二维库仑玻璃作为超导薄膜中涡旋钉扎的模型
Two-dimensional Coulomb glass as a model for vortex pinning in superconducting films
摘要：
本文提出了一个低温下高度无序超导薄膜在磁场$B \ll H_{c2}$中涡旋钉扎的玻璃模型。强集体钉扎的涡旋系统中实现的无序超导体，接近量子相变的绝缘相-如$\mathrm{In O}_x$，$\mathrm{Nb N}$，$\mathrm{Ti N}$，$\mathrm{Mo Ge}$，纳米颗粒铝，和其他-被认为是第一次在理论上。利用自旋玻璃理论的复制技巧，我们证明了这种涡旋系统是在非遍历状态的玻璃型与大的动力学电感每平方$L_K$。计算了局域钉扎能的分布函数，发现它具有很宽的能隙，即发现弱钉扎涡旋的概率很低。
英文摘要：
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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