Size-dependent Conduction near the Superconductor/Insulator ...

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explanation for large values of ε a) localized Cooper-pairs for droplets in superconducting matrix: superconducting films (see B. Sacepe, Nat. Phys 2011) b) insulating droplets form percolating network wirh diverging ε at <strong>the</strong> percolation threshold superconductor/insulator transition c) superconducting droplets in insulating matrix Cooper-pair insulator to be verified experimentally!
ehavior not far from Efros-Shklovskii, R [Ω] 100G 10G 1G 100M 10M 1M 100k B = 0 T L [µm] 500 240 20 5 2 0.5 but deviations at • high temperature: ~ exp (T 0 /T) • low temperature: − upturn in large samples − saturation in small samples 0 2 4 6 T -1/2 [K -1/2 ] see also tin/graphene granular films: A. Allain, Z. Han, and V. Bouchiat, Nature Materials 11, 590 (2012).
Page 1 and 2: Size-dependent Conduction near the
Page 3 and 4: direct superconductor/insulator tra
Page 5 and 6: How to model the Cooper-pair insula
Page 7 and 8: question: what energy scales are re
Page 9 and 10: charge/anti-charge pairs bound on a
Page 11 and 12: 240 µm dependence of R on sample
Page 13 and 14: controlled oxidation of TiN films i
Page 15 and 16: R (T) is indeed size dependent:
Page 17 and 18: size dependent IVs display cross-ov
Page 19 and 20: extract size dependent activation e
Page 21: employ continuum model to extract d
Page 25 and 26: Charge-Berezinskii-Kosterlitz-Thoul
Page 27 and 28: ough estimate of ξ 0 from saturati
Page 29 and 30: strongly non-linear IV-characterist
Page 31 and 32: Charge-Berezhinski-Kosterlitz- Thou

Size-dependent Conduction near the Superconductor/Insulator ...

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