Abstract
A glass model of vortex pinning in highly disordered thin superconducting films in magnetic fields B ≪ Hc2 at low temperatures is proposed. Strong collective pinning of a vortex system realized in disordered superconductors that are close to the quantum phase transition to the insulating phase, such as InOx, NbN, TiN, MoGe, and nanogranular aluminum, is considered theoretically for the first time. Utilizing the replica trick developed for the spin glass theory, we demonstrate that such vortex system is in non-ergodic state of glass type with a large kinetic inductance per square LK. The distribution function of local pinning energies is calculated, and it is shown that it possesses a wide gap; i.e., the probability to find a weakly pinned vortex is extremely low.
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Acknowledgments
We are grateful to V.B. Geshkenbein, A.S. Ioselevich, and Y.V. Fyodorov for numerous useful discussions.
Funding
The work was supported by the Russian Science Foundation (project no. 20-12-00361) and by the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS."
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Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 4, pp. 251–257.
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Poboiko, I., Feigel’man, M.V. Two-Dimensional Coulomb Glass as a Model for Vortex Pinning in Superconducting Films. Jetp Lett. 112, 234–240 (2020). https://doi.org/10.1134/S002136402016002X
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DOI: https://doi.org/10.1134/S002136402016002X