First-order 0-π quantum phase transition in the kondo regime of a superconducting carbon-nanotube quantum dot

Physical Review X

Volumn 2, Issue 1, 2012, Pages

  Maurand, Romain ^a   Meng, Tobias ^b   Bonet, Edgar ^a   Florens, Serge ^a   Marty, Laëtitia ^a   Wernsdorfer, Wolfgang ^a  

^a LABORATOIRE DE CRISTALLOGRAPHIE   (France)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

Mesoscopics; Nanophysics; Superconductivity

Indexed keywords

ANHARMONIC; CHARGE STATE; CURRENT-PHASE RELATIONS; FIRST-ORDER; JOSEPHSON JUNCTIONS; KONDO REGIME; KONDO STATE; KONDO TEMPERATURES; LOCAL PAIRING; MESOSCOPICS; MIXED VALENCE; NANOPHYSICS; NORMAL STATE; PROXIMITY EFFECTS; QUANTUM PHASE TRANSITIONS; STRONG ELECTRON CORRELATIONS; SUPERCONDUCTING GAPS; SUPERCONDUCTING STATE; SUPERCURRENTS; TRANSITION REGIMES; TUNABILITIES; TUNNELING AMPLITUDE;

CARBON; KONDO EFFECT; PHASE DIAGRAMS; QUANTUM OPTICS; QUANTUM THEORY; SEMICONDUCTOR QUANTUM DOTS;

SUPERCONDUCTIVITY;

EID: 84861816887     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.2.011009     Document Type: Article

References (38)

1. S. De Franceschi, L. Kouwenhoven, C. Schönenberger, and W. Wernsdorfer, Hybrid Superconductor-Quantum Dot Devices, Nature Nanotech. 5, 703 (2010).
2. P. Jarillo-Herrero, J. A. Van Dam, and L. P. Kouwenhoven, Quantum Supercurrent Transistors in Carbon Nanotubes, Nature (London) 439, 953 (2006).
3. J. A. Van Dam, Y.V. Nazarov, E. P. A. M. Bakkers, S. De Franceschi, and L. P.Kouwenhoven, Supercurrent Reversal in Quantum Dots, Nature (London) 442, 667 (2006).
4. J.-P. Cleuziou, W. Wernsdorfer, V. Bouchiat, T. Ondarçuhu, and M. Monthioux, Carbon Nanotube Superconducting Quantum Interference Device, Nature Nanotech. 1, 53 (2006).
5. C. B.Winkelmann, N. Roch, W.Wernsdorfer, V. Bouchiat, and F. Balestro, Superconductivity in a Single C60 Transistor, Nature Phys. 5, 876 (2009).
6. L. Hofstetter, S. Csonka, J. Nygård, and C. Schönenberger, Cooper Pair Splitter Realized in a Two-Quantum-Dot Y-Junction, Nature (London) 461, 960 (2009).
7. L. G. Herrmann, F. Portier, P. Roche, A. Levy Yeyati, T. Kontos, and C. Strunk, Carbon Nanotubes as Cooper-Pair Beam Splitters, Phys. Rev. Lett. 104, 026801 (2010).
8. H. Ingerslev Jorgensen, T. Novotný, K. Grove-Rasmussen, K. Flensberg, and P. E Lindelof, Critical Current 0-pi Transition in Designed Josephson Quantum Dot Junctions, Nano Lett. 7, 2441 (2007).
9. A.Y. Kasumov, R. Deblock, M. Kociak, B. Reulet, H. Bouchiat, I. I. Khodos, Yu. B. Gorbatov, V. T. Volkov, C. Journet, and M. Burghard, Supercurrents through Single-Walled Carbon Nanotubes, Science 284, 1508 (1999).
10. M. R. Buitelaar, T. Nussbaumer, and C. Schonenberger, Quantum Dot in the Kondo Regime Coupled to Superconductors, Phys. Rev. Lett. 89, 256801 (2002).
11. J.-P. Cleuziou, W. Wernsdorfer, V. Bouchiat, T. Ondarçuhu, and M. Monthioux, Tuning the Kondo Effect with Back and Side Gates-Application to Carbon Nanotube Superconducting Quantum Interference Devices and Pi-Junctions, arXiv:cond-mat/0610622v1.
12. J.-P. Cleuziou, W. Wernsdorfer, S. Andergassen, S. Florens, V. Bouchiat, T. Ondarçuhu, and M. Monthioux, Gate-Tuned High Frequency Response of Carbon Nanotube Josephson Junctions, Phys. Rev. Lett. 99, 117001 (2007).
13. E. Pallecchi, M. Gaass, D. A. Ryndyk, and Ch. Strunk, Carbon Nanotube Josephson Junctions with Nb Contacts, Appl. Phys. Lett. 93, 072501 (2008).
14. K. Grove-Rasmussen, H. I. Jørgensen, B. M. Andersen, J. Paaske, T. S. Jespersen, J. Nygård, K. Flensberg, and P. E. Lindelof, Superconductivity-Enhanced Bias Spectroscopy in Carbon Nanotube Quantum Dots, Phys. Rev. B 79, 134518 (2009).
15. A. Eichler, R. Deblock, M. Weiss, C. Karrasch, V. Meden, C. Schonenberger, and H. Bouchiat, Tuning the Josephson Current in Carbon Nanotubes with the Kondo Effect, Phys. Rev. B 79, 161407 (2009).
16. Y. Kanai, R. S. Deacon, A. Oiwa, K. Yoshida, K. Shibata, K. Hirakawa, and S. Tarucha, Electrical Control of Kondo Effect and Superconducting Transport in a Side-Gated InAs Quantum Dot Josephson Junction, Phys. Rev. B 82, 054512 (2010).
17. C.W. J. Beenakker and H. van Houten, Single-Electron Tunneling and Mesoscopic Devices (Springer, Berlin, 1992).
18. A.V. Rozhkov and D. P Arovas, Josephson Coupling through a Magnetic Impurity, Phys. Rev. Lett. 82, 2788 (1999).
19. A. A. Clerk and V. Ambegaokar, Loss of _-Junction Behavior in an Interacting Impurity Josephson Junction, Phys. Rev. B 61, 9109 (2000).
20. T. Yoshioka and Y. Ohashi, Numerical Renormalization Group Studies on Single Impurity Anderson Model in Superconductivity: A Unified Treatment of Magnetic, Nonmagnetic Impurities, and Resonance Scattering, J. Phys. Soc. Jpn. 69, 1812 (2000).
21. E. Vecino, A. Martin-Rodero, and A. Levy Yeyati, Josephson Current through a Correlated Quantum Level: Andreev States and π Junction Behavior Phys. Rev. B 68, 035105 (2003).
22. F. Siano and R. Egger, Josephson Current through a Nanoscale Magnetic Quantum Dot, Phys. Rev. Lett. 93, 047002 (2004).
23. M. S. Choi, M. Lee, K. Kang, andW. Belzig, Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors, Phys. Rev. B 70, 020502 (2004).
24. G. Sellier, T. Kopp, J. Kroha, and Y. S. Barash, π-Junction Behavior and Andreev Bound States in Kondo Quantum Dots with Superconducting Leads, Phys. Rev. B 72, 174502 (2005).
25. T. Novotný, A. Rossini, and K. Flensberg, Josephson Current through a Molecular Transistor in a Dissipative Environment, Phys. Rev. B 72, 224502 (2005).
26. J. Bauer, A. Oguri, and A. C. Hewson, Spectral Properties of Locally Correlated Electrons in a Bardeen-Cooper-Schrieffer Superconductor, J. Phys. Condens. Matter 19, 486211 (2007).
27. C. Karrasch, A. Oguri, and V. Meden, Josephson Current through a Single Anderson Impurity Coupled to BCS Leads, Phys. Rev. B 77, 024517 (2008).
28. T. Meng, S. Florens, and P. Simon, Self-Consistent Description of Andreev Bound States in Josephson Quantum Dot Devices, Phys. Rev. B 79, 224521 (2009).
29. L. I. Glazman and K. A. Matveev, Resonant Josephson Current through Kondo Impurities in a Tunnel Barrier, JETP Lett. 49, 659 (1989) [http://www.jetpletters.ac.ru/ps/1121/article_16988.shtml].
30. L. Kouwenhoven and L. Glazman, Revival of the Kondo Effect, Phys. World 14, 33 (2001).
31. W.Y. Liu, I. E. Magnin, and G. Gimenez, A New Operator for the Detection of Transitions in Noisy Signals, Traitement du Signal 12, 225 (1995) [http://hdl.handle.net/2042/1907,inFrench].
32. H. Grabert and M. H. Devoret, Single Charge Tunneling (Plenum Press, New York, 1992).
33. D. Goldhaber-Gordon, J. Göres, M. Kastner, Hadas Shtrikman, D. Mahalu, and U. Meirav, From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor, Phys. Rev. Lett. 81, 5225 (1998).
34. F. D. M. Haldane, Scaling Theory of the Asymmetric Anderson Model, Phys. Rev. Lett. 40, 416 (1978).
35. R. Bulla, T. A. C. Costi, and T. Pruschke, Numerical Renormalization Group Method for Quantum Impurity Systems, Rev. Mod. Phys. 80, 395 (2008).
36. T. Fujii and K. Ueda, Perturbative Approach to the Nonequilibrium Kondo Effect in a Quantum Dot, Phys. Rev. B 68, 1 (2003).
37. M. Della Rocca, M. Chauvin, B. Huard, H. Pothier, D. Esteve, and C. Urbina, Measurement of the Current-Phase Relation of Superconducting Atomic Contacts, Phys. Rev. Lett. 99, 127005 (2007).
38. J.-D. Pillet, C. H. L. Quay, P. Morfin, C. Bena, A. Levy Yeyati, and P. Joyez, Andreev Bound States in Supercurrent-Carrying Carbon Nanotubes Revealed, Nature Phys. 6, 965 (2010).