Fluxoid Quantum hc/2e Protected in an S-Wave Superconducting Ring
Keywords:
superconductor , Little-Parks effect , Aharonov-Bohm effectAbstract
Background and Objectives : A question of the possibility of the crossover of flux periodicity from the usual Little-Parks value of a fluxoid quantum to a period when the radius of an s-wave superconducting ring is reduced, is examined in detail.
Methodology : The method of Gor’kov Green's function is employed to calculate the superconducting critical temperature equation. The numerical analysis is studied to explore the fluxoid crossover phenomenon.
Main Results : We study the phenomenon of fluxoid crossover both in the cases of large- and finite-radius limits and found a period of oscillation of the critical temperature is always given by . The obtained results show the fluxoid is strictly quantized in units of .
Conclusions : Our analysis provides the results contrast to the theoretical work of Wei-Goldbart in the context of a one-dimensional superconducting clean ring. The study enhances the proper understanding of flux periodicity and fluxoid quantization in the critical temperature of an s-wave superconducting ring threaded by magnetic flux.
References
Aharonov, Y. , & Bohm, D. (1959). Significance of electromagnetic potentials in the quantum theory. Physical Review,115(3), 485.
Barash, Y.S. (2008). Low-Energy subgap states and the magnetic flux periodicity in d-wave superconducting rings. Physical Review Letters, 100(17), 177003.
De Gennes, P.G. (1966). Superconductivity of metals and alloys. Addison-Wesley, Reading, MA.
Gradshteyn, I.S. , & Ryzhik, I.M. (2007). Table of integrals, series, and products seventh edition. Elsevier Academic Press publications.
Fetter, A. L. , & Walecka, J. D. (1971) Quantum Theory of Many-Particle Systems. McGraw-Hill. New York.
Little, W.A., & Parks, R.D. (1962). Observation of Quantum Periodicity in the Transition Temperature of a Superconducting Cylinder. Physical Review Letters, 9(1), 9.
Loder, F., Kampf, A.P., & Kopp, T. (2008). Crossover from hc/e to hc/2e current oscillations in rings of s-wave superconductors. Phys. Rev. B, 78, 174526
London, F. (1950). Superfluids. Wiley, New York.
Nisaisue, C. , & Krunavakarn, B. (2023, December). Universality of flux quantum in an s-wave superconducting ring. In Journal of Physics: Conference Series (Vol. 2653, No. , p.012407). IOP Publishing
Webb, R.A., Washburn, S., Umbach, C. P. & Laibowitz, R.B. (1985). Observation of h/e Aharonov-Bohm Oscillations in Normal-Metal Rings. Phys. Rev. Lett. , 54(25), 2696.4
Wei, T. C., & Goldbart, P.M. (2008). Emergence of h/e-period oscillations in the critical temperature of small superconducting rings threaded by magnetic flux. Physical Review B, 77(22), 224512.
Zhu, J.-X., & Wang, Z.D. (1994). Supercurrent determined from the Aharonov-Bohm effect in mesoscopic superconducting rings. Phys. Rev., B 50(10), 7207.
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