Abstract
Average quantities can be determined in many-body physics by the virial theorem even in cases when knowledge about the interaction among particles is not complete. Starting from the virial theorem for superconductivity we obtain an expression for the magnetization of two periodic systems, the infinitely extended film of arbitrary thickness under a perpendicular applied field and the bulk superconductor. We show that the kinetic energy of the condensate can be directly retrieved from the magnetization for a large κ type II superconductor or near the upper critical field, in the pinning free (reversible) regime. Isofield kinetic energy lines for low- and high-T c compounds have striking differences near the critical transition that clearly indicate for the latter case the presence of a unique superconducting condensate below and above the mean field critical temperature.
Similar content being viewed by others
References
Corson, J., et al.: Nature (Lond.) 398, 221 (1999)
Deutscher, G., Stantander Syro, A.F., Bomtemps, N.: Phys. Rev. B 72, 092504 (2005)
Doria, M.M., Salem-Sugui, S., de Oliveira, I.G., Ghivelder, L., Brandt, E.H.: Phys. Rev. B 65, 144509 (2002)
Doria, M.M., Gubernatis, J.E., Rainer, D.: Phys. Rev. B 39, 9573 (1989)
Klein, U., Pöttinger, B.: Phys. Rev. B 44, 7704 (1991)
Doria, M.M., de Andrade, S.C.B.: Phys. Rev. B 53, 3440 (1996)
Brandt, E.H.: Phys. Rev. B 71, 014521 (2005)
Doria, M.M., Brandt, E.H., Peeters, F.M.: Phys. Rev. B 78, 054407 (2008)
Salem-Sugui, S. Jr., Doria, M.M., Alvarenga, A.D., Vieira, V.N., Farinas, P.F., Sinnecker, J.P.: Phys. Rev. B 76, 132502 (2007)
Wang, Y., Li, L., Naughton, M.J., Gu, G.D., Uchida, S., Ong, N.P.: Phys. Rev. Lett. 95, 247002 (2005)
Cabo, L., Mosqueira, J., Vidal, F.: Phys. Rev. Lett. 98, 119701 (2007)
Doria, M.M., de Romaguera, A.R.C., Salem-Sugui, S. Jr.: Phys. Rev. B 76, 052504 (2007)
Wang, Y., Li, L., Ong, N.P.: Phys. Rev. B 73, 024510 (2006)
Lee, P.A., Nagaosa, N., Wen, X.-G.: Rev. Mod. Phys. 78, 17 (2006)
Abrikosov, A.: Zh. Éksp. Teor. Fiz. 32, 1442 (1957). Sov. Phys. JETP 5, 1174 (1957)
Doria, M.M., Salem-Sugui, S. Jr.: Phys. Rev. B 78, 134527 (2008)
Soto, F., Carballeira, C., Mosqueira, J., et al.: Phys. Rev. B 70, 060501(R) (2004)
Carballeira, C., Mosqueira, J., Revcolevschi, A., Vidal, F.: Phys. Rev. Lett. 84, 3157 (2000)
Carballeira, C., Mosqueira, J., Revcolevschi, A., Vidal, F.: Physica C 384, 185 (2003)
Rosenstein, B., Shapiro, B.Y., Prozorov, R., Shaulov, A., Yeshurun, Y.: Phys. Rev. B 63, 134501 (2001)
Rotter, L.D., et al.: Phys. Rev. Lett. 67, 2741 (1991)
Ding, H., et al.: Nature (Lond.) 382, 51 (1996)
Timusk, T., Statt, B.: Rep. Prog. Phys. 62, 61 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Doria, M.M. The Kinetic Energy of the Condensate in the Presence of an External Applied. J Supercond Nov Magn 22, 235–238 (2009). https://doi.org/10.1007/s10948-008-0420-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-008-0420-2