Cooperative Phenomena in Systems of Restricted Dimensionality

9627459 Doniach这项资助进一步延续了这位资深、杰出的PI对强关联电子一般问题的支持。 目前赠款的具体项目包括：使用PI早期开发的投影仪技术对t-J模型进行精确对角化，利用Doniach-Inui拉格朗日量的推广，结合电荷和自旋波动以及耗散和高磁场的影响，以及近藤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氧化铜在掺杂范围内不再是高温超导体的特性的新想法。 这样做是希望阐明这些特殊材料的微观性质。 在另一个项目中，PI将使用一些最近发现的数学技术研究Kondo绝缘体（在高温下具有金属和磁性，在低温下具有磁性和绝缘性的材料）。 ***

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. ***