Abstract
In arrays of Josephson junctions vortices are important collective excitations. A Kosterlitz-Thouless-Berezinskii transition characterized by the unbinding of vortex dipoles separates a superconducting and a resistive phase. In small capacitance junctions the charging energy gains importance. In suitable arrays a KTB transition characterized by the unbinding of charge dipoles separates an insulating from a conducting phase. We present an effective description of Josephson junction arrays in the quantum regime in terms of charges and vortices. In suitable systems there exists a duality relation between both and a superconductor-insulator transition at low temperature. We discuss further physical properties of quantum vortices, such as the vortex mass, the Aharonov-Casher effect of vortices moving around a charge, or the dissipation of the vortex motion due to quasiparticle tunneling.
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Fazio, R., Schön, G. (1992). Charges and Vortices in Josephson Junction Arrays. In: Koch, H., Lübbig, H. (eds) Single-Electron Tunneling and Mesoscopic Devices. Springer Series in Electronics and Photonics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77274-0_12
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DOI: https://doi.org/10.1007/978-3-642-77274-0_12
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