Non-Hermitian tearing by dissipation

Qian Du, Xin-Ran Ma and Su-Peng Kou ()
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Qian Du: Linyi University
Xin-Ran Ma: Beijing Normal University
Su-Peng Kou: Beijing Normal University

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 6, 1-12

Abstract: Abstract In the paper, we study the non-Hermitian system under dissipation and give the effective $$2\times 2$$ 2 × 2 Hamiltonian in the k-space by reducing the $$N\times N$$ 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. Graphical abstract

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00714-3

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