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非厄米能带理论: 从一维到高维
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主讲人: 汪忠(清华大学)
地点: 新普京澳门娱乐场网站站app物理楼,西563会议室
时间: 2023年4月26日 (星期三)15:00
主持 联系人: 宋志达<songzd@pku.edu.cn>
主讲人简介: 汪忠, 清华大学高等研究院教授。2005年本科毕业于中国科学技术大学,2011年于中科大近代物理系获博士学位;2009-2010年访问斯坦福大学;2011年至今在清华高研院工作。主要研究方向为拓扑物态与拓扑现象, 强关联体系, 以及非厄米物理。

摘要:

Many aspects of non-Hermitian systems are not well described in the framework of Bloch band theory. The non-Bloch band theory, in which the concept of Brillouin zone is generalized, has been widely applied to study non-Hermitian systems in one spatial dimension. However, its generalization to higher dimensions has been challenging. Here, we introduce a formulation of non-Hermitian band theory in arbitrary spatial dimensions, which is based on a natural geometrical object known as the amoeba. This theory provides a general framework for studying non-Hermitian bands beyond one dimension. Key quantities of non-Hermitian bands, including the energy spectrum, eigenstates profiles, and the generalized Brillouin zone, can be efficiently obtained from this approach.

Reference: H.-Y. Wang, F. Song, Z. Wang, arXiv:2212.11743