Fluctuation, Correlation, and Order in Dense Quantum and Classical Systems

9319864 Ashcroft理论研究将在量子和经典系统中进行波动物理及其在电子和结构顺序中的表现。受实验的启发，计划进行三个研究方向：多体理论、相关经典系统和电子结构。 在多体理论下，凝聚态的基本两组分理论将使用相干态泛函积分方法发展。 在相关的经典系统下，结构物质的理论将被发展，它与同质对应物的理论相平行。 电子结构推力将通过单粒子和多体方法来检查实验中在电子和质子的致密集合中观察到的有序范围，其中双费米子系统中的快自由度和慢自由度很明显。 发展的理论将被应用于高电流的兴趣，如超导，准晶体和金属绝缘体过渡的问题。 理论研究将在多体系统的相对简单的模型上进行，以了解波动物理学，因为它在秩序，结构和运输中出现。 这项工作将为更复杂的系统中的类似行为提供洞察力。 这项研究不仅解决了凝聚态物理学中的基本问题，而且还将开发的模型应用于当前感兴趣的真实的材料。 ***

9319864 Ashcroft Theoretical research will be conducted on fluctuational physics and its manifestations in electronic and structural order in both quantal and classical systems. Motivated by experiment, three research thrusts are planned: many-body theory, correlated classical systems, and electronic structure. Under many-body theory a fundamental two-component theory of condensed matter will be developed using coherent-state functional integral methods. Under correlated classical systems, a theory of structured matter will be developed which parallels the theory of the homogeneous counterpart. The electronic structure thrust will examine by both single-particle and many-body methods the range of orderings seen experimentally in dense assemblies of electrons and protons where fast and slow degrees of freedom in a dual fermion system are evident. The theories developed will be applied to problems of high current interest such as superconductivity, quasicrystals and the metal-insulator transition. %%% Theoretical research will be conducted on relatively simple models of many-body systems in order to gain an understanding of fluctuation physics as it arises in order, structure and transport. This work will provide insight into similar behavior in more complex systems. The research not only addresses fundamental issues in condensed matter physics, but also applies the models developed to real materials of current interest. ***