https://doi.org/10.1140/epjb/s10051-024-00714-3
Regular Article - Solid State and Materials
Non-Hermitian tearing by dissipation
1
School of Physics and Electronic Engineering, Linyi University, 276000, Linyi, China
2
School of Physics and Astronomy, Beijing Normal University, 100875, Beijing, China
Received:
16
April
2024
Accepted:
22
May
2024
Published online:
24
June
2024
In the paper, we study the non-Hermitian system under dissipation and give the effective 
Hamiltonian in the k-space by reducing the 
Hamiltonian in the real space for them. It is discovered that the energy band shows an imaginary line gap. To describe these phenomena, we propose the theory of “non-Hermitian tearing” , in which the tearability we define reveals a continuous phase transition at the exceptional point. The non-Hermitian tearing manifests in two forms — separation of bulk state and decoupling of boundary state. In addition, we also explore the one-dimensional Su–Schrieffer–Heeger model and the Qi–Wu–Zhang model under dissipation using the theory of non-Hermitian tearing. Our results provide a theoretical approach for exploring the controlling of non-Hermitian physics on topological quantum states.
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