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arXiv · 2007.06232

Two-dimensional Coulomb glass as a model for vortex pinning in superconducting films

Igor Poboiko·Mikhail Feigel'man
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Abstract

A glass model of vortex pinning in highly disordered thin superconducting films in magnetic fields $B \ll H_{c2}$ 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 $\mathrm{In O}_x$, $\mathrm{Nb N}$, $\mathrm{Ti N}$, $\mathrm{Mo Ge}$, nano-granular aluminium, and others -- 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 large kinetic inductance per square $L_K$. 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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BibTeXRIS

Igor Poboiko, Mikhail Feigel'man. 2020-07-13. Two-dimensional Coulomb glass as a model for vortex pinning in superconducting films. https://doi.org/10.1134/s002136402016002x

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