Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Enhancement of proximity-induced superconductivity in a planar Ge hole gas

Kushagra Aggarwal1,*, Andrea Hofmann1, Daniel Jirovec1, Ivan Prieto1, Amir Sammak2, Marc Botifoll3, Sara Martí-Sánchez3, Menno Veldhorst4, Jordi Arbiol3,5 et al.

Giordano Scappucci4, Jeroen Danon6, and Georgios Katsaros1,†

  • 1Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria
  • 2QuTech and Netherlands Organisation for Applied Scientific Research (TNO), Stieltjesweg 1, 2628 CK Delft, The Netherlands
  • 3Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and BIST, Campus UAB, 08193 Bellaterra, Barcelona, Catalonia, Spain
  • 4QuTech and Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
  • 5ICREA, Pg. Llus Companys 23, 08010 Barcelona, Catalonia, Spain
  • 6Center for Quantum Spintronics, Department of Physics, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

  • *kushagra.aggarwal@ist.ac.at
  • georgios.katsaros@ist.ac.at

Phys. Rev. Research 3, L022005 – Published 15 April, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L022005

Abstract

Hole gases in planar germanium can have high mobilities in combination with strong spin-orbit interaction and electrically tunable g factors, and are therefore emerging as a promising platform for creating hybrid superconductor-semiconductor devices. A key challenge towards hybrid Ge-based quantum technologies is the design of high-quality interfaces and superconducting contacts that are robust against magnetic fields. In this work, by combining the assets of aluminum, which provides good contact to the Ge, and niobium, which has a significant superconducting gap, we demonstrate highly transparent low-disordered JoFETs with relatively large ICRN products that are capable of withstanding high magnetic fields. We furthermore demonstrate the ability of phase-biasing individual JoFETs, opening up an avenue to explore topological superconductivity in planar Ge. The persistence of superconductivity in the reported hybrid devices beyond 1.8 T paves the way towards integrating spin qubits and proximity-induced superconductivity on the same chip.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (51)

  1. A. Y. Kitaev, Unpaired Majorana fermions in quantum wires, Phys. Usp. 44, 131 (2001).
  2. C. Nayak, S. H. Simon, A. Stern, M. H. Freedman, and S. Das Sarma, Non-Abelian anyons and topological quantum computation, Rev. Mod. Phys. 80, 1083 (2008).
  3. R. Aguado, Majorana quasiparticles in condensed matter, Riv. Nuovo Cimento 40, 523 (2017).
  4. R. M. Lutchyn, E. P. A. M. Bakkers, L. P. Kouwenhoven, P. Krogstrup, C. M. Marcus, and Y. Oreg, Majorana zero modes in superconductor-semiconductor heterostructures, Nat. Rev. Mater. 3, 52 (2018).
  5. J. Xiang, A. Vidan, M. Tinkham, R. M. Westervelt, and C. M. Lieber, Ge/Si nanowire mesoscopic Josephson junctions, Nat. Nanotechnol. 1, 208 (2006).
  6. E. J. H. Lee, X. Jiang, M. Houzet, R. Aguado, C. M. Lieber, and S. De Franceschi, Spin-resolved Andreev levels and parity crossings in hybrid superconductor–semiconductor nanostructures, Nat. Nanotechnol. 9, 79 (2014).
  7. J. Ridderbos, M. Brauns, A. Li, E. P. A. M. Bakkers, A. Brinkman, W. G. van der Wiel, and F. A. Zwanenburg, Multiple Andreev reflections and Shapiro steps in a Ge-Si nanowire Josephson junction, Phys. Rev. Mater. 3, 084803 (2019).
  8. L. Casparis, M. R. Connolly, M. Kjaergaard, N. J. Pearson, A. Kringhøj, T. W. Larsen, F. Kuemmeth, T. Wang, C. Thomas, S. Gronin, G. C. Gardner, M. J. Manfra, C. M. Marcus, and K. D. Petersson, Superconducting gatemon qubit based on a proximitized two-dimensional electron gas, Nat. Nanotechnol. 13, 915 (2018).
  9. C. Jünger, R. Delagrange, D. Chevallier, S. Lehmann, K. A. Dick, C. Thelander, J. Klinovaja, D. Loss, A. Baumgartner, and C. Schönenberger, Magnetic-Field-Independent Subgap States in Hybrid Rashba Nanowires, Phys. Rev. Lett. 125, 017701 (2020).
  10. T. W. Larsen, K. D. Petersson, F. Kuemmeth, T. S. Jespersen, P. Krogstrup, J. Nygård, and C. M. Marcus, Semiconductor-Nanowire-Based Superconducting Qubit, Phys. Rev. Lett. 115, 127001 (2015).
  11. T. W. Larsen, M. E. Gershenson, L. Casparis, A. Kringhøj, N. J. Pearson, R. P. G. McNeil, F. Kuemmeth, P. Krogstrup, K. D. Petersson, and C. M. Marcus, Parity-Protected Superconductor-Semiconductor Qubit, Phys. Rev. Lett. 125, 056801 (2020).
  12. F. Luthi, T. Stavenga, O. W. Enzing, A. Bruno, C. Dickel, N. K. Langford, M. A. Rol, T. S. Jespersen, J. Nygård, P. Krogstrup, and L. DiCarlo, Evolution of Nanowire Transmon Qubits and Their Coherence in a Magnetic Field, Phys. Rev. Lett. 120, 100502 (2018).
  13. K. D. Petersson, L. W. McFaul, M. D. Schroer, M. Jung, J. M. Taylor, A. A. Houck, and J. R. Petta, Circuit quantum electrodynamics with a spin qubit, Nature (London) 490, 380 (2012).
  14. G. Burkard, M. J. Gullans, X. Mi, and J. R. Petta, Superconductor–semiconductor hybrid-circuit quantum electrodynamics, Nat. Rev. Phys. 2, 129 (2020).
  15. H. Watzinger, J. Kukučka, L. Vukušić, F. Gao, T. Wang, F. Schäffler, J.-J. Zhang, and G. Katsaros, A germanium hole spin qubit, Nat. Commun. 9, 3902 (2018).
  16. J. Ridderbos, M. Brauns, F. K. de Vries, J. Shen, A. Li, S. Kölling, M. A. Verheijen, A. Brinkman, W. G. van der Wiel, E. P. A. M. Bakkers, and F. A. Zwanenburg, Hard superconducting gap and diffusion-induced superconductors in Ge-Si nanowires, Nano Lett. 20, 122 (2020).
  17. G. Scappucci, C. Kloeffel, F. A. Zwanenburg, D. Loss, M. Myronov, J.-J. Zhang, S. De Franceschi, G. Katsaros, and M. Veldhorst, The germanium quantum information route, Nat. Rev. Mater. (2020), doi: 10.1038/s41578-020-00262-z.
  18. N. W. Hendrickx, W. I. L. Lawrie, M. Russ, F. van Riggelen, S. L. de Snoo, R. N. Schouten, A. Sammak, G. Scappucci, and M. Veldhorst, A four-qubit germanium quantum processor, Nature (London) 591, 580 (2021).
  19. N. W. Hendrickx, D. P. Franke, A. Sammak, M. Kouwenhoven, D. Sabbagh, L. Yeoh, R. Li, M. L. V. Tagliaferri, M. Virgilio, G. Capellini, G. Scappucci, and M. Veldhorst, Gate-controlled quantum dots and superconductivity in planar germanium, Nat. Commun. 9, 2835 (2018).
  20. N. W. Hendrickx, M. L. V. Tagliaferri, M. Kouwenhoven, R. Li, D. P. Franke, A. Sammak, A. Brinkman, G. Scappucci, and M. Veldhorst, Ballistic supercurrent discretization and micrometer-long Josephson coupling in germanium, Phys. Rev. B 99, 075435 (2019).
  21. N. W. Hendrickx, D. P. Franke, A. Sammak, G. Scappucci, and M. Veldhorst, Fast two-qubit logic with holes in germanium, Nature (London) 577, 487 (2020).
  22. F. Vigneau, R. Mizokuchi, D. C. Zanuz, X. Huang, S. Tan, R. Maurand, S. Frolov, A. Sammak, G. Scappucci, F. Lefloch, and S. De Franceschi, Germanium quantum-well Josephson field-effect transistors and interferometers, Nano Lett. 19, 1023 (2019).
  23. F. Pientka, A. Keselman, E. Berg, A. Yacoby, A. Stern, and B. I. Halperin, Topological Superconductivity in a Planar Josephson Junction, Phys. Rev. X 7, 021032 (2017).
  24. A. Sammak, D. Sabbagh, N. W. Hendrickx, M. Lodari, B. Paquelet Wuetz, A. Tosato, L. Yeoh, M. Bollani, M. Virgilio, M. A. Schubert, P. Zaumseil, G. Capellini, M. Veldhorst, and G. Scappucci, Shallow and undoped germanium quantum wells: A playground for spin and hybrid quantum technology, Adv. Funct. Mater. 29, 1807613 (2019).
  25. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L022005 for HAADF-STEM and STEM-EELS data, extraction of superconducting gap and excess current, and characteristics of individual Josephson junctions in the SQUID and ICRN for Al based Josephson junction.
  26. M. Tinkham, Introduction to Superconductivity (Courier Corporation, New York, 2004).
  27. M. G. Blamire, E. C. G. Kirk, J. E. Evetts, and T. M. Klapwijk, Extreme Critical-Temperature Enhancement of Al by Tunneling in Nb/AlOx/Al/AlOx/Nb Tunnel Junctions, Phys. Rev. Lett. 66, 220 (1991).
  28. C. W. J. Beenakker, Universal Limit of Critical-Current Fluctuations in Mesoscopic Josephson Junctions, Phys. Rev. Lett. 67, 3836 (1991).
  29. T. Klapwijk, G. Blonder, and M. Tinkham, Explanation of subharmonic energy gap structure in superconducting contacts, Physica B+C 109-110, 1657 (1982).
  30. B. T. Matthias, T. H. Geballe, and V. B. Compton, Superconductivity, Rev. Mod. Phys. 35, 1 (1963).
  31. A. C. C. Drachmann, H. J. Suominen, M. Kjaergaard, B. Shojaei, C. J. Palmstrm, C. M. Marcus, and F. Nichele, Proximity effect transfer from NbTi into a semiconductor heterostructure via epitaxial aluminum, Nano Lett. 17, 1200 (2017).
  32. M. Kjaergaard, H. J. Suominen, M. P. Nowak, A. R. Akhmerov, J. Shabani, C. J. Palmstrøm, F. Nichele, and C. M. Marcus, Transparent semiconductor-superconductor interface and induced gap in an epitaxial heterostructure Josephson junction, Phys. Rev. Appl. 7, 034029 (2017).
  33. D. Averin and A. Bardas, AC Josephson Effect in a Single Quantum Channel, Phys. Rev. Lett. 75, 1831 (1995).
  34. K. Flensberg, J. B. Hansen, and M. Octavio, Subharmonic energy-gap structure in superconducting weak links, Phys. Rev. B 38, 8707 (1988).
  35. M. Octavio, M. Tinkham, G. E. Blonder, and T. M. Klapwijk, Subharmonic energy-gap structure in superconducting constrictions, Phys. Rev. B 27, 6739 (1983).
  36. V. Z. Kresin, Josephson current in low-dimensional proximity systems and the field effect, Phys. Rev. B 34, 7587 (1986).
  37. Being not strictly in the short-junction limit could also provide an explanation for the rather low value we found for ICRN [50].
  38. C. W. J. Beenakker and H. van Houten, Josephson Current Through a Superconducting Quantum Point Contact Shorter than the Coherence Length, Phys. Rev. Lett. 66, 3056 (1991).
  39. O. Dorokhov, On the coexistence of localized and extended electronic states in the metallic phase, Solid State Commun. 51, 381 (1984).
  40. Y. V. Nazarov, Limits of Universality in Disordered Conductors, Phys. Rev. Lett. 73, 134 (1994).
  41. A. A. Golubov, M. Y. Kupriyanov, and E. Il'ichev, The current-phase relation in Josephson junctions, Rev. Mod. Phys. 76, 411 (2004).
  42. R. D. Parks, Pair-breaking mechanisms in superconductors, J. Appl. Phys. 39, 2515 (1968).
  43. A. Rasmussen, J. Danon, H. Suominen, F. Nichele, M. Kjaergaard, and K. Flensberg, Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions, Phys. Rev. B 93, 155406 (2016).
  44. I. S. Khukhareva, The Superconducting Properties of Thin Aluminum Films, Sov. JETP 16, 828 (1963).
  45. F. Nichele, E. Portolés, A. Fornieri, A. M. Whiticar, A. C. C. Drachmann, S. Gronin, T. Wang, G. C. Gardner, C. Thomas, A. T. Hatke, M. J. Manfra, and C. M. Marcus, Relating Andreev Bound States and Supercurrents in Hybrid Josephson Junctions, Phys. Rev. Lett. 124, 226801 (2020).
  46. D. B. Szombati, S. Nadj-Perge, D. Car, S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Josephson ϕ0-junction in nanowire quantum dots, Nat. Phys. 12, 568 (2016).
  47. W. Mayer, M. C. Dartiailh, J. Yuan, K. S. Wickramasinghe, E. Rossi, and J. Shabani, Gate controlled anomalous phase shift in al/InAs josephson junctions, Nat. Commun. 11, 212 (2020).
  48. A. Assouline, C. Feuillet-Palma, N. Bergeal, T. Zhang, A. Mottaghizadeh, A. Zimmers, E. Lhuillier, M. Eddrie, P. Atkinson, M. Aprili, and H. Aubin, Spin-Orbit induced phase-shift in Bi2Se3 Josephson junctions, Nat. Commun. 10, 126 (2019).
  49. G. Kim, S. Kim, J. Kim, C. Shin, J. Park, K. C. Saraswat, B. J. Cho, and H. Yu, Surface passivation of germanium using SF6 plasma to reduce source/drain contact resistance in germanium n-FET, IEEE Electron Device Lett. 36, 745 (2015).
  50. P. Dubos, H. Courtois, B. Pannetier, F. K. Wilhelm, A. D. Zaikin, and G. Schön, Josephson critical current in a long mesoscopic S-N-S junction, Phys. Rev. B 63, 064502 (2001).
  51. G. Katsaros, Raw transport data for: Enhancement of proximity induced superconductivity in planar germanium (2021), doi:10.15479/AT:ISTA:9291.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation