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Berlin 2008 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 11: Superconductivity: Tunneling, Josephson Junctions, SQUIDs

TT 11.5: Talk

Monday, February 25, 2008, 16:45–17:00, H 3010

Advanced models of Josephson junction arrays (exchanged with TT 11.9) — •Carsten Hutter1, Kai Stannigel1,2, Eric Tholén3, Jack Lidmar4, and David Haviland31Department of Physics, Stockholm University, Sweden — 2Institut für theoretische Festkörperphysik, Universität Karlsruhe, Germany — 3Nanostructure Physics, Royal Institute of Technology, Stockholm, Sweden — 4Department of Physics, Royal Institute of Technology, Stockholm, Sweden

One-dimensional Josephson junction arrays are interesting in many contexts. For instance, they can undergo quantum phase transitions [1], but they can also be used as a tunable environment in the study of other tunnel junctions or SQUIDs [2]. Here we investigate a model for the array, which besides the Josephson junction and capacitance to ground additionally includes a stray inductance for each array element. For certain parameters, the dynamics of the system change drastically: In the phase regime, the impedance becomes purely imaginary in a parameter-dependent frequency range. We further find a gap in the dispersion relation for the same frequency range. We suggest a modified array with two different junctions per array element, in which this behaviour can be observed more easily.

[1] S.L. Sondhi et al., RMP 69, 315 (1997)

[2] S. Corlevi et al., PRL 97, 096802 (2006)

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