Superconducting loops containing a π-junction are predicted to show a spontaneous magnetic moment in zero external magnetic field. In order to confirm this longstanding prediction experimentally, we performed magnetization measurements on individual mesoscopic superconducting niobium loops with a ferromagnetic (PdNi) π-junction. The loops are prepared on top of the active area of a micro Hall-sensor based on high mobility GaAs/AlGaAs heterostructures. We observe switching of the loop between different magnetization states at very low-magnetic fields, which is asymmetric for positive and negative sweep direction. This is evidence for a spontaneous current induced by the intrinsic phase shift of the π-junction. In addition, the presence of the spontaneous current at zero applied field is directly revealed by an increase of the magnetic moment with decreasing temperature, which results in a half integer flux quantization in the loop at low temperatures.
Similar content being viewed by others
References
A. I. Buzdin, L. N. Bulaevskii, and S. V. Panyukov, JETP Lett. 35, 178 (1982) [Pis’ma Zh. Eksp. Teor. Fiz. 35, 147 (1982)].
L. N. Bulaevskii, V. V. Kuzii, and A. A. Sobyanin, JETP Lett. 25, 290 (1977) [Pis’ma Zh. Eksp. Teor. Fiz. 25, 314 (1977)].
Strunk C., Sürgers C., Paschen U., von Löhneysen H. (1994). Phys. Rev. B 49: 4053
Jiang J.S., Davidovic D., Reich D.H., Chien C.L. (1995). Phys. Rev. Lett. 74: 314
Blum Y., Tsukernik A., Karpovski M., Palevski A. (2002). Phys. Rev. Lett. 89: 187004
Ryazanov V.V., Oboznov V.A., Rusanov A.Yu., Veretennikov A.V., Golubov A.A., Aarts J. (2001). Phys. Rev. Lett. 86: 2427
Kontos T., Aprili M., Lesueur J., Gent F., Stephanidis B., Boursier R. (2002). Phys. Rev. Lett. 89: 137007
Ryazanov V.V., Oboznov V.A., Veretennikov A.V., Rusanov A.Yu. (2002). Phys. Rev. B 65: 020501
Guichard W., Aprili M., Bourgeois O., Kontos T., Lesueur J., Gandit P. (2003). Phys. Rev. Lett. 90: 167001
Bauer A., Bentner J., Aprili M., Della Rocca M.L., Reinwald M., Wegscheider W., Strunk C. (2004). Phys. Rev. Lett. 92: 217001
Frolov S.M., Van Harlingen D.J., Oboznov V.A., Bolginov V.V., Ryazanov V.V. (2004). Phys. Rev. B 70: 144505
Geim A.K., Dubonos S.V., Lok J.G.S., Grigorieva I.V., Maan J.C., Theil Hansen L., Lindelof P.E. (1997). Appl. Phys. Lett. 71:2379
Barone A., Paterno G. (1982) Physics and Applications of the Josephson Effect. Wiley, New York
Grover F.W. (1962) Inductance Calculations: Working Formulas and Tables. Dover Publications, New York
A calculation of the flux through the active area of the Hall-cross as a function of the loop size and the distance to the two-dimensional electron gas confirms such a strong dependence of α on the loop size.
Radovic Z., Dobrosavljevic-Grujic L., Vujiic B. (2001). Phys. Rev. B 63:214512
Golubov A.A., Kupriyanov M.Yu., Il’ichev E. (2004). Rev. Mod. Phys. 76: 411
Sellier H., Baraduc C., Lefloch F., Calemczuk R. (2004). Phys. Rev. Lett. 92: 257005
Frolov S.M., Van Harlingen D.J., Bolginov V.V., Oboznov V.A., Ryazanov V.V. (2006). Phys. Rev. B 74: 020503(R)
Author information
Authors and Affiliations
Corresponding author
Additional information
This work is dedicated to H. von Löhneysen on the occasion of his 60th birthday.
Rights and permissions
About this article
Cite this article
Bauer, A., Bentner, J., Aprili, M. et al. Half-Integer Flux Quantization in a Superconducting Loop with a Ferromagnetic π-Junction. J Low Temp Phys 147, 431–439 (2007). https://doi.org/10.1007/s10909-007-9328-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-007-9328-7