Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 9: SC: Poster Session

TT 9.39: Poster

Monday, March 22, 2010, 14:00–18:00, Poster A

Numerical analysis of small charge solitons in 1D arrays of Josephson junctions — •Jens Homfeld, Alexander Shnirman, and Ivan Protopopov — Institut für Theorie der Kondensierten Materie and DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, Deutschland

We investigate numerically a one-dimensional array of Josephson junctions in the regime of small charge solitons, Λ E_J > E_C > E_J. Here E_C and E_J are the charging and the Josephson energies of the junction, respectivly, and Λ is the bare screening length (measured in number of junctions). Our investigation is based on the many-body tight binding approach developed in Ref. [1]. We have developed an efficient algebraic method which allowed us to take into account many charge states and confirm the observations of Ref. [1], namely i) the flattening of the dispersion relation in the outer region of the Brillouin zone; ii) the broadening of the soliton in the flat band regime.

[1] S. Rachel and A. Shnirman, Phys. Rev. B 80, 180508(R) (2009).