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Joshua L. Cohn; Stuart A. Wolf; Terrell A. Vanderah

doi:10.1103/PhysRevB.45.511

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Evidence for strong electron-phonon coupling in the thermal conductivity of ${YBa}_{2}$ ${Cu}_{3}$ $O_{7 - δ}$

Joshua L. Cohn and Stuart A. Wolf

Terrell A. Vanderah

Naval Research Laboratory, Washington, D.C. 20375

Naval Weapons Center, China Lake, California 90124

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Phys. Rev. B 45, 511(R) – Published 1 January, 1992

DOI: https://doi.org/10.1103/PhysRevB.45.511

Abstract

We have measured the ab-plane thermal conductivity (κ) on single-crystal ${YBa}_{2}$ ${Cu}_{3}$ $O_{7 - δ}$ (δ≊0.08) in the temperature range 10≤T≤300 K. Our main focus is an analysis of the slope change in κ(T), which occurs just below the superconducting transition. The reduced-temperature (t=T/ $T_{c}$ ) derivative of the normalized thermal conductivity, d( $κ^{s}$ / $κ^{n}$ )/dt $‖_{t = 1}$ , as determined from the data, is rather small, ≤1.1. From measurements of the electrical conductivity on the same specimens and application of the Wiedemann-Franz Law, we determine the relative contributions to the heat conduction from the carriers and the lattice, and discuss the normal-state phonon-scattering mechanisms. Employing these results we calculate the slope of the lattice thermal conductivity at $T_{c}$ and infer that the slope of the carrier conductivity must be very large, ≤6. This result implies strong coupling for some of the carriers.

References (26)

For a recent review of thermal conductivity in the cuprates, see C. Uher, J. Supercond. 3, 337 (1990).
T. A. Vanderah et al., J. Cryst. Growth (to be published).
J. L. Cohn et al., Electronic Structure and Mechanisms for High Temperature Superconductivity, edited by J. Ashkenazi (Plenum, New York, 1991).
M. S. Osofsky et al., Phys. Rev. B (to be published).
S. J. Hagen, Z. Z. Wang and N. P. Ong, Phys. Rev. B 40, 9389 (1989); S. D. Peacor, J. L. Cohn and C. Uher, 43, 8721 (1991).
J. L. Cohn, E. F. Skelton, and J. Z. Liu (unpublished).
See, e.g., R. Berman, Thermal Conduction in Solids (Oxford Univ. Press, Oxford, 1976).
A monotonic behavior of $κ^{n}$ for T <= $T_{c}$ is confirmed by the work of T.T.M. Palstra et al. [Phys. Rev. Lett. 64, 3090 (1990)] where the thermal conductivity of a YBa ${}_{2}{Cu}_{3}$ $O_{7 - δ}$ single crystal was measured in a field of 10 T, sufficient to suppress $T_{c}$ by about 5 K.
B. T. Geilikman, Zh. Eksp. Teor. Fiz. 34, 1042 (1958) [Sov. Phys. JETP 7, 721 (1958)]; see also B. T. Geilikman and V. Z. Kresin, Kinetic and Non-Steady-State Effects in Superconductors (Wiley, New York, 1974).
J. Bardeen, G. Rickayzen and L. Tewordt, Phys. Rev. 113, 982 (1959).
L. Tewordt, Phys. Rev. 129, 12 (1963); ibid. 129, 657 (1963).
See Geilikman and Kresin, Ref. 9.
B. J. Mrstik and D. M. Ginsberg, Phys. Rev. B 5, 1817 (1972).
V. Ambegaokar and L. Tewordt, Phys. Rev. 134, A805 (1964); V. Ambegaokar and J. Woo, ibid. 139, A1818 (1965).
S. B. Kaplan et al., Phys. Rev. B 14, 4854 (1976).
J. H. P. Watson and G. M. Graham, Can. J. Phys. 41, 1738 (1964).
L. Tewordt and Th. Wölkhausen, Solid State Commun. 70, 839 (1989).
L. Tewordt and Th. Wölkhausen, Solid State Commun. 75, 515 (1990).
S. D. Peacor et al., Phys. Rev. B 44, 9508 (1991).
It is implicitly assumed in the use of this integral equation that the relaxation-time approximation is valid. This means that normal phonon-phonon collisions are neglected, a good approximation in crystals that are not too perfect (see, e.g., Ref. 7, Chap. 8).
See, e.g., P. B. Allen, Z. Fisk, and A. Migliori, in Physical Properties of High Temperature Superconductors, edited by D. M. Ginsberg (World Scientific, Teaneck, NJ, 1989), Vol. I, p. 213.
See, e.g., A. Junod, in Physical Properties of High Temperature Superconductors, edited by D. M. Ginsberg (World Scientific, Teaneck, NJ, 1990), Vol. II, p. 13.
V. Z. Kresin and S. A. Wolf, Physica C 169, 476 (1990).
See, e.g., C. Thomsen and M. Cardona, in Physical Properties of High Temperature Superconductors (Ref. 21), p. 409.
S. I. Vedeneev et al.(unpublished).
R. C. Dynes (unpublished).

[c1] For a recent review of thermal conductivity in the cuprates, see C. Uher, J. Supercond. 3, 337 (1990).

[c2] T. A. Vanderah et al., J. Cryst. Growth (to be published).

[c3] J. L. Cohn et al., Electronic Structure and Mechanisms for High Temperature Superconductivity, edited by J. Ashkenazi (Plenum, New York, 1991).

[c4] M. S. Osofsky et al., Phys. Rev. B (to be published).

[c5] S. J. Hagen, Z. Z. Wang and N. P. Ong, Phys. Rev. B 40, 9389 (1989); S. D. Peacor, J. L. Cohn and C. Uher, 43, 8721 (1991).

[c6] J. L. Cohn, E. F. Skelton, and J. Z. Liu (unpublished).

[c7] See, e.g., R. Berman, Thermal Conduction in Solids (Oxford Univ. Press, Oxford, 1976).

[c8] A monotonic behavior of $κ^{n}$ for T <= $T_{c}$ is confirmed by the work of T.T.M. Palstra et al. [Phys. Rev. Lett. 64, 3090 (1990)] where the thermal conductivity of a YBa ${}_{2}{Cu}_{3}$ $O_{7 - δ}$ single crystal was measured in a field of 10 T, sufficient to suppress $T_{c}$ by about 5 K.

[c9] B. T. Geilikman, Zh. Eksp. Teor. Fiz. 34, 1042 (1958) [Sov. Phys. JETP 7, 721 (1958)]; see also B. T. Geilikman and V. Z. Kresin, Kinetic and Non-Steady-State Effects in Superconductors (Wiley, New York, 1974).

[c10] J. Bardeen, G. Rickayzen and L. Tewordt, Phys. Rev. 113, 982 (1959).

[c11] L. Tewordt, Phys. Rev. 129, 12 (1963); ibid. 129, 657 (1963).

[c12] See Geilikman and Kresin, Ref. 9.

[c13] B. J. Mrstik and D. M. Ginsberg, Phys. Rev. B 5, 1817 (1972).

[c14] V. Ambegaokar and L. Tewordt, Phys. Rev. 134, A805 (1964); V. Ambegaokar and J. Woo, ibid. 139, A1818 (1965).

[c15] S. B. Kaplan et al., Phys. Rev. B 14, 4854 (1976).

[c16] J. H. P. Watson and G. M. Graham, Can. J. Phys. 41, 1738 (1964).

[c17] L. Tewordt and Th. Wölkhausen, Solid State Commun. 70, 839 (1989).

[c18] L. Tewordt and Th. Wölkhausen, Solid State Commun. 75, 515 (1990).

[c19] S. D. Peacor et al., Phys. Rev. B 44, 9508 (1991).

[c20] It is implicitly assumed in the use of this integral equation that the relaxation-time approximation is valid. This means that normal phonon-phonon collisions are neglected, a good approximation in crystals that are not too perfect (see, e.g., Ref. 7, Chap. 8).

[c21] See, e.g., P. B. Allen, Z. Fisk, and A. Migliori, in Physical Properties of High Temperature Superconductors, edited by D. M. Ginsberg (World Scientific, Teaneck, NJ, 1989), Vol. I, p. 213.

[c22] See, e.g., A. Junod, in Physical Properties of High Temperature Superconductors, edited by D. M. Ginsberg (World Scientific, Teaneck, NJ, 1990), Vol. II, p. 13.

[c23] V. Z. Kresin and S. A. Wolf, Physica C 169, 476 (1990).

[c24] See, e.g., C. Thomsen and M. Cardona, in Physical Properties of High Temperature Superconductors (Ref. 21), p. 409.

[c25] S. I. Vedeneev et al.(unpublished).

[c26] R. C. Dynes (unpublished).

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Evidence for strong electron-phonon coupling in the thermal conductivity of ${YBa}_{2}$ ${Cu}_{3}$ $O_{7 - δ}$

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Evidence for strong electron-phonon coupling in the thermal conductivity of YBa2Cu3O7−δ

Abstract

References (26)

Evidence for strong electron-phonon coupling in the thermal conductivity of ${YBa}_{2}$ ${Cu}_{3}$ $O_{7 - δ}$