Abstract
One of the quasi-one-dimensional organic superconductors \((\hbox {TMTSF})_2X\), called Bechgaard salts, has attracted a lot of interest since its discovery in 1980. These compounds have high critical magnetic field \(H_{\mathrm {c}2}\) in the direction parallel to the layers, and their pairing symmetries seem to be different between low-field phase and high-field phase. In addition, recently, the possibility of the realization of odd-frequency superconductivity was pointed out. Therefore, we study pairing symmetries of Bechgaard salts under magnetic field with frequency-dependent pairing interaction due to spin and charge fluctuation. The model is given by the extended Hubbard model on a quasi-one-dimensional square lattice, and the spin susceptibility and charge susceptibility for the effective pairing interactions are derived by random-phase approximation under magnetic field. The odd-frequency s-wave and even-frequency f-wave regions expand as the magnetic field is increased.
Similar content being viewed by others
References
C. Bourbonnais, D. Jérome, in Advances in synthetic metals, twenty years of progress in science and technology, ed. by P. Bernier, S. Lefrant, G. Bidan (Elsevier, Lausanne, 1999), pp. 206–261. (chap. 3)
D. Jérome, A. Mazaud, M. Ribault, K. Bechgaard, J. Phys. Lett. 41(4), 95 (1980)
I.J. Lee, S.E. Brown, W.G. Clark, M.J. Strouse, M.J. Naughton, W. Kang, P.M. Chaikin, Phys. Rev. Lett. 88(1), 017004 (2001)
J. Shinagawa, Y. Kurosaki, F. Zhang, C. Parker, S.E. Brown, D. Jérome, J.B. Christensen, K. Bechgaard, Phys. Rev. Lett. 98(14), 147002 (2007)
F.L. Pratt, T. Lancaster, S.J. Blundell, C. Baines, Phys. Rev. Lett. 110(10), 107005 (2013)
V.L. Berezinskii, JETP Lett. 20(9), 287 (1974)
K. Shigeta, S. Onari, Y. Tanaka, J. Phys. Soc. Jpn. 82(10), 104702 (2013)
H. Aizawa, K. Kuroki, T. Yokoyama, Y. Tanaka, Phys. Rev. Lett. 102(1), 016403 (2009)
M. Matsumoto, M. Koga, H. Kusunose, J. Phys. Soc. Jpn. 81(3), 033702 (2012)
K. Fukui, Y. Kato, J. Phys. Soc. Jpn. 87(1), 014706 (2018)
H. Aizawa, K. Kuroki, Phys. Rev. B 97(10), 104507 (2018)
Acknowledgements
Kiyu Fukui was also supported by the JSPS through the Program for Leading Graduate Schools (MERIT).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fukui, K., Kato, Y. Even- and Odd-Frequency Superconductivity in Q1D Organic Superconductors Under Magnetic Field. J Low Temp Phys 196, 234–241 (2019). https://doi.org/10.1007/s10909-018-02142-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-018-02142-x