Magnetism in Light of High Temperature Superconductivity, Granular Superconductors, and Mott Insulators

最近发现的高温超导体表现出许多新的磁效应。这使得物理学家重新审视磁性和超导性之间的密切联系。提出的研究将着眼于量子反铁磁体的静态和动态特性，这是LaCuO的特征。此外，薄膜颗粒超导体的理论研究具有两个能量尺度的特征：在一个尺度上，序参量的振幅发展，在第二个尺度上，整个样品的相相干发展。对这些系统的研究需要有关相序参数量子涨落的新思想。最后的研究重点将着眼于莫特绝缘体，利用局部规范不变性原理来理解从绝缘状态到金属或超导状态的转变。

The recently discovered high temperature superconductors exhibit many novel magnetic effects. This has caused physicists to revisit the intimate connections between magnetism and superconductivity. The proposed research will look at the static and dynamic properties of quantum antiferromagnets which characterize LaCuO. Also, theoretical studies of thin film granular superconductors are characterized by two energy scales: a scale at which the amplitude of the order parameter developes and a second scale at which phase coherence develops across the entire sample. Research on these systems requires novel ideas concerning quantum fluctuations of the phase order parameter. The final reserach thrust will look at Mott insulators using a principle of local gauge invariance to understand transitions from the insulating state to a metallic or superconducting one.