1. Non-Hermitian tearing by dissipation.
- Author
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Du, Qian, Ma, Xin-Ran, and Kou, Su-Peng
- Abstract
In the paper, we study the non-Hermitian system under dissipation and give the effective 2 × 2 Hamiltonian in the k-space by reducing the N × N 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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