Cooperative Phenomena in Systems of Restricted Dimensionality

这项拨款进一步延续了这位资深杰出的PI在强相关电子一般问题上的支持。目前资助的具体项目包括：使用PI早期开发的投影技术对t-J模型进行精确对角化，利用Doniach-Inui拉格朗日的推广，结合电荷和自旋涨落以及耗散和高磁场的影响，超导体-绝缘体跃迁的性质，以及近道绝缘体的动态平均场（无限维极限）研究。这项资助探索了几个关于铜氧化物在掺杂范围内的特性的新想法，在这些掺杂范围内，它们不再是高Tc超导体。这样做的目的是为了阐明这些特殊材料的微观特性。在另一个项目中，PI将使用一些最近发现的数学技术研究近藤绝缘体（高温下具有金属和磁性，低温下具有非磁性和绝缘的材料）。＊＊＊

9627459 Doniach This grant further continues the support of this senior, distinguished PI on the general problem of strongly correlated electrons. Specific projects in the present grant include: Exact diagonalization of a t-J model using a projector technique developed earlier by the PI, properties of a superconductor-insulator transition utilizing a generalization of the Doniach-Inui lagrangian incorporating both charge and spin fluctuations and effects of dissipation and of high magnetic fields, and a dynamic mean field (the infinite dimension limit) study of the Kondo insulators. %%% This grant explores several novel ideas about the properties of Copper oxides in the range of doping where they are no longer High Tc superconductors. This is done with the hope of elucidating the microscopic properties of these special materials. In another project the PI will study the Kondo insulators (materials which are metallic and magnetic at high temperatures and nonmagnetic and insulating at low temperatures) using some recently discovered mathematical techniques. ***