Abstract
Superconductivity is inevitably suppressed in reduced dimensionality1,2,3,4,5,6,7,8,9. Questions of how thin superconducting wires or films can be before they lose their superconducting properties have important technological ramifications and go to the heart of understanding coherence and robustness of the superconducting state in quantum-confined geometries1,2,3,4,5,6,7,8,9. Here, we exploit quantum confinement of itinerant electrons in a soft metal, Pb, to stabilize superconductors with lateral dimensions of the order of a few millimetres and vertical dimensions of only a few atomic layers10. These extremely thin superconductors show no indication of defect- or fluctuation-driven suppression of superconductivity, and sustain supercurrents of up to 10% of the depairing current density. Their magnetic hardness implies a Bean-like critical state with strong vortex pinning that is attributed to quantum trapping of vortices. This study paints a conceptually appealing, elegant picture of a model nanoscale superconductor with calculable critical-state properties and surprisingly strong phase coherence. It indicates the intriguing possibility of exploiting robust superconductivity at the nanoscale.
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References
Beasley, M. R., Mooij, J. E. & Orlando, T. P. Possibility of vortex-antivortex pair dissociation in two-dimensional superconductors. Phys. Rev. Lett. 42, 1165–1168 (1979).
Haviland, D. B., Liu, Y. & Goldman, A. M. Onset of superconductivity in the two-dimensional limit. Phys. Rev. Lett. 62, 2180–2183 (1989).
Yazdani, A. & Kapitulnik, A. Superconducting-insulating transition in two-dimensional a-MoGe thin films. Phys. Rev. Lett. 74, 3037–3040 (1995).
Goldman, A. M. & Marković, N. Superconductor-insulator transitions in the two-dimensional limit. Phys. Today 11, 39–44 (1998).
Bezryadin, A., Lau, C. N. & Tinkham, M. Quantum suppression of superconductivity in ultrathin nanowires. Nature 404, 971–974 (2000).
Guo, Y. et al. Superconductivity modulated by quantum size effects. Science 306, 1915–1917 (2004).
Zgirski, M., Riikonen, K.-P., Toubolotsev, V. & Arutyunov, K. Size dependent breakdown of superconductivity in ultranarrow nanowires. Nano Lett. 5, 1029–1033 (2005).
Skvortsov, M. A. & Feigel’man, M. V. Superconductivity in disordered thin films: giant mesoscopic fluctuations. Phys. Rev. Lett. 95, 057002 (2005).
Hermele, M., Refael, G., Fisher, M. P. A. & Goldbart, P. M. Fate of the Josephson effect in thin-film superconductors. Nature Phys. 1, 117–121 (2005).
Zhang, Z. Y., Niu, Q. & Shih, C.-K. Electronic growth of metallic overlayers on semiconductor substrates. Phys. Rev. Lett. 80, 5381–5384 (1998).
Özer, M. M., Jia, Y., Wu, B., Zhang, Z. Y. & Weitering, H. H. Quantum stability and reentrant bilayer-by-bilayer growth of atomically smooth Pb films on semiconductor substrates. Phys. Rev. B 72, 113409 (2005).
Budde, K., Abram, E., Yeh, V. & Tringides, M. C. Uniform, self-organized, seven-step height Pb/Si(111)-(7×7) islands at low temperatures. Phys. Rev. B 61, R10602–R10605 (2000).
Su, W. B. et al. Correlation between quantized electronic states and oscillatory thickness relaxations of 2D Pb islands on Si(111)-(7×7) surfaces. Phys. Rev. Lett. 86, 5116–5119 (2001).
Okamoto, H., Chen, D. & Yamada, T. Competing classical and quantum effects in shape relaxation of a metallic island. Phys. Rev. Lett. 89, 256101 (2002).
Mans, A., Dil, J. H., Ettema, A. R. H. F. & Weitering, H. H. Quantum electronic stability and spectroscopy of ultrathin Pb films on Si(111) 7×7 . Phys. Rev. B 66, 195410 (2002).
Jiang, C.-S. et al. Building Pb nanomesas with atomic-layer precision. Phys. Rev. Lett. 92, 106104 (2004).
Upton, M., Wei, C. M., Chou, M. Y., Miller, T. & Chiang, T.-C. Thermal stability and electronic structure of atomically uniform Pb films on Si(111). Phys. Rev. Lett. 93, 026802 (2004).
Feng, R., Conrad, E. H., Tringides, M. C., Kim, C. & Miceli, P. F. Wetting-layer transformation for Pb nanocrystals grown on Si(111). Appl. Phys. Lett. 85, 3866–3868 (2004).
Simonin, J. Surface term in the superconductive Ginzburg-Landau free energy: Application to thin films. Phys. Rev. B 33, 7830–7832 (1986).
Tinkham, M. Introduction to Superconductivity 2nd edn (McGraw-Hill, New York, 1996).
Bulaevskii, L. N. Inhomogeneous state and the anisotropy of the upper critical field in layered superconductors with Josephson layer interaction. Sov. Phys. JETP 38, 634–639 (1974).
Takahashi, S. & Tachiki, M. Theory of the upper critical field of superconducting superlattices. Phys. Rev. B 33, 4620–4631 (1986).
Gvozdikov, V. M. A crossover in the temperature behavior of the perpendicular upper critical magnetic field of layered superconductors and thin films. Low. Temp. Phys. 25, 936–942 (1999).
Bean, C. P. Magnetization of hard superconductors. Phys. Rev. Lett. 8, 250–253 (1962).
Clem, J. R. & Sanchez, A. Hysteretic ac losses and susceptibility of thin superconducting disks. Phys. Rev. B 50, 9355–9362 (1994).
Brandt, E. H. Susceptibility of superconductor disks and rings with and without flux creep. Phys. Rev. B 55, 14513–14526 (1997).
Nelson, D. R. & Vinokur, V. M. Boson localization and correlated pinning of superconducting vortex arrays. Phys. Rev. B 48, 13060–13097 (1993).
Thompson, J. R. et al. Vortex pinning and slow creep in high-J(c) MgB2 thin films: a magnetic and transport study. Supercond. Sci. Technol. 18, 970 (2005).
Gurevich, A. & Brandt, E. H. Flux creep in superconducting films: An exact solution. Phys. Rev. Lett. 73, 178–181 (1994).
Acknowledgements
We acknowledge discussions with L. Bulaevskii, A. Gurevich, V. G. Kogan, Q. Niu, and Z. Zhang. This work was funded primarily by the National Science Foundation under Contract No. DMR-0244570, and sponsored in part by the Division of Materials Sciences and Engineering, Office of Basic Energy Sciences, US Department of Energy, under contract DE-AC05-00OR22725 with Oak Ridge National Laboratory, managed and operated by UT-Battelle, LLC.
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Özer, M., Thompson, J. & Weitering, H. Hard superconductivity of a soft metal in the quantum regime. Nature Phys 2, 173–176 (2006). https://doi.org/10.1038/nphys244
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DOI: https://doi.org/10.1038/nphys244
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