Theory of Electronic Transport in Disordered Materials

建议研究无序电子液体的输运性质，包括正常电子液体和超导电子液体。第一个项目是研究正常导电薄膜和导线中的非弹性电子散射。考虑到真实的声子光谱，这将使无参数比较成为可能，与在独立结构上的实验相比较。对于超导体，准粒子寿命将作为实验观察到的对破裂的可能来源进行研究。他们还将进一步探索最近提出的关于临界温度无序依赖的冷关系间隙机制的实验结果。第三个项目是更好地了解相互作用电子的金属-绝缘体转变。这将通过对Finkelshtein导出的模型进行仔细的重整化群分析来完成。有人认为，重整化过程比以前所认识的要微妙得多。最近的证据表明，对于适当处理的模型，可以建立重整化。这将保证所得到的流动方程具有物理意义。这个项目的结果将使研究屏蔽的击穿和极强无序超导的破坏成为可能，从而与前两个项目取得联系。

It is proposed to study transport properties of disorderd electron liquids, both normal and superconducting. The first project is to study inelastic electron scattering in normal conducting thin films and wires. Taking into account realistic phonon spectra, this will make possible a parameter-free comparison with experiments on free-standing structures. For superconductors, the quasiparticle lifetime will be studied as a possible source of experimentally observed pairbreaking. They will also explore further experimental consequences of the recently proposed coorelation gap mechanism for the disorder dependence of the critical temperature. The third project is to obtain a better understanding of the metal-insulator transition of interacting electrons. This will be done by a careful renormalization group analysis of the model derived by Finkelshtein. It is argued that the renormalization procedure is much more subtle than has previously been recognized. Very recent evidence suggests that for the properly treated model renormalizability can be established. This will guarantee that the resulting flow equations are physically meaningful. The results of this project will make it possible to study the breakdown of screening and the destruction of superconductivity at extremely strong disorder, thus making contact with the first two projects.