Itinerant Electrons in Solids and other Quantum Systems

我们将研究固体中由于电子之间以及电子与离子之间相互作用而产生的集体现象。将使用数值模拟技术以及其他更标准的技术。一个重要的研究领域将是高温超导体的模型。将密切关注实验结果提供的线索。其他研究领域将包括低维量子磁性、磁性杂质系统和重费米子系统的模型。还将讨论与蒙特卡罗方法有关的方法学问题。将蒙特卡罗结果与使用中的各种近似分析方法的预测进行比较，将提供有关这些方法的有效范围的信息。

Collective phenomena in solids arising from the interaction between electrons and between electrons and ions will be studied. Numerical simulation techniques will be used as well as other more standard techniques. One important area of study will be models for high temperature superconductors. Close attention will be paid to clues provided by experimental results. Other areas of study will include models for low-dimensional quantum magnetism, magnetic impurity systems and heavy fermion systems. Methodological questions concerning Monte Carlo methods will also be addressed. Comparison of Monte Carlo results with predictions of various approximate analytic methods in use will provide information about the range of validity of these methods.