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<p>The bulk-disclination correspondence (BDC) is a fundamental concept in Hermitian systems that has been widely applied to predict disclination states. Recently, disclination states have also been observed and experimentally verified in non-Hermitian systems with <i>C</i><sub>6</sub> lattice symmetry, where gain and loss are introduced to induce non-Hermiticity. In this work, we theoretically establish and experimentally verify the non-Hermitian BDC in a non-Hermitian two-dimensional (2D) Su-Schrieffer-Heeger (SSH) disclination model. Together with the real-space disclination index, we predict the emergence of high-order topological disclination states in a <i>C</i><sub>4</sub>-symmetric non-Hermitian lattice and the corresponding fractional charge. We also generalize the symmetry indicator within the biorthogonal framework to predict the anomalous filling near the disclination core. We verify the theory in a non-Hermitian electrical circuit with non-reciprocal coupling, and experimentally observe higher-order boundary and disclination states with complex eigenfrequencies through the impedance matrix spectra.</p>

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Bulk-disclination correspondence in non-Hermitian circuits

  • 期刊论文

  • 发表日期：

    2026年4月27日

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  • Boyuan Li,
  • Zekun Huang,
  • Wenao Wang,
  • Jiaxi Wang,
  • Yu Chen,
  • Shaojie Ma,
  • Ce Shang,
  • Tie Jun Cui,
  • Shuo Liu

摘要

The bulk-disclination correspondence (BDC) is a fundamental concept in Hermitian systems that has been widely applied to predict disclination states. Recently, disclination states have also been observed and experimentally verified in non-Hermitian systems with C6 lattice symmetry, where gain and loss are introduced to induce non-Hermiticity. In this work, we theoretically establish and experimentally verify the non-Hermitian BDC in a non-Hermitian two-dimensional (2D) Su-Schrieffer-Heeger (SSH) disclination model. Together with the real-space disclination index, we predict the emergence of high-order topological disclination states in a C4-symmetric non-Hermitian lattice and the corresponding fractional charge. We also generalize the symmetry indicator within the biorthogonal framework to predict the anomalous filling near the disclination core. We verify the theory in a non-Hermitian electrical circuit with non-reciprocal coupling, and experimentally observe higher-order boundary and disclination states with complex eigenfrequencies through the impedance matrix spectra.