Abstract
The temperature dependence of the resistivity of the cuprate superconductors arising from phonon scattering is considered within standard Bloch-Gruneisen theory allowing for several different shapes of transport spectral functionsα 2tr F(ω). In contrast to often made comments that linear resistivity is not characteristic of electron-phonon scattering, it is shown rather that it is more difficult to get muchnonlinearity from this theory except below 50–100 K, and in this low-T regime better solutions to the Boltzmann equation might be required. The reasons for the linear behavior are clarified, and the variations to be expected from possible coupling functions are explored. Possible origins of the nonlinear resistivity seen in YBa2Cu4O8 and recently in YBa2Cu3O7 are suggested, and effects not included specifically in these calculations are discussed. It is also pointed out that phonon contributions to the energy (ε) dependence of quasiparticles, which is a closely related consequence of electron-phonon coupling, will differ significantly from the simpleε 2 Fermi liquid behavior that is commonly assumed.
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References
P. B. Allen, inHigh-Temperature Superconductivity, J. W. Lynn, ed. (Springer-Verlag, New York, 1990).
S. Martin, A. T. Fiory, R. M. Fleming, L. F. Schneemeyer, and J. V. Waszczak,Phys. Rev. B 41, 846 (1990).
J. M. Ziman,Electrons and Phonons (Clarendon Press, Oxford, 1962), Chapters VII and IX.
P. B. Allen, W. E. Pickett, and H. Krakauer,Phys. Rev. B 37, 7482 (1988).
S. Martin, M. Gurvitch, C. E. Rice, A. F. Hebard, P. L. Gammel, R. M. Fleming, and A. T. Fiory,Phys. Rev. B 39, 9611 (1989). Y124 nonlinear.
J. Schoenes, J. Karpinski, E. Kaldis, J. Keller, and P. de la Mora,Physica C 166, 145 (1990). Y124 nonlinear.
T. A. Friedmann, M. W. Rabin, J. Giapintzakis, J. P. Rice, and D. M. Ginsberg,Phys. Rev. B 42, 6217 (1990).
U. Poppe, N. Klein, U. Daehne, H. Soltner, C. L. Jia, B. Kabius, K. Urban, A. Lubig, K. Schmidt, S. Hensen, S. Orbach, G. Mueller, and H. Piel, “Low-resistivity epitaxial YBa2Cu3O7 thin films with improved microstructure and reduced microwave losses,” preprint (1991).
J. C. Campuzanoet al., Phys. Rev. Lett. 64, 2308 (1990).
H. Haghighiet al., inProc. Miami Workshop on Electronic Structure and Mechanisms for High-Temperature Superconductivity, J. Ashkenazi, S. E. Barnes, F. Zuo, G. C. Vezzoli, and B. M. Klein, eds. (Plenum, New York, 1991); L. C. Smedskjaer, A. Bansil, U. Welp, Y. Fang, and K. G. Bailey, inProc. Workshop on Fermiology of High-T c Superconductors. Argonne National Laboratory, Illinois (1991).
C. M. Fowler, B. L. Freeman, W. L. Hults, J. C. King, F. M. Mueller, and J. L. Smith, submitted toPhys. Rev. Lett.
C. Thomsen and M. Cardona, inPhysical Properties of High-Temperature Superconductors I, D. M. Ginsberg, ed. (World Scientific, Singapore, 1989), p. 409.
B. Friedl, C. Thomsen, and M. Cardona,Phys. Rev. Lett. 65, 915 (1990).
R. E. Cohen, W. E. Pickett, and H. Krakauer,Phys. Rev. Lett. 64, 2575 (1990).
R. Zeyher,Z. Phys. B (1990).
S. Massidda, J. Yu, K. T. Park, and A. J. Freeman,Physica C 176, 159 (1991).
P. B. Allen,Phys. Rev. B 13, 1416 (1976).
P. B. Allen,Phys. Rev. B 17, 3725 (1978).
P. B. Allen,Phys. Rev. B 3, 305 (1971).
B. Chakraborty, W. E. Pickett, and P. B. Allen,Phys. Rev. B 14, 3227 (1976).
W. Reichardtet al., Physica C 162–164, 1701 (1989); W. Reichardtet al., inProc. Intl. Conf. on Manifestations of Electron-Phonon Interaction in Cu-O Superconductors, R. Baquero and J. P. Carbotte, eds. (World Scientific, Singapore, 1991).
C. O. Rodriguez, A. I. Liechtenstein, I. I. Mazin, O. Jespen, and O. K. Andersen,Phys. Rev. B 42, 2692 (1990).
J. R. Hardy and J. W. Flocken,Phys. Rev. Lett. 60, 2191 (1988);Phase Transitions 22, 121 (1990).
B. Sundqvist and B. M. Andersson,Solid State Commun. 76, 1019 (1990).
R. E. Cohen, W. E. Pickett, and H. Krakauer,Phys. Rev. Lett. 62, 831 (1989).
W. E. Pickett, R. E. Cohen, and H. Krakauer,Phys. Rev. Lett. 67, 228 (1991).
M. Francois, A. Junod, K. Yvon, A. W. Hewat, J. J. Capponi, P. Stroeble, M. Marezio, and P. Fischer,Solid State Commun. 66, 1117 (1988).
B. H. Toby, T. Egami, J. D. Jorgensen, and M. A. Subramanian,Phys. Rev. Lett. 64, 2414 (1990); S. L. J. Billinge, P. K. Davies, T. Egami, and C. R. A. Catlow,Phys. Rev. B 43, 10340 (1991).
S. L. Drechsler, G. M. Vujicic, and N. M. Plakida,J. Phys. F 14, L243 (1984).
V. H. Crespi, M. L. Cohen, and D. R. Penn,Phys. Rev. B 43, 12921 (1991).
T. Galbaatar, S. L. Drechsler, N. M. Plakida, and G.M. Vujicic,Physica C 176, 496 (1991).
W. E. Pickett,Rev. Mod. Phys. 61, 433 (1989).
W. E. Pickett, H. Krakauer, and R. E. Cohen,Physica B 165–166, 1055 (1990).
P. Bourgeset al., Phys. Rev. B 43, 8690 (1991); J. Rossat-Mignodet al., Physica B 169, 58 (1991).
C. G. Olsonet al., Phys. Rev. B 42, 381 (1990).
F. M. Mueller, G. B. Arnold, and J. C. Swihart, inProc. Miami Workshop on Electronic Structure and Mechanisms for High-Temperature Superconductivity, J. Ashkenazi, S. E. Barnes, F. Zuo, G. C. Vezzoli, and B. M. Klein, eds. (Plenum, New York, 1991).
I. I. Mazin and O. V. Dolgov, preprint.
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Pickett, W.E. Temperature-dependent resistivity from phonons in cuprate superconductors. J Supercond 4, 397–407 (1991). https://doi.org/10.1007/BF00635855
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DOI: https://doi.org/10.1007/BF00635855