Simulations of Strongly Correlated Materials

[406678] Jarrell这个建议涉及高度相关电子系统的仿真。这些体系包括高温超导体、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。利息的性质是动态响应，利息模型包括Hubbard、Anderson、Holstein和Kondo。此外，磁性杂质对周定位的影响将被研究，以及3D无序相关系统（通过在一小部分位点上具有强相关性的无序哈伯德模型）。PI也将继续进行解析延拓的工作。这个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。因为这些系统是如此复杂，我们的努力将集中在对模型系统的理解上——选择模型系统是因为它们包含了大量材料的大多数重要物理特性。因此，可以找到一般的行为。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。该方法包括复杂的数值模拟以及从所发现的数字中提取信息的巧妙技术。这一建议代表了理解重要技术材料的基本物理学的战略性但基础性的工作。＊＊＊

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. ***