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Octupole corner state in a three-dimensional topological circuit.
Shuo Liu1,2, Shaojie Ma1,2, Qian Zhang3
1Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, 518060 Shenzhen, China.
Researchers experimentally observed three-dimensional octupole corner modes in an electrical circuit, a new type of higher-order topological insulator (HOTI) state. This finding opens avenues for exploring complex topological phenomena in novel material platforms.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Electrical Engineering
Background:
- Higher-order topological insulators (HOTIs) exhibit unique topological properties, including quantized bulk polarizations and localized zero-dimensional (0D) corner states.
- While 0D corner states have been observed in 2D systems (quadrupole, dipole modes), 3D octupole corner modes remain experimentally unobserved due to design and construction challenges.
Purpose of the Study:
- To experimentally investigate octupole topological phases in a 3D system.
- To demonstrate the existence and topological protection of 0D corner states in a 3D higher-order topological electrical circuit.
Main Methods:
- Utilized a 3D electrical circuit lattice, analogous to a cubic Hofstadter model with 𝜋-flux per plaquette.
- Experimentally characterized the circuit to identify and confirm the presence of a localized 0D corner state.
Main Results:
- Successfully observed a 0D corner state in the 3D electrical circuit, manifesting as a distinct localized impedance peak.
- Confirmed that the observed corner state is induced by the bulk octupole moment and is topologically protected by anticommuting spatial symmetries.
Conclusions:
- This work provides the first experimental observation of 3D octupole corner modes in an electrical circuit.
- The developed circuit platform offers a novel system for studying higher-order topological effects in three dimensions.
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