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Non-Hermitian tearing by dissipation

Author

Listed:
  • Qian Du

    (Linyi University)

  • Xin-Ran Ma

    (Beijing Normal University)

  • Su-Peng Kou

    (Beijing Normal University)

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

Suggested Citation

  • Qian Du & Xin-Ran Ma & Su-Peng Kou, 2024. "Non-Hermitian tearing by dissipation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-12, June.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:6:d:10.1140_epjb_s10051-024-00714-3
    DOI: 10.1140/epjb/s10051-024-00714-3
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    References listed on IDEAS

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    1. Linhu Li & Ching Hua Lee & Sen Mu & Jiangbin Gong, 2020. "Critical non-Hermitian skin effect," Nature Communications, Nature, vol. 11(1), pages 1-8, December.
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