U.S.-Hungary Materials Theory Research on Strongly Correlated and Mesoscopic Systems

这个美国和匈牙利的研究项目由新不伦瑞克罗格斯大学的皮尔斯·科尔曼和他的合作伙伴布达佩斯技术大学物理研究所的阿尔弗雷德·扎瓦多夫斯基领导的两个小组参与。他们的合作特点是研究强相关系统，重点研究重费米子系统中的量子临界性和超导性，以及介观器件中的电子相关效应。这些研究人员在最近对重费米子金属的磁量子临界点进行的实验和纳米科学的发展中发现了动机，这些实验使测量和观察单电子器件的强相关态成为可能。本项目研究计划的主要内容为：1)近藤晶格中的磁量子临界点；2)重费米子化合物的超导序；3)量子点的动力学和非平衡性质。将采用各种数值和分析方法，包括从粒子方法和大N展开；微扰重整化群技术与e展开并将动态平均场理论计算与数值重整化群方法相结合。如果成功，这些发现将有助于我们了解纳米尺度上的新现象，这些现象可能适用于特殊制造的材料。这个材料理论的国际研究项目通过使美国和中欧的专家能够在共同感兴趣和能力强的领域结合互补的人才和共享研究资源，实现了推进科学知识的计划目标。

This U.S.-Hungarian research project involves two teams led by Piers Coleman of Rutgers University, New Brunswick, and his partner Alfred Zawadowski of the Physics Institute at the Technical University, Budapest. Their collaboration features examination of strongly correlated systems with an emphasis on quantum criticality and superconductivity in heavy fermion systems and electronic correlation effects in mesoscopic devices. These researchers found motivation in recent experiments performed at the magnetic quantum critical point of a heavy fermion metal and in nano-science developments that enable measurements and observations of strongly correlated states in single electron devices.The project's research plan features study of: 1) magnetic quantum critical point in the Kondo lattice; 2) superconducting order in heavy fermion compounds and 3) dynamical and out-of equilibrium properties of quantum dots. Various numerical and analytical methods will be employed including slave particle methods and large N expansions; perturbative renormalization group techniques and e-expansions; and dynamical mean field theory calculations combined with numerical renormalization group methods. If successful, findings should contribute to our knowledge of new phenomena on a nanometer scale that may be applicable in specially fabricated materials. This international research project in materials theory fulfills the program objective of advancing scientific knowledge by enabling experts in the Untied States and Central Europe to combine complementary talents and share research resources in areas of strong mutual interest and competence.