Physics of Strongly Interacting Many-Electron Systems

提出了探索强相互作用多电子系统的物理性质的研究。本文研究了二维Hubbard模型和二维电声子Holstein模型中金属-绝缘体相变附近的超导问题。此外，还提出了金属中动态杂质、周期安德森晶格和近藤晶格的研究工作。这些问题的一个共同特点是需要使用非微扰程序，如数值模拟或无限阶图解近似。这项工作的目的是结合数值模拟和分析多体技术。

Research to explore the physical properties of strongly interacting many-electron systems is proposed. The problems of superconductivity near the metal-insulator transition of the two- dimensional Hubbard model and the two-dimensional electron-phonon Holstein model will be studied. In addition, work on dynamic impurities in metals, periodic Anderson and Kondo lattices is proposed. A common feature of these problems is the need to use non-perturbative procedures such as numerical simulation or infinite-order diagrammatic approximations. This work aims at combining numerical simulations and analytic many-body techniques.