Quantum Critical Phenomena and Non-Fermi-Liquid Physics

0081075Millis这笔赠款支持一位杰出的、职业生涯中期的PI在强关联电子系统方面的理论工作。该基金的研究项目包括(1)无序和量子临界现象，(2)高温超导电性和(3)高关联系统中的非平衡现象。这类问题通常被称为非费米液体效应。它们位于朗道的费米液体理论所提供的金属中电子的理解边缘之外。费米液体理论之外的反常现象包括稀土合金中的大量热力学/量热结果，这些结果被认为是由于无序而接近量子临界点。在与高密度磁记忆相关的材料和弛豫铁电体中也有相关的效应。高T_c铜氧化物的高温电阻率等存在非平衡效应。这些项目涉及分析和数值方法，以及与相关实验工作的密切联系。这笔赠款支持的理论工作来自当前材料研究的两个主题。金属中电子的性质存在某些反常现象，这显然超出了传统的朗道金属理论的范畴。它们是由存在严重的无序和或极端的环境，如压力、磁场或温度引起的。这里的工作是基础和深远的，因为它可能需要开发复杂的、新的数学工具，同时它的动机是需要了解对高密度磁存储器重要的材料或将其铁电性质用于存储应用的材料。这项工作将与实验人员密切合作，并将在必要时利用分析和数值技术。

0081075MillisThis grant supports the theoretical work of a distinguished, mid-career PI on stronglyCorrelated electron systems. The list of research projects in this grant includes (1)Disorder and Quantum Critical Phenomena, (2) High Temperature Superconductivity and(3) Nonequilibrium phenomena in highly correlated systems. The class of problems hereis frequently referred to as non-Fermi liquid effects. They lie beyond the edge ofunderstanding of electrons in metals offered by Landau's Fermi liquid theory. Theanomalies beyond the Fermi liquid theory include the large number ofthermodynamic/calorimetric results in rare-earth alloys, which are believed to be near a quantum critical point due to disorder. There are related effects in materials relevant forhigh-density magnetic memories and in relaxor ferroelectrics. There are nonequilibriumeffects such as the high temperature resistivity of high Tc copper oxides. The projectsinvolve analytical and numerical approaches along with close contact with relevantexperimental work.%%%The theoretical work supported in this grant comes from two themes in current research on materials. There are certain anomalies in the properties of electrons in metals, whichApparently lie outside the conventional paradigm, referred to as the Landau's theory ofmetals. They are caused by the presence of substantial disorder and or extremeenvironmental such as pressure, magnetic field or temperature. The work here isfundamental and far-reaching in that it may require development of sophisticated, newmathematical tools and at the same time it is motivated by a need to understand materialswhich are important for high density magnetic memories or materials which use theirferroelectric properties for memory applications. This work will be carried out in closecontact with experimentalists and will make use of both analytical and numericaltechniques, as may be necessary.***