Feigel'man M V, Ioffe L B, Kravtsov V E, Yuzbashyan E A
L. D. Landau Institute for Theoretical Physics, Kosygin street 2, Moscow 119334, Russia.
Phys Rev Lett. 2007 Jan 12;98(2):027001. doi: 10.1103/PhysRevLett.98.027001. Epub 2007 Jan 8.
We develop a theory of a pseudogap state appearing near the superconductor-insulator (SI) transition in strongly disordered metals with an attractive interaction. We show that such an interaction combined with the fractal nature of the single-particle wave functions near the mobility edge leads to an anomalously large single-particle gap in the superconducting state near SI transition that persists and even increases in the insulating state long after the superconductivity is destroyed. We give analytic expressions for the value of the pseudogap in terms of the inverse participation ratio of the corresponding localization problem.
我们发展了一种关于赝能隙态的理论，该态出现在具有吸引相互作用的强无序金属中的超导体 - 绝缘体（SI）转变附近。我们表明，这种相互作用与迁移率边缘附近单粒子波函数的分形性质相结合，导致在SI转变附近的超导态中出现异常大的单粒子能隙，并且在超导性被破坏很久之后，该能隙在绝缘态中仍然存在甚至增大。我们根据相应局域化问题的逆参与率给出了赝能隙值的解析表达式。
