Physics of Strongly Interacting Many-Electron Systems

这个项目是为了研究强相互作用的多电子系统的物理性质。它包括数值计算（使用各种技术，MonteCarlo，密度矩阵重整化群和转移矩阵对角化）的Heisenberg， Hubbard和t-J模型描述费米子限制在耦合链和/或平面。这项工作的目标是获得对磁性、电荷密度和配对相关性的基本机制的更清晰的物理理解，以及这些相关性如何引起强相关材料的观察到的物理性质。有进一步的现象学分析建议，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）。底层材料往往是新型合成材料。这一理论研究将有助于了解其性质，并将对新型合成材料的潜在应用至关重要。* * *

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. ***