Raman Scattering Study on Fully Oxygenated <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>YBa</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mrow><msub><mrow><mi>Cu</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow><mrow><msub><mrow><mi>O</mi></mrow><mrow><mn>7</mn></mrow></msub></mrow></math></span> Single Crystals: <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">x</mi><mi>−</mi><mi mathvariant="italic">y</mi></math></span> Anisotropy in the Superconductivity-Induced Effects

M. F. Limonov; A. I. Rykov; S. Tajima; A. Yamanaka

doi:10.1103/PhysRevLett.80.825

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Raman Scattering Study on Fully Oxygenated ${YBa}_{2} {Cu}_{3} O_{7}$ Single Crystals: $x - y$ Anisotropy in the Superconductivity-Induced Effects

M. F. Limonov^*, A. I. Rykov, and S. Tajima

A. Yamanaka

International Superconductivity Technology Center, 10-13, Superconductivity Research Laboratory, Shinonome 1-Chome, Koto-ku, Tokyo 135, Japan

Research Institute for Electronic Science, Hokkaido University, Sapporo 060, Japan

^*Permanent address: A. F. Ioffe Physical-Technical Institute, 194021 St. Petersburg, Russia.

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Phys. Rev. Lett. 80, 825 – Published 26 January, 1998

DOI: https://doi.org/10.1103/PhysRevLett.80.825

Abstract

The Raman scattering spectra of fully oxygenated twin-free $YBa_{2} Cu_{3} O_{7}$ crystals have been investigated. In addition to the out-of-plane and the in-plane anisotropy in all $A_{g}$ phonon lines in the normal state, pronounced superconductivity-induced $x - y$ anisotropy has been discovered in the softening and broadening of the $340 cm^{- 1}$ line below $T_{c}$ . This suggests a substantial contribution of the chain superconductivity with a pairing symmetry different from that for the plane, or indicates that the superconducting gap amplitudes are different in the $k_{x}$ and $k_{y}$ directions $(Δ_{x} \neq Δ_{y})$ , as expected in the case of $d + s$ wave gap.

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Comment on “Raman Scattering Study on Fully Oxygenated ${YBa}_{2} {Cu}_{3} O_{7}$ Single Crystals: $x - y$ Anisotropy in the Superconductivity-Induced Effects”

T. Strohm, V. I. Belitsky, V. G. Hadjiev, and M. Cardona

Phys. Rev. Lett. 81, 2180 (1998)

Limonov et al. Reply:

M. F. Limonov, A. I. Rykov, S. Tajima, and A. Yamanaka

Phys. Rev. Lett. 81, 2181 (1998)

References (22)

See, for example, S. L. Cooper and M. V. Klein, Comments Condens. Matter Phys. 15, 19 (1990); C. Thomsen, in Light Scattering in Solids VI, M. Cardona and G. Guntherodt (Springer, Berlin, 1991).
D. Einzel and R. Hackl, J. Raman Spectrosc. 27, 307 (1996), and references therein.
T. P. Devereaux et al., Phy. Rev. Lett. 72, 396 (1994); T. P. Devereaux and D. Einzel, Phys. Rev. B 51, 16 336 (1995).
For example, R. M. Hazen, Physical Properties of High Temperature Superconductors II, D. M. Ginsberg (World Scientific, Singapore, 1990), p. 121.
Q. P. Li, B. E. C. Koltenbah, and R. Joynt, Phys. Rev. B 48, 437 (1993); C. O'Donovan and J. P. Carbotte, Phys. Rev. B. 52, 16 208 (1995); J. Low Temp. Phys. 105, 495 (1996); K. Maki and M. T. Beal-Monod, Phys. Lett. A 208, 365 (1995); M. T. Beal-Monod and K. Maki, Physica (Amsterdam) 265C, 309 (1996).
E. T. Heyen et al., Phys. Rev. B 43, 12 958 (1991).
A. I. Rykov, W. J. Jang, H. Unoki, and S. Tajima, in Advances in Superconductivity VIII, H. Hayakawa and Y. Enomoto (Springer-Verlag, Tokyo, 1996), p. 341; A. I. Rykov, E. M. Forgan, and S. Tajima, in Advances in Superconductivity IX (Springer-Verlag, Tokyo, 1997), p. 223.
E. Altendorf et al., Phys. Rev. B 47, 8140 (1993), and references therein.
R. Liu et al., Phys. Rev. B 37, 7971 (1988); A. G. Hadjiev et al., Solid State Commun. 80, 643 (1991).
B. Friedl, C. Thomsen, and M. Cardona, Phys. Rev. Lett. 65, 915 (1990).
E. J. Nicol, C. Jiang, and J. P. Carbotte, Phys. Rev. B 47, 8131 (1993).
T. P. Devereaux, Phys. Rev. B 50, 10 287 (1994); T. P. Devereaux, A. Virosztek, and A. Zawadowski, 51, 505 (1995).
R. Zeyher and G. Zwicknagl, Z. Phys. B. 78, 175 (1990).
X. K. Chen et al., Phys. Rev. B 48, 10 530 (1993).
K. Zhang et al., Phys. Rev. Lett. 73, 2484 (1994); ibid. D. N. Basov et al., ibid. 74, 598 (1995).
Yu. E. Kitaev et al., Phys. Rev. B 49, 9933 (1994); W. Kress et al., 38, 2906 (1988).
For example, S. Massidda, J. Yu, K. T. Park, and A. J. Freeman, Physica (Amsterdam) 176C, 159 (1991).
V. Z. Kresin and S. A. Wolf, Phys. Rev. B 46, 6458 (1992); R. A. Klemm and S. H. Liu, Phys. Rev. Lett. 74, 2343 (1995).
In order to estimate a value of the uncoupled frequency $Ω_{0}$ , one must analyze the observed spectrum in terms of a more complicated Green's function, taking into account the $ω$ dependence of the electron-electron scattering rate $τ (ω)$ and mass $m (ω)$ [[12]]. According to this analysis, $Ω_{0}$ is larger than $Ω$ by about $10 cm^{- 1}$ in the normal state.
S. Tajima et al., Phys. Rev. B 55, 6051 (1997).
C. Kendziora, R. J. Kelly, and M. Onellion, Phys. Rev. Lett. 77, 727 (1996).
M. F. Limonov, A. I. Rykov, S. Tajima, and A. Yamanaka (unpublished).

[c1] See, for example, S. L. Cooper and M. V. Klein, Comments Condens. Matter Phys. 15, 19 (1990); C. Thomsen, in Light Scattering in Solids VI, M. Cardona and G. Guntherodt (Springer, Berlin, 1991).

[c2] D. Einzel and R. Hackl, J. Raman Spectrosc. 27, 307 (1996), and references therein.

[c3] T. P. Devereaux et al., Phy. Rev. Lett. 72, 396 (1994); T. P. Devereaux and D. Einzel, Phys. Rev. B 51, 16 336 (1995).

[c4] For example, R. M. Hazen, Physical Properties of High Temperature Superconductors II, D. M. Ginsberg (World Scientific, Singapore, 1990), p. 121.

[c5] Q. P. Li, B. E. C. Koltenbah, and R. Joynt, Phys. Rev. B 48, 437 (1993); C. O'Donovan and J. P. Carbotte, Phys. Rev. B. 52, 16 208 (1995); J. Low Temp. Phys. 105, 495 (1996); K. Maki and M. T. Beal-Monod, Phys. Lett. A 208, 365 (1995); M. T. Beal-Monod and K. Maki, Physica (Amsterdam) 265C, 309 (1996).

[c6] E. T. Heyen et al., Phys. Rev. B 43, 12 958 (1991).

[c7] A. I. Rykov, W. J. Jang, H. Unoki, and S. Tajima, in Advances in Superconductivity VIII, H. Hayakawa and Y. Enomoto (Springer-Verlag, Tokyo, 1996), p. 341; A. I. Rykov, E. M. Forgan, and S. Tajima, in Advances in Superconductivity IX (Springer-Verlag, Tokyo, 1997), p. 223.

[c8] E. Altendorf et al., Phys. Rev. B 47, 8140 (1993), and references therein.

[c9] R. Liu et al., Phys. Rev. B 37, 7971 (1988); A. G. Hadjiev et al., Solid State Commun. 80, 643 (1991).

[c10] B. Friedl, C. Thomsen, and M. Cardona, Phys. Rev. Lett. 65, 915 (1990).

[c11] E. J. Nicol, C. Jiang, and J. P. Carbotte, Phys. Rev. B 47, 8131 (1993).

[c12] T. P. Devereaux, Phys. Rev. B 50, 10 287 (1994); T. P. Devereaux, A. Virosztek, and A. Zawadowski, 51, 505 (1995).

[c13] R. Zeyher and G. Zwicknagl, Z. Phys. B. 78, 175 (1990).

[c14] X. K. Chen et al., Phys. Rev. B 48, 10 530 (1993).

[c15] K. Zhang et al., Phys. Rev. Lett. 73, 2484 (1994); ibid. D. N. Basov et al., ibid. 74, 598 (1995).

[c16] Yu. E. Kitaev et al., Phys. Rev. B 49, 9933 (1994); W. Kress et al., 38, 2906 (1988).

[c17] For example, S. Massidda, J. Yu, K. T. Park, and A. J. Freeman, Physica (Amsterdam) 176C, 159 (1991).

[c18] V. Z. Kresin and S. A. Wolf, Phys. Rev. B 46, 6458 (1992); R. A. Klemm and S. H. Liu, Phys. Rev. Lett. 74, 2343 (1995).

[c19] In order to estimate a value of the uncoupled frequency $Ω_{0}$ , one must analyze the observed spectrum in terms of a more complicated Green's function, taking into account the $ω$ dependence of the electron-electron scattering rate $τ (ω)$ and mass $m (ω)$ [[12]]. According to this analysis, $Ω_{0}$ is larger than $Ω$ by about $10 cm^{- 1}$ in the normal state.

[c20] S. Tajima et al., Phys. Rev. B 55, 6051 (1997).

[c21] C. Kendziora, R. J. Kelly, and M. Onellion, Phys. Rev. Lett. 77, 727 (1996).

[c22] M. F. Limonov, A. I. Rykov, S. Tajima, and A. Yamanaka (unpublished).

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Raman Scattering Study on Fully Oxygenated ${YBa}_{2} {Cu}_{3} O_{7}$ Single Crystals: $x - y$ Anisotropy in the Superconductivity-Induced Effects

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Raman Scattering Study on Fully Oxygenated ${YBa}_{2} {Cu}_{3} O_{7}$ Single Crystals: $x - y$ Anisotropy in the Superconductivity-Induced Effects

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