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Theory of induced Theory of induced superconductivity superconductivity in graphene in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF 88, 780 (2008) [JETP Lett. 88, 747 (2008)]

Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

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Page 1: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Theory of induced superconductivityTheory of induced superconductivityin graphenein graphene

Mikhail A. SkvortsovMikhail V. Feigel’man

Konstantin S. Tikhonov

Landau Institute, Moscow

Pis'ma v ZhETF 88, 780 (2008) [JETP Lett. 88, 747 (2008)]

Page 2: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Graphene + superconducting islandsGraphene + superconducting islands

Page 3: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

GrapheneGraphene

Page 4: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Superconductive proximity effect in Superconductive proximity effect in graphenegraphene

Page 5: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Usadel equation in grapheneUsadel equation in graphene

Page 6: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Josephson coupling via disordered Josephson coupling via disordered graphenegraphene

Page 7: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Thermal phase transitionThermal phase transition

Page 8: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Transition temperature vs Transition temperature vs GGTT

Page 9: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Superfluid density below Superfluid density below TTcc

Page 10: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Spectral gapSpectral gap

Page 11: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Spectral gap vs Spectral gap vs GGTT

Page 12: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Spectral gapSpectral gap

Page 13: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Spectral gap in an irregular systemSpectral gap in an irregular system

Page 14: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Two-energy-scale superconductivityTwo-energy-scale superconductivity

Page 15: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Magnetic field effect (low Magnetic field effect (low TT, , lowlow HH))

Page 16: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Magnetic field effect (low Magnetic field effect (low TT, , highhigh HH))

Page 17: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Phase diagramPhase diagram

Page 18: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Experiment: Tin islands on grapheneExperiment: Tin islands on graphene

Page 19: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

Experiment: Tin islands on grapheneExperiment: Tin islands on graphene

Page 20: Theory of induced superconductivity in graphene Mikhail A. Skvortsov Mikhail V. Feigel’man Konstantin S. Tikhonov Landau Institute, Moscow Pis'ma v ZhETF

SummarySummary