【报告题目】：Theory of Localized States in Quasiperiodic Lattices
【报 告 人】：高锦华教授，华中科技大学
【报告时间】：4月24日（周五），上午10:00
【报告地点】：29-414
【报告摘要】：The physics of localized states in quasiperiodic lattices has been extensively studied for decades, but still lacks an comprehensive theoretical framework. Recently, we developed a incommensurate energy band (IEB) theory, which extends the concept of energy bands to quasiperiodic systems lacking translational symmetry, thereby achieving a breakthrough in elucidating extended states. Here, we demonstrate that, due to the inherent duality between momentum and real space, the IEB theory also offers a comprehensive framework for elucidating localized states. Specifically, via a so-called spiral (module) mapping, the energy spectrum of localized states can be represented as a function defined on a compact circular manifold-akin to the Brillouin zone-whose form resembles conventional energy bands. These localized state energy bands (LSEBs) fully characterize all the properties of the localized states. Moreover, we show that quasiperiodic systems with mobility edges exhibit a unique hybrid band structure: the IEB for extended states (momentum space) and LSEB for localized states (real space), separated by mobility edges. Our theory thus establishes a comprehensive framework for analyzing the localized states in quasiperiodic lattices.
【报告人简介】：高锦华，2003年本科毕业于北京大学物理学院，2008年博士毕业于中国科学院物理研究所，之后在香港大学从事博士后研究工作。2013年起进入华中科技大学工作，主要从事凝聚态理论方面的研究，在Phys. Rev. Lett.，Nat. Sci. Rev.，Phys. Rev. X， Sci. Bull.，Phys. Rev. B 等高水平杂志发表论文40余篇。最近主要从事莫尔体系的理论研究，在非公度（准周期）晶格能谱理论方面取得了一系列进展，将能带概念推广到了准周期体系。主讲《热力学与统计物理》，《高等统计物理》课程。
