Low Energy Implications of Strong Electronic Correlations

9312606 Kivelson这个提议涉及强电子相关的低能量含义。PI建议继续研究：1）强磁场中二维电子气的集体性质，特别是绝缘态的性质（PI先前将其确定为“霍尔绝缘体”），以及试图测量分数量子霍尔效应中准粒子电荷的实验。2)阻挫相分离对铜酸盐超导体性质的影响。3)分子固体中的分子内关联效应对碱金属掺杂富勒烯的影响。4)非常脏的超导体的性质，特别是在二维空间。 这个提议涉及到对凝聚态系统的理论研究和新物理学，在凝聚态系统中，电子以非标准的方式相互作用，也就是说，通常的平均电子方法被打破了。 PI建议研究这样的系统--所谓的“强关联系统”--如下：a）强磁场中的二维电子气，B）某些磁性材料（反铁磁体）相分离的趋势，c）新发现的碱金属掺杂富勒烯中超导性的可能分子内机制，d）脏或无序超导体的性质。这种类型的工作是在当代凝聚态理论问题的前沿。 ***

9312606 Kivelson This proposal concerns the low energy implications of strong electronic correlations. The PI proposes to continue studying: 1) The collective properties of the two-dimensional electron gas in a strong magnetic field, especially the nature of the insulating state (which the PI previously identified as a "Hall Insulator"), and the experiments which have sought to measure the charge of the quasi particles in the fractional quantum Hall effect. 2) The implications of frustrated phase separation for the properties of the cuprate superconductors. 3) The effects of intramolecular correlation effects in molecular solids with particular reference to the alkali-doped fullerenes. 4) The properties of very dirty superconductors especially in two dimensions. %%% This proposal involves the theoretical investigation of, and the new physics involved in, condensed matter systems in which the electrons interact with one another in non-standard ways - that is in ways in which the usual averaged-electron methods break down. The PI proposes to examine such systems - so called "strongly correlated systems" - as follows: a) an electron gas in two dimensions in strong magnetic fields, b) the tendency of certain magnetic materials (antiferromagnets) to phase separate c) possible intramolecular mechanisms for superconductivity in the newly-found alkali-metal doped fullerenes and d) the properties of dirty or disordered superconductors. This type of work is at the forefront of issues in contemporary condensed matter theory. ***