Upper Critical Field in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math></span>-Wave Superconductors with Broken Symmetry

Kurt Scharnberg; Richard A. Klemm

doi:10.1103/PhysRevLett.54.2445

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Upper Critical Field in $p$ -Wave Superconductors with Broken Symmetry

Kurt Scharnberg

Richard A. Klemm

Abteilung für Theoretische Festkörperphysik der Universität Hamburg, D-2000 Hamburg 36, West Germany

Corporate Research Science Laboratories, Exxon Research and Engineering Company, Annandale, New Jersey 08801

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Phys. Rev. Lett. 54, 2445 – Published 3 June, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2445

Abstract

A uniaxially anisotropic $p$ -wave interaction is shown to lead to either a polar or an axial state. We calculate the anisotropy of $H_{c 2} (T)$ with the assumption that $E_{F} ≫ k_{B} T_{c}$ . Weak-interaction anisotropy leads to a kink in $H_{c 2, ⊥} (T)$ . Otherwise, our results are qualitatively similar to those for an anisotropic $s$ -wave material. Our results indicate that the anisotropy of the $H_{c 2} (T)$ data obtained for U ${Pt}_{3}$ cannot be explained as intrinsic for a $p$ -wave superconductor unless $E_{F} ≅ k_{B} T_{c}$ .

References (15)

G. R. Stewart, Z. Fisk, J. O. Willis, and J. L. Smith, Phys. Rev. Lett. 52, 679 (1984) H. R. Ott, H. Rudigier, T. M. Rice, K. Ueda, Z. Fisk, and J. L. Smith, 52, 1915 (1984)
D. J. Bishop, C. M. Varma, B. Batlogg, E. Bucher, Z. Fisk, and J. L. Smith, Phys. Rev. Lett. 53, 1009 (1984)
D. E. MacLaughlin, C. Tien, W. G. Clark, M. D. Lan, Z. Fisk, J. L. Smith, and H. R. Ott, Phys. Rev. Lett. 53, 1833 (1984) ibid.54, 608 (1975)
P. W. Anderson, Phys. Rev. B 30, 1549, 4000 (1984)
O. T. Valls and Z. Tesanovic, Phys. Rev. Lett. 53, 1497 (1984)
E. Blount, to be published G. E. Volovik and L. P. Gor'kov, Pis'ma Zh. Eksp. Teor. Fiz. 39, 550 (1984) [JETP Lett. 59, 674 (1984)] G. E. VolovikL. P. Gor'kovto be published
J. W. Chen, S. E. Lambert, M. B. Maple, Z. Fisk, J. L. Smith, G. R. Stewart, and J. O. Willis, Phys. Rev. B 30, 1583 (1984)
C. M. Varma, Bull. Am. Phys. Soc. 29, 404 (1984) unpublished
K. Scharnberg and R. A. Klemm, Phys. Rev. B 22, 5233 (1980) ibid.24, 6361 (1981)
E. Aeppli, E. Bucher, and G. Shirane, to be published
M. B. Maple, J. W. Chen, S. E. Lambert, Z. Fisk, J. L. Smith, H. R. Ott, J. S. Brooks, and M. J. Naughton, Phys. Rev. Lett. 54, 477 (1985)
E. W. Fenton, to be published
N. R. Werthamer, E. Helfand, and P. C. Hohenberg, Phys. Rev. 147, 295 (1966) G. Eilenberger, 153, 584 (1967)
Omitted endnote
A. de Visser, J. J. M. Franse, and A. Menovsky, J. Magn. Magn. Mater. 43, 43 (1984)

[c1] G. R. Stewart, Z. Fisk, J. O. Willis, and J. L. Smith, Phys. Rev. Lett. 52, 679 (1984) H. R. Ott, H. Rudigier, T. M. Rice, K. Ueda, Z. Fisk, and J. L. Smith, 52, 1915 (1984)

[c2] D. J. Bishop, C. M. Varma, B. Batlogg, E. Bucher, Z. Fisk, and J. L. Smith, Phys. Rev. Lett. 53, 1009 (1984)

[c3] D. E. MacLaughlin, C. Tien, W. G. Clark, M. D. Lan, Z. Fisk, J. L. Smith, and H. R. Ott, Phys. Rev. Lett. 53, 1833 (1984) ibid.54, 608 (1975)

[c4] P. W. Anderson, Phys. Rev. B 30, 1549, 4000 (1984)

[c5] O. T. Valls and Z. Tesanovic, Phys. Rev. Lett. 53, 1497 (1984)

[c6] E. Blount, to be published G. E. Volovik and L. P. Gor'kov, Pis'ma Zh. Eksp. Teor. Fiz. 39, 550 (1984) [JETP Lett. 59, 674 (1984)] G. E. VolovikL. P. Gor'kovto be published

[c7] J. W. Chen, S. E. Lambert, M. B. Maple, Z. Fisk, J. L. Smith, G. R. Stewart, and J. O. Willis, Phys. Rev. B 30, 1583 (1984)

[c8] C. M. Varma, Bull. Am. Phys. Soc. 29, 404 (1984) unpublished

[c9] K. Scharnberg and R. A. Klemm, Phys. Rev. B 22, 5233 (1980) ibid.24, 6361 (1981)

[c10] E. Aeppli, E. Bucher, and G. Shirane, to be published

[c11] M. B. Maple, J. W. Chen, S. E. Lambert, Z. Fisk, J. L. Smith, H. R. Ott, J. S. Brooks, and M. J. Naughton, Phys. Rev. Lett. 54, 477 (1985)

[c12] E. W. Fenton, to be published

[c13] N. R. Werthamer, E. Helfand, and P. C. Hohenberg, Phys. Rev. 147, 295 (1966) G. Eilenberger, 153, 584 (1967)

[c14] Omitted endnote

[c15] A. de Visser, J. J. M. Franse, and A. Menovsky, J. Magn. Magn. Mater. 43, 43 (1984)

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Upper Critical Field in $p$ -Wave Superconductors with Broken Symmetry

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Upper Critical Field in p-Wave Superconductors with Broken Symmetry

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References (15)

Upper Critical Field in $p$ -Wave Superconductors with Broken Symmetry