Simulations of Strongly Correlated Materials

9406678贾雷尔这项提议涉及高度相关的电子系统的模拟。这些系统包括高温超导体、重费米子材料和磁性材料。要应用的方法包括量子蒙特卡罗，通常与分析技术相结合。兴趣的性质是动态响应，兴趣模型包括Hubbard、Anderson、Holstein和Kondo。此外，还将研究磁性杂质对弱局域化的影响，以及3D无序关联系统(通过在部分位置上具有强关联的无序Hubbard模型)。此外，国际和平研究所将继续开展分析延拓工作。%这项建议涉及电子高度相关的系统中电子性质的计算。这类系统包括高温超导体和磁性材料。由于这些系统是如此复杂，我们将努力理解模型系统--之所以选择模型系统，是因为它们包含了一大类材料的大部分重要物理原理。因此，可以找到通用行为。感兴趣的性质包括输运系数(如电导率)、光谱和给定系统不同状态的寿命。这种方法包括复杂的数值模拟，以及从如此发现的数字中提取信息的聪明技术。这一建议代表了在理解重要技术材料的基本物理方面的战略性但根本性的工作。***

9406678 Jarrell This proposal concerns the simulation of highly correlated electronic systems. The systems include the high temperature superconductors, heavy Fermion materials and magnetic materials. The methods to be applied involve Quantum Monte Carlo, often coupled with analytical techniques. The properties on interest are dynamical response and the models of interest include the Hubbard, Anderson, Holstein and Kondo. In addition, the effect of magnetic impurities on week localization will be studied as well as 3D disordered correlated systems (via a disordered Hubbard model with strong correlations on a fraction of the sites). Also the PI will continue work on analytic continuation. %%% This proposal concerns the calculation of electronic properties in systems in which the electrons are highly correlated. Such systems include the high temperature superconductors and magnetic materials. Because these systems are so complex, the effort will be on the understanding of model systems - chosen because they incorporate most of the important physics of a wide class of materials. Thus generic behavior may be found. The properties of interest include transport coefficients (eg conductivity), spectra and the lifetimes of different states of a given system. The methodology involves sophisticated numerical simulation as well as clever techniques to extract information from the numbers so-found. This proposal represents strategic but fundamental work in the understanding of the basic physics of important technological materials. ***