Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Effect of time reversal symmetry on the current-phase relation in Josephson junctions including two-gap superconductors

Document Type : Original Article

Authors
Masoumeh Avarideh
Reza Afzali
Department of Physics, K. N. Toosi University of Technology, Tehran 15875-4416, Iran
10.30511/ttmp.2025.2059119.1053
Abstract
From a general viewpoint, the Josephson Effect is a quantum phenomenon that the tunnelling of Cooper electron pairs can describe. This junction involves two or more superconductors separated by a thin layer of non-superconducting material. A supercurrent can flow without dissipation through this junction without applying voltage. The dependence of the Josephson current on the phase difference between the two superconductors is of significant importance and is investigated in this study. This research considers a Josephson junction consisting of two gap superconductors separated by a thin insulator.
Additionally, we consider a spin-singlet s-wave pair potential in each conduction band. We study the effect of time-reversal symmetry on the phase difference and, consequently, on the Josephson current in two cases. The first case is when only one of the superconductors has time-reversal symmetry, and the second is when neither superconductor has time-reversal symmetry. These states are compared with the condition where both superconductors have time-reversal symmetry.
Keywords
Josephson effect
CPR
two-band superconductors
Subjects
1. B. D. Josephson, Physics Letters, 1, 1962#

2. F. Tafuri, Springer Nature, (2019)#

3. S. Shapiro, Phys. Rev. Lett., 11, (1963)#

4. B. J. Benz,S. Benz, Eur. Phys. J., (172), (2009)#

5. B. W. Petley, TContemp. Phys., 10, (1969)#

6. V. V. Ryazanov et al., Phys. Procedia, 36, (2012)#

7. B. W. Petley, K. M. Petley, Metrologia, 6, (1970)#

8. V. V. Ryazanov et al., Phys. Rev. Lett., 96, (2006)#

9. T.Golod, V. K.Oboznov,Phys. Rev. Applied, 11, (2019)#

10. M. Y. Kupriyanov et al., Phys. Rev. Lett., 96, (2006)#

11. M. Fiske Rev. Mod. Phys., 36, (1964)#

12. C. A. Hamilton, Phys. Rev. B, 5, (1972)#

13. I. Askerzade, Tech. Phys., 51, (2006)#

14. V. Ambegaokar, A. Baratoff, Phys. Rev. Lett. 10, (1963)#

15. A. Sasaki, Phys. Rev. B, 101, (2020)#

16. A. A. Golubov, Rev. Mod. Phys., 76, (2004)#

17. A.L.Kasatkin,E.A.Pashitskii, Ukr. Fiz. Zh., 21, (1976)#

18. I. Askerzade, M. C. Abul-Magd, Modern Aspects of
Josephson Dynamics and Superconductivity Electron
ics, Springer, (2017)#

19. Y. Asano, Phys. Rev. B, 97, (2018)#

20. B. M. Andersen, Front. Phys., 12, (2024)#

21. S. K. Ghosh, J. Phys.: Condens. Matter, 32, (2020)#

22. G. M. Luke, Nature, 394, (1998)#

23. J. J. Sakurai, J. Napolitano, Modern Quantum Mechan
ics, Cambridge University Press, (2020)#

24. V. K. Anand, Phys. Rev. B, 107, (2023)#

25. G. D. Mahan, Many-Particle Physics, Plenum Press,
New York, (1990)#

26. M. Tinkham, Introduction to Superconductivity, 2nd
Ed., Dover Publications, (2004)#

27. A. I. Buzdin, Rev. Mod. Phys., 77, (2005)#
 
Transactions in Theoretical and Mathematical Physics
Volume 2, Issue 2
Spring 2025
Pages 110-115

  • Receive Date 30 April 2025
  • Revise Date 25 May 2025
  • Accept Date 31 May 2025
  • First Publish Date 31 May 2025
  • Publish Date 01 May 2025