Strongly Correlated Quantum Systems

他们建议在这个项目中进行理论研究， 强关联量子系统 这种性质 系统会因为它们之间的相互作用而发生巨大的变化， 成分（自旋或电子）。 的 系统中相关性的重要性可以在几个方面得到增强 方法：通过应用强磁场，通过减少 系统的维度或通过增加 这些成分之间的相互作用。 他们在此提议， 研究强磁场中的三维电子气 领域，利用通过开发获得的知识 分数量子霍尔效应（Fractional Quantum Hall Effect） 相同的 知识可以用来与优势，在应用一类 变分波函数来研究单- 三维电子气 他们还建议继续他们的 强磁场中二维电子气的研究 领域 此外，最近发现的氧化铜 层状超导体被认为与 由于极强的库仑相互作用， 在同一个铜原子上的电子之间。 这些相互作用 可能是它们高温超导的原因 他们提出了旨在了解 它们在相互作用强度上的性质。

They propose in this project to carry out theoretical studies of strongly correlated quantum systems. The properties of such systems are drastically altered as a result of interactions among the constituents (spins or electrons in their case). The importance of correlations in a system can be enhanced in several ways: by the application of a strong magnetic field, by reducing the dimensionality of the system or by increasing the strength of interactions between these constituents. They propose here to study the three-dimensional-electron-gas in a strong magnetic field, using knowledge gained through the development of the theory of the fractional quantum Hall effect (FQHE). The same knowledge can be used with advantage in applying a class of variational wave functions to study the properties of the one- dimensional electron gas. They propose also to continue their studies of the two-dimensional electron gas in a strong magnetic field. Additionally, the recently discovered copper oxide layered superconductors are believed to be strongly correlated systems because of the extremely strong Coulomb interactions between electrons on the same copper site. These interactions may be responsible for their high-temperature superconductivity and they propose studies aimed at understanding the dependence of their properties on the interaction strength.