Condensed Matter Theory

这个项目的主要目标是加强对凝聚态系统中电子现象的理解。提议的工作将包括研究物质的各种量子相的量子和统计力学，包括电子费米液体，整数和分数量子霍尔系统，介观装置，超流体薄膜和分形结构，以及高温和传统超导体。兴趣在于如何通过无序的存在或人工结构的施加以及高磁场的应用来改变材料的性质。量子场论和多体理论的分析方法以及数值量子蒙特卡罗技术将被应用于这些现象的研究。这个项目的目标是加强对各种材料（如金属和半导体）中电子性质的理解。提议的工作将包括研究超导态的金属和研究量子力学起重要作用的超小型电子器件。兴趣在于如何通过无序的存在或人工结构的强加来改变材料的特性，以及如何通过分析数学方法和数值计算技术的应用来改变材料的特性，这些方法和技术在这一科学领域已被证明是有价值的。

9416906 Girvin The main objective of this project is to enhance the understanding of electronic phenomena in condensed matter systems. The proposed work will include investigations of the quantum and statistical mechanics of various quantum phases of matter including, electronic Fermi liquids, integer and fractional quantum Hall systems, mesoscopic devices, superfluid films and fractal structures, and both high-temperature and conventional superconductors. Interest is in how the properties of materials can be modified by the presence of disorder or by the imposition of artificial structures, and by the application of high magnetic fields. Analytical methods of quantum field theory and many-body theory, as well as numerical quantum Monte Carlo techniques will be applied to the study of these phenomena. %%% The objective of this project is to enhance the understanding of the properties of electrons in various materials such as metals and semiconductors. The proposed work will include investigations of metals in the superconducting state and investigations of ultra- small eletronic devices in which quantum mechanics plays an important role. Interest is in how the properties of materials can be modified by the presence of disorder or by the imposition of artificial structures, and by the application of both analytical mathematical methods and numerical computational techniques which have proved valuable in this field of science.