Abstract
It is well known that a four-fold symmetry of the parallel upper critical magnetic field disappears in the Ginzburg–Landau (GL) region in quasi-two-dimensional (Q2D) d-wave superconductors. Therefore, it has been accurately calculated so far as a correction to the GL results, which is valid close to superconducting transition temperature and is expected to be stronger at low temperatures. As to the case T = 0, some approximated methods have been used, which are good only for closed electron orbits and inappropriate for the open orbits that exist in a parallel magnetic field in Q2D superconductors. For the first time, we accurately calculate the four-fold anisotropy of the parallel upper critical magnetic field in a pure Q2D d-wave superconductor at T = 0, where it has the highest possible value. Our results are applicable to Q2D d-wave high-Tc and organic superconductors.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. C. Tsuei, J. R. Kirtley, C. C. Chi, Lock See Yu-Jahnes, A. Gupta, T. Shaw, J. Z. Sun, and M. B. Ketchen, Phys. Rev. Lett. 73, 593 (1994).
H. Won and K. Maki, Phys. B (Amsterdam, Neth.) 199–200, 353 (1994).
K. Takanaka and K. Kuboya, Phys. Rev. Lett. 75, 323 (1995).
T. Sugiyama and M. Ichioka, J. Phys. Soc. Jpn. 67, 1738 (1998).
Y. Koyama, T. Sasagawa, Y. Togawa, K. Otzschi, J. Shimoyama, K. Kitazawa, and K. Kishio, J. Low Temp. Phys. 117, 551 (1999).
A. A. Abrikosov, Fundamentals of Theory of Metals (Elsevier Science, Amsterdam, 1988).
G. Wang and K. Maki, Phys. Rev. B 58, 6493 (1998).
F. Weickert, P. Gegenwart, H. Won, D. Parker, and K. Maki, Phys. Rev. B 74, 134511 (2006).
H. A. Viera, N. Oeschler, S. Seiro, H. S. Jeevan, C. Geibel, D. Parker, and F. Steglich, Phys. Rev. Lett. 106, 207001 (2011).
I. A. Luk’yanchuk and V. P. Mineev, Sov. Phys. JETP 66, 1168 (1987).
A. G. Lebed, JETP Lett. 44, 114 (1986).
N. Dupuis, G. Montambaux, and C. A. R. Sa de Melo, Phys. Rev. Lett. 70, 2613 (1993).
A. G. Lebed and K. Yamaji, Phys. Rev. Lett. 80, 2697 (1998).
L. P. Gor’kov, Sov. Phys. JETP 37, 593 (1960).
A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Mechanics (Dover, New York, 1963; Fizmatgiz, Moscow, 1962).
L. P. Gor’kov and A. G. Lebed, J. Phys. (Paris) Lett. 45, L433 (1984).
V. P. Mineev and K. V. Samokhin, Introduction to Unconventional Superconductivity (MFTI, Dolgoprudnyi, 1998; Gordon and Breach Science, Australia, 1999).
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. (Academic, London, UK, 2000).
L. P. Gor’kov and T. K. Melik-Barkhudarov, Sov. Phys. JETP 18, 1031 (1964).
A. G. Lebed, JETP Lett. 110, 173 (2019).
L. N. Bulaevskii and A. A. Guseinov, JETP Lett. 19, 382 (1974).
R. A. Klemm, A. Luther, and M. R. Beasley, Phys. Rev. B 12, 877 (1975).
The Physics of Organic Superconductors and Conductors, Ed. by A. G. Lebed (Springer, Berlin, 2008).
Acknowledgments
We are grateful to N.N. Bagmet (Lebed) for useful discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lebed, A.G., Sepper, O. Four-Fold Anisotropy of the Parallel Upper Critical Magnetic Field in a Pure Layered d-Wave Superconductor at T = 0. Jetp Lett. 111, 239–244 (2020). https://doi.org/10.1134/S0021364020040037
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364020040037