Abstract
The transition line of superconducting arrays of holes exhibits a rich field structure due to the interference of superconducting states nucleated at the holes edges. We studied by means of resistance measurements their effect on the T* c (H) line as a function of transverse magnetic field using regular arrays of nanofabricated micron size holes. The arrays transition fields are higher than for the bulk. Moreover we found a nontrivial field modulation of the T* c (H) line with an inversion, with increasing field, of the modulation concavity which we assigned to a crossover from a collective to an isolated edge state regime. The high field regime is well described by the nucleation at a single hole in an infinite film. The modulation at low fields was found to be dominated by the interference of neighbor edge states when the inter-hole distance w becomes comparable to the coherence length ξ(T* c ). A comparison between arrays of different hole shape shows the influence of geometry on the type of interaction established, which can described either as a superconducting wire network or as a weak link array.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. Bezryadin and B. Pannetier, J. Low Temp. Phys. 98, 251 (1995); A. Bezryadin and B. Pannetier, Physica Scripta T66, 225 (1996).
A. T. Fiory, A. F. Hebard, and S. Somekh, Appl. Phys. Lett. 32, 73 (1978).
M. Baert, V. V. Metlushko, R. Jonckheere, V. V. Moschalkov, and Y. Bruynseraede, Phys. Rev. Lett. 74, 3269 (1995).
A. I. Buzdin, Phys. Rev. B 47, 11416 (1993).
S. Alexander, Phys. Rev. B 27, 1541 (1983).
R. Rammal, T. C. Lubensky, and G. Toulouse, Phys. Rev. B 27, 2820 (1983).
D. Saint-James and P. G. Gennes, Phys. Lett. 7, 306 (1963).
L. G. Aslamazov and A. I. Larkin, Phys. Lett. A 26, 238 (1968).
A. A. Abrikosov, Fundamentals of the theory of metals, North-Holland (1988), Chap. 21.
P. G. de Gennes, Superconductivity in Metals in Alloys, Benjamin, New York (1966), Chap. 8.
K. Maki, Superconductivity, edited by R. D. Parks, Dekker, New York (1969), Chap. 18.
A. Bezryadin, Yu. N. Ovchinikov, and B. Pannetier, Phys. Rev. B 53, 8553 (1996).
D. F. Hofstadter, Phys. Rev. B 14, 2239 (1976).
B. Pannetier, J. Chaussy, R. Rammal, and J. C. Villegier, Phys. Rev. Lett. 53, 1845 (1984).
Y. Y. Wang, B. Doucot, R. Rammal, and B. Pannetier, Phys. Lett. A 199, 145 (1986).
H. J. Fink, Phys. Rev. 177, 1017 (1969).
H. A. Schultens, Z. Physik 232, 430 (1970).
A. Bezryadin, A. I. Buzdin, and B. Pannetier, Phys. Rev. B 51, 3718 (1995); Yu. N. Ovchinnikov, Sov. Phys. JETP 52, 755 (1980).
R. Benoist and W. Zwerger, Z. Phys. B 103, 377 (1997).
M. Tinkham, Introduction to Superconductivity, Mac Graw-Hill, New York (1996).
J. J. Palacios, Phys. Rev. B 57, 10873 (1998).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Abilio, C.C., Amico, L., Fazio, R. et al. Coherence Between Superconducting Edge States in Superconducting Periodic Arrays of Artificial Defects. Journal of Low Temperature Physics 118, 23–43 (2000). https://doi.org/10.1023/A:1004622418666
Issue Date:
DOI: https://doi.org/10.1023/A:1004622418666