典型文献
Complex energy plane and topological invariant in non-Hermitian systems
文献摘要：
Non-Hermitian systems as theoretical models of open or dissipative systems exhibit rich novel physical properties and fundamental issues in condensed matter physics.We propose a generalized local-global correspondence between the pseudo-boundary states in the complex energy plane and topological in-variants of quantum states.We find that the patterns of the pseudo-boundary states in the complex energy plane mapped to the Brillouin zone are topological invariants against the parameter defor-mation.We demonstrate this approach by the non-Hermitian Chern insulator model.We give the consistent topological phases obtained from the Chern number and vorticity.We also find some novel topological invariants embedded in the topological phases of the Chern insulator model,which enrich the phase diagram of the non-Hermitian Chern insulators model beyond that predicted by the Chern number and vorticity.We also propose a generalized vorticity and its flipping index to understand physics behind this novel local-global correspondence and discuss the relationships between the local-global correspondence and the Chern number as well as the transformation between the Brillouin zone and the complex energy plane.These novel approaches provide insights to how topological invariants may be obtained from local information as well as the global property of quantum states,which is expected to be applicable in more generic non-Hermitian systems.
文献关键词：
中图分类号：
作者姓名：
Annan Fan;Shi-Dong Liang
作者机构：
School of Physics,Sun Yat-Sen University,Guangzhou 510275,China;State Key Laboratory of Optoelectronic Material and Technology,and Guangdong Province Key Laboratory of Display Material and Technology,Sun Yat-Sen University,Guangzhou 510275,China
文献出处：
引用格式：
[1]Annan Fan;Shi-Dong Liang-.Complex energy plane and topological invariant in non-Hermitian systems)[J].物理学前沿,2022(03):63-75
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