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Updated: Apr 16, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
Published on: August 5, 2013
Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems.
Hongya Xu1, Liang Huang1, Ying-Cheng Lai2
11] School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA [2] School of Physical Science and Technology and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University, Lanzhou, Gansu 730000, China.
Persistent currents in Dirac materials are robust against classical chaos, unlike those in Schrödinger systems. These superpersistent currents arise from relativistic quantum states called Dirac whispering gallery modes.
Area of Science:
- Quantum physics
- Condensed matter physics
- Materials science
Background:
- Persistent currents (PCs) are a manifestation of the Aharonov-Bohm (AB) effect.
- PCs typically vanish for Schrödinger particles with classical chaos.
- Two-dimensional Dirac materials have garnered significant research interest.
Purpose of the Study:
- Investigate the robustness of PCs in Dirac fermions within relativistic quantum rings.
- Explore the impact of classical chaos on these currents.
- Identify the underlying quantum states responsible for observed phenomena.
Main Methods:
- Theoretical investigation of relativistic quantum Aharonov-Bohm rings.
- Analysis of systems threaded by magnetic flux.
- Examination of classical chaos in asymmetric ring geometries.
Main Results:
- Persistent currents (PCs) in Dirac fermions are highly robust against random scatterings and classical chaos.
- These robust currents are termed superpersistent currents (SPCs).
- SPCs are attributed to Dirac whispering gallery modes (WGMs), relativistic quantum states confined to boundaries with large angular momentum.
Conclusions:
- Superpersistent currents and Dirac whispering gallery modes are key features of relativistic quantum systems.
- An experimental scheme using topological insulators is proposed for observation.
- These findings may pave the way for novel relativistic qubit systems.
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