Theory of the magnetoresistance of disordered superconducting films
Yonatan Dubi,^{1} Yigal Meir,^{1,2} and Yshai Avishai^{1,2}
^{1}Physics Department, Ben-Gurion University, Beer Sheva 84105, Israel
^{2}The Ilse Katz Center for Meso- and Nano-scale Science and Technology, Ben-Gurion University, Beer Sheva 84105, Israel
(Received 13 December 2005; published 21 February 2006)
Recent^{ }experimental studies of magnetoresistance in disordered superconducting thin films on^{ }the insulating side of the superconductor-insulator transition reveal a huge^{ }peak (about 5 orders of magnitude compared with the resistance^{ }at the transition). While it may be expected that magnetic^{ }field destroys superconductivity, leading to an enhanced resistance, attenuation of^{ }the resistance at higher magnetic fields is surprising. We propose^{ }a model which accounts for the experimental results in the^{ }entire range of magnetic fields, based on the formation of^{ }superconducting islands due to fluctuations in the superconducting order parameter^{ }amplitude in the disordered sample. At strong magnetic fields, due^{ }to Coulomb blockade in these islands, transport is mainly through^{ }the normal areas, and thus a decrease is the size^{ }and density of the superconducting islands leads to an enhanced^{ }conductance and a negative magnetoresistance. As the magnetic field is^{ }reduced and the size and density of these islands increase,^{ }the conductance is eventually dominated by transport through the superconducting^{ }islands and the magnetoresistance changes sign. Numerical calculations show a^{ }good qualitative agreement with experimental data.
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References
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