收稿:2025-03-20,
修回:2025-06-04,
录用:2025-06-28,
网络出版:2025-08-15,
纸质出版:2025-12
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Changsheng He, Liang Zhao, Shuang Zhang, 等. Intrinsic topological hinge states induced by boundary gauge fields in photonic metamaterials[J]. eLight, 2025,5.
Changsheng He, Liang Zhao, Shuang Zhang, et al. Intrinsic topological hinge states induced by boundary gauge fields in photonic metamaterials[J]. eLight, 2025, 5.
Changsheng He, Liang Zhao, Shuang Zhang, 等. Intrinsic topological hinge states induced by boundary gauge fields in photonic metamaterials[J]. eLight, 2025,5. DOI: 10.1186/s43593-025-00097-7.
Changsheng He, Liang Zhao, Shuang Zhang, et al. Intrinsic topological hinge states induced by boundary gauge fields in photonic metamaterials[J]. eLight, 2025, 5. DOI: 10.1186/s43593-025-00097-7.
Higher-order topological insulators (HOTIs) can support boundary states at least two dimensions lower than the bulk
attracting intensive attention from both fundamental science and application sides. Lattice-based tight-binding models such as Benalcazar-Bernevig-Hughes model have driven significant advancements in realizing HOTIs across various physical systems. Here
beyond lattice model
we dem
onstrate that a cylinder with an arbitrary cross section
composed of a homogeneous electromagnetic medium featuring nontrivial second Chern numbers
<math id="IEq1_Math"><mrow><msub><mi>c</mi><mn>2</mn></msub><mo>=</mo><mo>±</mo><mn>1</mn></mrow></math>
$$${c}_{2}=\pm 1$$$
in a synthetic five-dimensional space
can exhibit topologically protected HOTI-type hinge states in three-dimensional laboratory space. Interestingly
this hinge state is essentially a chiral zero mode arising from the interaction between Weyl arc surface states
guaranteed by a nontrivial
<math id="IEq2_Math"><msub><mi>c</mi><mn>2</mn></msub></math>
$$${c}_{2}$$$
and an effective magnetic field induced by the curvature of the cylinder surface. Compared to conventional schemes to generate HOTIs
our approach is more robust
as it is an intrinsic topological phase and therefore does not rely on additional symmetry protections such as time-reversal
parity
or chi
ral symmetry. We experimentally realize such a cylinder using a photonic metamaterial and confirm the existence of hinge states via microwave near-field measurements. Our work introduces the concept of boundary gauge fields and establishes the link between synthetic-space
<math id="IEq3_Math"><msub><mi>c</mi><mn>2</mn></msub></math>
$$${c}_{2}$$$
and real-space HOTI states
thereby generalizing HOTIs to corner-less systems.
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