Abstract
The present study tries to investigate Wiedemann-Franz law near and far from the critical temperatures, given the tunneling between the grains in Cooper pair fluctuation propagator and impurity vertex. By means of Dyson’s equation, the Cooper pair fluctuation propagator, L(q kΩ μ ) and the Cooperon (impurity vertex), λ(q, k, ε 1, ε 2), are initially calculated in the presence of tunneling between the grains. Then, the three distinct contributions of density of states, Maki-Thompson, and Aslamazov-Larkin, are calculated in the frameworks of the Green’s functions formalism and the Kubo formula technique. The evaluation is conducted under the limited tunneling conductance between the grains. Findings show that although the tunneling is efficient near the critical temperature, it is not effective when it is far from the critical temperature Compared to that in high temperatures, moreover, the deviation from the Wiedemann-Franz law is much more evident in low temperatures.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ebner, C., Stroud, D.: Phys. Rev. B 31(1985), 165 (1985)
Choi, J., Jose, J.V.: Phys. Rev. Let. 62, 320 (1989)
Beloborodov, I.S., Efetov, K.B.: Ann. Phys. (Leipzig) 8 7-9, 775–784 (1999)
Ussishkin, I.: Rev. B 68, 0245517 (2003)
Simon, R.W., Dalrymple, B.J., Van Vechten, D., Fuller, W.W., Wolf, S.A.: (1962)
Ekinic, K.L., Valles, J.M., Jr.: Phys. Rev. Lett. 82, 1518 (1999)
Biagini, C., Ferone, R., Hekking, F.W.J., Tognetti, V.: Phys. Rev. B 72, 134510 (2005)
Skrzynski, B.S., Beloborodov, I.S., Efetov, K.B.: Phsy. Rev. B 65, 094516 (2002)
Gerber, A., Milner, A., Deutscher, G., Karpovsky, M., Gadkikh, A.: Phys. Rev. Let. 78, 4277 (1997)
Larkin, A., Varlamov, A.: Theory of fluctuations in superconductors. Clarendon Press, Oxford (2004)
Belobrodov, I.S., Efetov, K.B., Larkin, A.I.: Phys, Rev. B 61, 9145 (2000)
Mahan, G.D.: Many-particle physics, 2nd edn. Plenum Press, NY (1990)
Anderson, P.W.: Lectures on the many-body problems, vol. 2. Academic, New York (1964)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Salehi, H., Yousefvand, A. & Shoushtari, M.Z. A Study on the Wiedemann-Franz Law in a Granular s-Wave Superconductor, Given the Tunneling Between the Grains in Cooper Pair Fluctuation Propagator and Impurity Vertex. J Supercond Nov Magn 31, 1329–1339 (2018). https://doi.org/10.1007/s10948-017-4349-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-017-4349-1