Physics of Strongly Interacting Many-Electron Systems

9527304斯卡拉皮诺这个项目是为了研究强相互作用的许多电子系统的物理性质。它包括描述耦合链和/或平面中费米子的Heisenberg、Hubbard和t-J模型的数值计算(使用各种技术、蒙特卡洛、密度矩阵重整化群和转移矩阵对角化)。这项工作的目标是更清楚地物理理解导致磁、电荷密度和配对关联的基本机制，以及这些关联如何引起强关联材料的观察到的物理性质。还有更多关于现象学分析的建议，这些分析有助于阐明从数值计算中获得的见解。最近发现的一些磁体和超导体的性质要么是链状的(纤维状)，要么是平面的(片状)。底层材料通常是新型的合成材料。这一理论研究将有助于理解这种新型合成材料的性质，并对其潜在的应用具有重要意义。***

9527304 Scalapino This project is for work on the physical properties of strongly interacting many electron systems. It includes numerical (using variety of techniques, MonteCarlo, density matrix renormalization group and transfer matrix diagonalization) calculations for the Heisenberg, Hubbard and t-J models describing fermions confined to coupled chains and/or planes. The goal of this work is to obtain a clearer physical understanding of the basic mechanism responsible for the magnetic, charge-density and pairing correlations and how these correlations give rise to the observed physical properties of strongly correlated materials. There are further proposals for phenomenological analyses that help elucidate the insights gained from the numerical calculations. %%% Some of the recently discovered magnets and superconductors are either chain-like (fibrous) or planar (flake) in their properties. The underlying materials are often the novel- synthetic materials. This theoretical study will help understand the properties and will be critical to potential applications of the novel synthetic materials. ***