Physics of Strongly Interacting Many-Electron Systems

提出了探索强相互作用多电子系统物理性质的研究。我们将研究二维Hubbard模型和二维电-声子Holstein模型金属-绝缘体相变附近的超导问题。此外，还对金属、周期Anderson晶格和Kondo晶格中的动态杂质进行了研究。这些问题的一个共同特点是需要使用非摄动程序，如数值模拟或无限阶图解近似。这项工作旨在将数值模拟和解析多体技术相结合。

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.