Quantum currents and pair correlation of electrons in a chain of localized dots

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The quantum transport of electrons in a wire of localized dots by hopping, interaction and dissipation is calculated and a representation by an equivalent RCL circuit is found. The exact solution for the electric-field induced currents allows to discuss the role of virtual currents to decay initial correlations and Bloch oscillations. The dynamical response function in random phase approximation (RPA) is calculated analytically with the help of which the static structure function and pair correlation function are determined. The pair correlation function contains a form factor from the Brillouin zone and a structure factor caused by the localized dots in the wire.


Mesoscopic and Nanoscale Systems 


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© The Author(s) 2017

Open Access This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.Münster University of Applied SciencesSteinfurtGermany
  2. 2.International Institute of Physics (IIP)NatalBrazil
  3. 3.Max-Planck-Institute for the Physics of Complex SystemsDresdenGermany

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