Transport Properties of Condensed Matter Systems

9632978柯克帕特里克关于低温无序电子系统的理论研究。重点讨论的四个具体主题是：(1)无序(和干净的)巡回量子铁磁；(2)无序巡回量子反铁磁体；(3)作为随机场问题的金属-绝缘体相变；(4)无序相互作用电子场论的一般方面。这些方法包括有效场论的建立、重整化群技术和多体微扰理论。强相互作用电子系统问题是现代凝聚态物理中的一个重要问题。在过去的几年里，研究人员发现，人们对金属中的磁性等基本问题并没有真正从根本上理解，现有的理论方法不足以深入了解这个问题。这笔赠款将着眼于一些与中心问题有关的问题，即强相互作用的电子系统，并为实现这一目标使用和开发各种强大的数学技术。***

9632978 Kirkpatrick Theoretical research will be done on low temperature disordered electronic systems. The four specific topics of emphasis are: (1) disordered (and clean) itinerant quantum ferromagnets; (2) disordered itinerant quantum antiferromagnets; (3) the metal-insulator transition as a random field problem; (4) general aspects of field theories for disordered interacting electrons. The methodologies include the construction of effective field theories, renormalization group techniques, and many-body perturbation theory. %%% The problem of strongly interacting electron systems is a major one in modern condensed matter physics. Researchers have discovered over the past few years that such fundamental issues as magnetism in metals are not really understood at a fundamental level and that existing theoretical methods are not sufficient to gain a deep understanding of the problem. This grant will look at a number of problems related to the central one of strongly interacting electron systems and use, and develop, a variety of powerful mathematical techniques in order to do this. ***