Abstract
In studies on Josephson Junctions arrays (JJA), it is usually assumed that finite size effects enter only through the grain capacitance and that the amplitude of the superconducting gap is well described by the bulk Bardeeen–Cooper–Schrieber (BCS) prediction. Here, we employ path integral techniques to show analytically that for sufficiently small grains thermal fluctuations modify substantially the amplitude of the order parameter and the critical temperature of the JJA. We identify a region of sizes and temperatures for which quantum fluctuations are negligible and thermal fluctuations enhance the critical temperature of the JJA.
Similar content being viewed by others
References
Josephson, B.D.: Phys. Lett. 1, 251 (1962)
Eley, S., Gopalakrishnan, S., Goldbart, P.M., Mason, N.: Nat. Phys. 8, 59 (2012)
Orr, B.G., Jaeger, H.M., Goldman, A.M., Kuper, C.G.: Phys. Rev. Lett. 56, 378 (1986)
Jaeger, H.M., Haviland, D.B., et al.: Phys. Rev. B 40, 182 (1989)
Ambegaokar, V., Eckern, U., Schon, G.: Phys. Rev. Lett. 48, 1745 (1982)
Caldeira, A.D., Leggett, A.J.: Phys. Rev. Lett. 48, 1571 (1982)
Ghosal, A., Randeria, M., Trivedi, N.: Phys. Rev. B 65, 014501 (2001)
Lang, K.M., Madhavan, V., et al.: Nature 415, 412 (2002)
Abeles, B.: Phys. Rev. B 15, 2828 (1973)
Merchant, L., Ostrick, J., et al.: Phys. Rev. B 63, 134508 (2001)
Chakravarty, S., Ingold, G.L., et al.: Phys. Rev. Lett. 56, 2303 (1986)
Beloborodov, I.S., Lopatin, A.V., et al.: Rev. Mod. Phys. 79, 469 (2007)
Efetov, K.B.: Sov. Phys. JETP 52, 568 (1980)
Bradley, R.M., Doniach, S.: Phys. Rev. B 30, 1138 (1984)
Fisher, M.P.A.: Phys. Rev. B 36, 1917 (1987)
Zaikin, A.D., Golubev, D.S., et al.: Phys. Rev. Lett. 78, 1552 (1997)
Buchler, H.P., Geshkenbein, V.B., Blatter, G.: Phys. Rev. Lett. 92, 067007 (2004)
Kosterlitz, J.M., Thouless, D.J.: J. Phys. C, Solid State Phys. 6, 1181 (1973)
Chakravarty, S., et al.: Phys. Rev. B 35, 7256 (1987)
Kampf, A., Schoen, G.: Phys. Rev. B 36, 3651 (1987)
Bose, S., et al.: Nat. Mater. 9, 550 (2010)
Brihuega, I., et al.: Phys. Rev. B 84, 104525 (2011)
Eley, S., et al.: Nat. Phys. 8, 59 (2012)
Ricci, A., et al.: Phys. Rev. B 84, 060511 (2011)
Muhlschlegel, B., Scalapino, D.J., Denton, R.: Phys. Rev. B 6, 1767 (1972)
Ambegaokar, V., Baratoff, A.: Phys. Rev. Lett. 10, 486 (1963)
Ribeiro, P., Garcia-Garcia, A.M.: Phys. Rev. Lett. 108, 097004 (2012)
Larkin, A., Varlamov, A.: Theory of Fluctuations in Superconductors. Clarendon, Oxford (2005)
Acknowledgements
We thank Pedro Ribeiro for illuminating discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
García-García, A.M. Thermal Amplitude Fluctuations in Arrays of Small Josephson Junctions. J Supercond Nov Magn 26, 2693–2695 (2013). https://doi.org/10.1007/s10948-013-2162-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-013-2162-z