Abstract
The electron-phonon and spin-phonon coupling in typical high- T C cuprates are peaked for just a few q-vectors because of the two-dimensional Fermi surface shape. Few spin-phonon excitations compensate for the low electronic density-of-states, and the superconducting T C can be high. Thermal disorder of the lattice makes incoherent potential fluctuations which perturbs the strongly coupled waves. This effect puts a limit on long-range superconductivity, while fluctuations can persist on a shorter length scale at higher temperatures. BCS-type model calculations are used to show how disorder can reduce the superconducting gap and T C. Ordering of dopants into stripes can improve superconducting properties, mainly through an increased DOS, and make T C more resistant to thermal disorder at low doping.
Similar content being viewed by others
References
McMillan, W.L.: Phys. Rev. 167, 331 (1968)
Kohn, W., Sham, L.J.: Phys. Rev. 140, A1133 (1965)
Dacorogna, M., Jarlborg, T., Junod, A., Pelizzone, M., Peter, M.: J. Low Temp. Phys. 57, 629 (1984)
Gaspari, G.D., Gyorffy, B.L.: Phys. Rev. Lett. 28, 801 (1972)
Jarlborg, T.: Phys. Rev. B 76, 140504(R) (2007)
Jarlborg, T.: Physica C 454, 5 (2007)
Jarlborg, T.: Physica C 385, 513 (2003)
Jarlborg, T.: Phys. Lett. A 300, 518 (2002)
Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev. 108, 1175 (1957)
Jarlborg, T.: Solid State Commun. 151, 639 (2011)
Jarlborg, T.: Solid State Commun. 181, 15 (2014)
Santi, G., Jarlborg, T., Peter, M., Weger, M.: Physica C 259, 253 (1996). doi:10.1016/0921-4534(96)00052-4
Moroni, E.G., Jarlborg, T.: Phys. Rev. B 41, 9600 (1990)
Peng, Y.Y., Hashimoto, M., Moretti Sala, M., Amorese, A., Brookes, N.B., Dellea, G., Lee, W.-S., Minola, M., Schmitt, T., Yoshida, Y., Zhou, K.-J., Eisaki, H., Devereaux, T.P., Shen, Z.-X., Braicovich, L., Ghiringhelli, G.: arXiv:1504.05165v1 (2015)
Jarlborg, T.: J. Supercond. Novel Magn. 28, 1231 (2015). doi:10.1007/s10948-014-2897-1
Jarlborg, T.: Phys. Rev. B 59, 15002 (1999)
Jarlborg, T.: Phys. Rev. Lett. 77, 3693 (1996)
Jarlborg, T.: Phys. Lett. A 236, 143 (1997)
Pedrazzini, P., Wilhelm, H., Jaccard, D., Jarlborg, T., Schmidt, M., Hanfland, M., Akselrud, L., Yuan, H.Q., Schwarz, U., Grin, Yu., Steglich, F.: Phys. Rev. Lett. 98, 047204 (2007)
Delaire, O., Marty, K., Stone, M.B., Kent, P.R., Lucas, M.S., Abernathy, D.L., Mandrus, D., Sales, B.C.: PNAS 108, 4725 (2011)
Jarlborg, T., Santi, G.: Physica C 329, 243 (2000)
Jarlborg, T.: Phys. Rev. B 89, 184426 (2014)
Hedin, L., Rosengren, A.: J. Phys. F: Metal Phys. 7, 1339 (1977)
McKenzie, R.H., Wilkins, J.W.: Phys. Rev. Lett. 69, 1085 (1992)
Jarlborg, T.: Phys. Rev. B 76, 205105 (2007)
Jarlborg, T., Chudzinski, P., Giamarchi, T.: Phys. Rev. B 85, 235108 (2012)
Dugdale, S.B., Jarlborg, T.: Solid State Commun. 105, 283 (1998)
Jarlborg, T., Bianconi, A.: Phys. Rev. B 87, 054514 (2013). doi:10.1103/PhysRevB.87.054514
Poccia, N., Fratini, M., Ricci, A., Campi, G., Barba, L., Vittorini-Orgeas, A., Bianconi, G., Aeppli, G., Bianconi, A.: Nat. Mater. 10, 733 (2011)
Chmaissem, O., Grigoraviciute, I., Yamauchi, H., Karppinen, M., Marezio, M.: Phys. Rev. B 82, 104570 (2010)
Jarlborg, T.: Appl. Phys. Lett. 94, 212503 (2009)
Jarlborg, T., Bianconi, A.: (unpublished) (2015)
Andersen, O.K.: Phys. Rev. B 12, 3060 (1975)
Barbiellini, B., Dugdale, S.B., Jarlborg, T.: Comput. Mater. Sci. 28, 287 (2003)
Gunnarsson, O., Lundquist, B.I.: Phys. Rev. B 13, 4274 (1976)
Jarlborg, T.: J. Phys. Condens. Matter. 16, L173 (2004)
Jarlborg, T.: Phys. Rev. B 79, 094530 (2009)
Jarlborg, T.: Phys. Rev. B 84, 064506 (2011)
Liu, Q.Q., Yang, H., Qin, X.M., Yu, Y., Yang, L.X., Li, F.Y., Yu, R.C., Jin, C.Q.: Phys. Rev. B 74, 100506 (2006)
Gao, W.B., Liu, Q.Q., Yang, L.X., Yu, Y., Li, F.Y., Jin, C.Q., Uchida, S.: Phys. Rev. B 80, 094523 (2009)
Geballe, T.H., Marezio, M.: Physica C 469, 680 (2009)
Jarlborg, T., Barbiellini, B., Markiewicz, R.S., Bansil, A.: Phys. Rev. B 86, 235111 (2012). doi:10.1103/PhysRevB.86.235111
Jarlborg, T., Bianconi, A., Barbiellini, B., Markiewicz, R.S., Bansil, A.: J. Supercond. Nov. Magn. 26, 2597 (2013). doi:10.1007/s10948-013-2142-3
Häfliger, P.S., Gerber, S., Pramod, R., Schnells, V.I., dalla Piazza, B., Chati, R., Pomjakushin, V., Conder, K., Pomjakushina, E., Le Dreau, L., Christensen, N.B., Syljuåsen, O.F., Normand, B., Rønnow, H.M.: Phys. Rev. B 89, 085113 (2014)
Kondo, T., Malaeb, W., Ishida, Y., Sasagawa, T., Tohyama, T., Shin, S.: arXiv:1404.0911 (2014)
Baer, Y., Citrin, P.H., Wertheim, G.K.: Phys. Rev. Lett. 37, 49 (1976)
Grimvall, G.: Thermophysical Properties of Materials. North-Holland, Amsterdam (1986)
Jarlborg, T., Moroni, E.G., Grimvall, G.: Phys. Rev. B 55, 1288 (1997)
Fischer, Ø., Kugler, M., Maggio-Aprile, I., Berthod, C., Renner, C.: Rev. Mod. Phys. 79, 353 (2007). (and refs. given therein)
Schilling, J.S.: arXiv:cond-matt/0604090 (2006)
Acknowledgments
I am grateful to A. Bianconi and C. Berthod for useful discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jarlborg, T. Electronic Structure, Doping, Order and Disorder in Cuprate Superconductors. J Supercond Nov Magn 29, 637–642 (2016). https://doi.org/10.1007/s10948-015-3289-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-015-3289-x