本计划拟研究二维超导体及多带超导体理论,特别是热扰动和量子扰动对系统的影响. 最近FeSe长在SrTiO3衬底上的薄膜发现具有很高的超导相变温度. 我们将研究此类系统的超导微观机理. 二维超导体在临界温度也有非常强的热涨落, 系统在低温下有很强的量子涨落. 二维超导系统序参量的关联，在低温区是随距离是代数衰减，高温区是指数衰减. 此相变称为为BKT(Berezinsky–Kosterlitz–Thouless)相变. 我们将研究高温区二维超导体的BKT相变及系统的输运理论及研究低温高磁场的量子涡旋液态. 电子型参杂的铜氧化合物和铁基超导体是典型的多带超导系统. 在超导涨落区间，可通过测量输运和热力学量, 来研究多带的性质. 我们将用Ginzburg-Landau多带理论来研究超导涨落的影响.

We plan to study the properties of two dimensional superconductors and the multi-band superconductors, in particular their thermal and quantum fluctuation effects. Recently it was found that the single layer of iron selenide (FeSe) grown on a strong polar insulator SrTiO3 exhibits superconductivity at surprisingly high temperature. We will study the microscopic mechanism of the superconductivity of such system. Such two dimensional systems have very strong thermal and quantum fluctuation effects. The correlation of order parameters is algebraic decay in low temperature phase and exponential decay in high temperature phase. We will study the phase transition and the transport properties of such 2D systems, and quantum vortex liquid at small temperature and high field. We also plan to study the multi-band superconductors (for example electron doped cuprates and iron based superconductors), in particular the superconducting fluctuation effects in multi-band superconductors.