Nanotechnologie, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
  • 3Landau Institute for Theoretical Physics, RU-119334 Moscow, Russia
  • 4Department of Physics, Yale University, New Haven, Connecticut 06520, USA
  • 5DFG Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 83, Iss. 6 — 1 February 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×