期刊
PHYSICAL REVIEW B
卷 104, 期 16, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.165117
关键词
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资金
- JSPS KAKENHI [JP18J22113, JP21J01409]
- MEXT Elements Strategy Initiative to Form Core Research Center (TIES) [JPMXP0112101001]
This study explores the dependence of the localization length of eigenstates on system size in a specific non-Hermitian model with critical non-Hermitian skin effect. It analytically demonstrates the remarkable scale-free localization behavior of eigenstates in this model.
Non-Hermitian systems show a non-Hermitian skin effect, where the bulk states are localized at a boundary of the systems with open boundary conditions. In this paper, we study the dependence of the localization length of the eigenstates on a system size in a specific non-Hermitian model with a critical non-Hermitian skin effect, where the energy spectrum undergoes discontinuous transition in the thermodynamic limit. We analytically show that the eigenstates exhibit remarkable localization, known as scale-free localization, where the localization length is proportional to a system size. Our result gives theoretical support for the scale-free localization, which has been proposed only numerically in previous works.
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