Fluctuations and Order: Theory of Highly Correlated Electronic and Classical Systems

我们将研究电子和原子涨落的作用及其在结构和电子秩序中的表现。特别关注准晶态存在的微观原因，多中心相互作用在金属-绝缘体和气液相变交汇处的作用，巡回和定域电子系统中可能出现的新的配对机制，以及解决重电子问题的一些新方法。它还试图研究高度相关的金属流体的物理学，解决结构直接用于提取基本相互作用的经典逆问题，通过非均匀系统理论探索液体表面和界面的性质，并研究复杂的流体和偏序状态。

The role of electronic and atomic fluctuations and their manifestations in structural and electronic order will be examined. In particular focus will be on the underlying microscopic reasons for the existence of the quasicrystalline state, the role role of multicenter interactions at the confluence of the metal-insulator and liquid-vapor transition, on possible new pairing mechanisms in both itinerant and localized electron systems, and on some new approaaches to the heavy- electron problem. It also seeks to examine the physics of highly correlated metallic fluids, to address the classical inverse problem in which structure is directly used to extract fundamental interactions, to pursue through the theory of inhomogeneous systems the nature of liquid surfaces and interfaces, and to study complex fluids and states of partial order.