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Inhomogeneous electronic states in superconductors ( Chapelier , Ioffe )

discussion-session. Inhomogeneous electronic states in superconductors ( Chapelier , Ioffe ) How to disentangle the unavoidable atomic level inhomogeneity of real materials from the electronic inhomogeneity. Very Low Temperature STM:

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Inhomogeneous electronic states in superconductors ( Chapelier , Ioffe )

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  1. discussion-session Inhomogeneous electronic states in superconductors (Chapelier, Ioffe) How to disentangle the unavoidable atomic level inhomogeneity of real materials from the electronic inhomogeneity

  2. Very Low Temperature STM: a powerful probe for inhomogeneous superconducting states (tutorial) Maud Vinet Walter Escoffier Benjamin Sacépé Thomas Dubouchet Charlène Tonnoir Claude Chapelier CEA INAC-SPSMS-LaTEQS, Grenoble

  3. Very Low Temperature STM: a powerful probe for inhomogeneous superconducting states (tutorial) • STM/STS and usual inhomogeneous superconducting states • Highly disordered superconductors • Discussion

  4. Scanning Tunneling Microscopy Coarse approach motor Sample holder 10 cm Tip Piezo tube Coarse positioning X-Y table Michael Schmid, TU Wien

  5. Scanning Tunneling Microscopy NbSe2 P.Mallet et al., J. Vac. Sci. Technol. B 14, 1070 (1996) Michael Schmid, TU Wien

  6. Scanning Tunneling Microscopy NbSe2 P.Mallet et al., J. Vac. Sci. Technol. B 14, 1070 (1996) Michael Schmid, TU Wien D. Roditchev’s group, http://ln-www.insp.upmc.fr/

  7. Scanning Tunneling Spectroscopy NbSe2 P.Mallet et al., J. Vac. Sci. Technol. B 14, 1070 (1996) dI/dV I V D. Roditchev’s group, http://ln-www.insp.upmc.fr/

  8. Scanning Tunneling Spectroscopy NbSe2 P.Mallet et al., J. Vac. Sci. Technol. B 14, 1070 (1996) dI/dV I V H. Hess et al., Physica B 169, 422 (1991) D. Roditchev’s group, http://ln-www.insp.upmc.fr/

  9. Scanning Tunneling Spectroscopy NbSe2 P.Mallet et al., J. Vac. Sci. Technol. B 14, 1070 (1996) dI/dV I V H. Hess et al., Physica B 169, 422 (1991) D. Roditchev’s group, http://ln-www.insp.upmc.fr/

  10. Scanning Tunneling Spectroscopy NbSe2 P.Mallet et al., J. Vac. Sci. Technol. B 14, 1070 (1996) dI/dV I V I. Guillamon et al., Phys. Rev.B 77, 134405 (2008) D. Roditchev’s group, http://ln-www.insp.upmc.fr/

  11. Vortex NbSe2 http://www.oettinger-physics.de/ Sachdev & Zhang, Science

  12. Vortex NbSe2 http://www.oettinger-physics.de/ H. Hess et al., Phys. Rev. Lett. . 62, 214 (1989)

  13. Vortex NbSe2 http://www.oettinger-physics.de/ H. Hess et al., Phys. Rev. Lett. . 62, 214 (1989)

  14. Vortex NbSe2 http://www.oettinger-physics.de/ H. Hess et al., Physica B 169, 422 (1991)

  15. Vortex Nb1-x TaxSe2 http://www.oettinger-physics.de/ Ch. Renner et al., Phys. Rev. Lett. (1991) H. Hess et al., Physica B 169, 422 (1991)

  16. Vortex Bi2Sr2CaCu2O8+ d http://www.oettinger-physics.de/ J.E. Hoffman., Science 295, 466 (2002)

  17. Hybrid nanostructures M. Vinet et al., Phys. Rev. B 63, 165420 (2001) H. Le Sueur et al., Phys. Rev. Lett. 100, 197002 (2008) N. Moussy et al., Europhys. Lett. 55, 861 (2001)

  18. Very Low Temperature STM: a powerful probe for inhomogeneous superconducting states (tutorial) • STM/STS and usual inhomogeneous superconducting states • Highly disordered superconductors • Discussion

  19. Superconductor-Insulator Transition Granularsystems Homogeneously disordered materials Bismuth Gallium H.M. Jaeger, et al., Phys. Rev. B 34, 14920 (1986) D.B. Haviland, et al., Phys. Rev. Lett. 62, 2180 (1989)

  20. Superconductor-Insulator Transition TiNd Reactive sputter deposition of TiN films 10 nm 100 nm Homogeneously disordered ? N. Hadaceket al., Phys. Rev. B 69, 024505 (2004)

  21. Superconductor-Insulator Transition TiNd Reactive sputter deposition of TiN films 10 nm R (Ohms) 100 nm T (K) Homogeneously disordered ? Granular ? N. Hadaceket al., Phys. Rev. B 69, 024505 (2004)

  22. Superconductor-Insulator Transition TiNd Reactive sputter deposition of TiN films 10 nm R (Ohms) 100 nm T (K) Homogeneously disordered ? Granular ? ≈ 80 × 80 × 2 nm ≈ 400 × 400 × 3 nm N. Hadaceket al., Phys. Rev. B 69, 024505 (2004) W. Escoffier et al.,Phys. Rev. Lett. 93, 217005 (2004)

  23. Superconductor-Insulator Transition TiNd Reactive sputter deposition of TiN films 10 nm 100 nm Homogeneously disordered ? ≈ 80 × 80 × 2 nm ≈ 400 × 400 × 3 nm N. Hadaceket al., Phys. Rev. B 69, 024505 (2004) W. Escoffier et al.,Phys. Rev. Lett. 93, 217005 (2004)

  24. Superconductor-Insulator Transition TiN Atomic layer deposition of 5 nm thick TiN films M. Baklanov and A. Satta (IMEC)

  25. Superconductor-Insulator transition TiN Increasing disorder Sacépé et al., Phys. Rev. Lett. 101, 157006 (2008)

  26. Superconductor-Insulator transition λ TiN A. Ghosal, M. Randeria, N. Trivedi, Phys. Rev. Lett. 81, 3940, (1998) Phys. Rev. B 65, 014501 (2001) M. Ma and P.A. Lee, Phys. Rev. B 32, 5658, (1985) A. Kapitulnik, G. Kotliar, Phys. Rev. Lett. 54, 473, (1985) M. Feigel’manet al., Phys. Rev. Lett. 98, 027001, (2007) M. Feigel’manet al., Ann. Phys. 325, 1390 (2010) M. A. Skvortsov et al., Phys. Rev. Lett. 95,057002, (2005) Sacépé et al., Phys. Rev. Lett. 101, 157006 (2008)

  27. Pseudogap B. Sacépé, et al., Nature Communications 1:140 (2010)

  28. Pseudogap Superconducting fluctuations correction to the DOS Short-lived Cooper pairs above Tc A. Varlamov and V. Dorin, Sov. Phys. JETP 57, 1089, (1983) B. Sacépé, et al., Nature Communications 1:140 (2010)

  29. Pseudogap Superconducting fluctuations correction to the DOS Short-lived Cooper pairs above Tc An extreme sensitivity to Tc A. Varlamov and V. Dorin, Sov. Phys. JETP 57, 1089, (1983) B. Sacépé, et al., Nature Communications 1:140 (2010)

  30. Very Low Temperature STM: a powerful probe for inhomogeneous superconducting states (tutorial) • STM/STS and usual inhomogeneous superconducting states • Highly disordered superconductors • Discussion How to disentangle the unavoidable atomic level inhomogeneity of real materials from the electronic inhomogeneity ? Which inhomogeneities ? Down to which scale a real material must be considered granular or not ? What is a homogeneously disordered material ? How can we relate global macroscopic behavior (transport) and local signatures (STS) ?

  31. Dilution fridge setup

  32. Anomalous proximity effect dS,N Superconducting granular TiN films ≈ 400 × 400 × 3 nm ≈ 80 × 80 × 2 nm Theory : Zhang & Xiong, Physica C (2006) W. Escoffier et al., Phys. Rev. Lett. (2004)

  33. Anomalous proximity effect Superconducting granular TiN films 1500 nm x 1500 nm B. Sacépé (unpublished)

  34. Superconducting fluctuations quantum corrections

  35. Superconducting fluctuations quantum corrections One parameter fit : Tc

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