A glass model of vortex pinning in highly disordered thin superconducting films in magnetic fields B ≪ 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 InO_x, NbN, TiN, MoGe, 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.

涡流在磁场高度无序薄的超导膜的钉扎的玻璃化模型乙« ħ _{Ç 2}在低温下提出。理论上首次考虑了在无序超导体中实现的涡旋系统的强力集体钉扎，这些无序超导体接近于量子相过渡到绝缘相的过程，例如InO _x，NbN，TiN，MoGe，纳米颗粒铝等。 。利用为自旋玻璃理论开发的复制技巧，我们证明了这种涡旋系统处于玻璃态的非遍历状态，每平方公尺L _K具有大的动感。。计算了局部钉扎能量的分布函数，结果表明它具有较大的间隙，即发现弱钉扎涡旋的可能性极低。