Theoretical Studies of Pinned Condensed Matter Systems

PI计划研究二维有序空间调制结构如何与钉住电位相互作用。钉住电位包括杂质和人工材料、图案和结构。所提出的工作的主要部分是关于二维的电子气体。该研究主要集中在三个方面：量子霍尔系统中自旋织构对一系列人工结构的响应，钉住的维格纳晶体对低频电磁场的响应，以及超导体中涡旋晶格钉住过程中塑性变形的作用。这项研究处于凝聚态理论的前沿，关注的是被限制在平面上的电子和由电子组成的复合粒子如何参与空间有序状态，对杂质和人工结构等缺陷做出反应。这些问题对分层材料的理论描述和发生在材料和材料界面的电子现象提出了新的挑战。PI的工作将有助于开发新的方法来理解材料中发生的电子现象，并在开发新设备技术方面具有潜在的重要意义。＊＊＊

9870681 Fertig The PI plans to investigate how orderly spatially modulated structures in two dimensions interact with a pinning potential. Pinning potentials include impurities and artificial materials patterns and structures. A major fraction of the proposed work is concerned with the electron gas in two dimensions. The study focuses on three areas: the response of spin textures in quantum Hall systems to an array of artificial structures, the response of pinned Wigner crystals to low frequency electromagnetic fields, and the role of plastic deformation on pinning processes in vortex lattices that occur in superconductors. %%% This research is at the forefront of condensed matter theory and is concerned with how electrons confined to a plane and composite particles made up of electrons that participate in a spatially ordered state, respond to defects such as impurities and artificial structures. These problems represent new challenges to theoretical descriptions of layered materials and electronic phenomena that occur in materials and at interfaces of materials. The PI's work will contribute to developing new methods to understand electronic phenomena that occur in materials and that are potentially important in developing new device technologies. ***