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arXiv · 2607.04646

Non-Hermitian Dirac Vortex: Minimal Theory for Topological-Cavity Surface-Emitting Laser

Zong-Liang Li·Guang-Rui Li·Le-Chen Yang·Zhong Wang·Ling Lu
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Abstract

We construct a non-Hermitian Dirac-vortex model that combines a complex-mass winding with an infinite-imaginary-potential boundary, extending the Jackiw-Rossi and neutrino-billiard models to the dissipative regime. Moreover, this model serves as a minimal theory for the recently proposed topological-cavity surfaceemitting laser (TCSEL): the imaginary mass encodes vertical radiation loss and the absorbing boundary defines the active region. We derive closed-form expressions for the modal frequencies, thresholds, and tunable vectorbeam polarizations, which are validated experimentally. Our work provides a rare example in which an analytical non-Hermitian topological theory captures the essential physics for engineering practical optoelectronic devices.

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Zong-Liang Li, Guang-Rui Li, Le-Chen Yang, Zhong Wang, Ling Lu. 2026-07-06. Non-Hermitian Dirac Vortex: Minimal Theory for Topological-Cavity Surface-Emitting Laser. https://arxiv.org/abs/2607.04646

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