论文标题
部分可观测时空混沌系统的无模型预测
Interplay of superconductivity and localization near a 2D ferromagnetic quantum critical point
论文作者
论文摘要
我们研究了二维无序的费米液体的超导不稳定,与与Ising-Ferromagnetic量子临界点相关的软波动弱耦合。我们将相互作用诱导的校正得出,以控制超导间隙函数的USADEL方程,并表明扩散和定位效应会大大修改费米子不连贯性和强配对相互作用之间的相互作用。特别是,我们获得了相图,并证明了:(i)有一个中间的无序强度范围可以增强超导性,最终倾向于在更强的疾病时倾向于超过导体 - 导体 - 绝缘体转变; (ii)扩散的粒子粒子模式(所谓的“库珀族”)获得异常的动力学缩放$ z = 4 $,表明强烈的非Fermi液体行为。
We study the superconducting instability of a two-dimensional disordered Fermi liquid weakly coupled to the soft fluctuations associated with proximity to an Ising-ferromagnetic quantum critical point. We derive interaction-induced corrections to the Usadel equation governing the superconducting gap function, and show that diffusion and localization effects drastically modify the interplay between fermionic incoherence and strong pairing interactions. In particular, we obtain the phase diagram, and demonstrate that: (i) there is an intermediate range of disorder strength where superconductivity is enhanced, eventually followed by a tendency towards the superconductor-insulator transition at stronger disorder; and (ii) diffusive particle-particle modes (so-called `Cooperons') acquire anomalous dynamical scaling $z=4$, indicating strong non-Fermi liquid behavior.