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arXiv · 2407.05097

$\mathcal{PT}$-symmetric photonic lattices with type-II Dirac cones

Qian Tang·Milivoj R. Belić·Hua Zhong·Meng Cao·Yongdong Li·Yiqi Zhang
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Abstract

The type-II Dirac cone is a special feature of the band structure, whose Fermi level is represented by a pair of crossing lines. It has been demonstrated that such a structure is useful for investigating topological edge solitons, and more specifically, for mimicking the Kline tunneling. However, it is still not clear what the interplay between type-II Dirac cones and the non-Hermiticity mechanism will result in. Here, this question is addressed; in particular, we report the $\mathcal{PT}$-symmetric photonic lattices with type-II Dirac cones for the first time. We identify a slope-exceptional ring and name it the type-II exceptional ring. We display the restoration of the $\mathcal{PT}$ symmetry of the lattice by reducing the separation between the sites in the unit cell. Curiously, the amplitude of the beam during propagation in the non-Hermitian lattice with $\mathcal{PT}$ symmetry only decays because of diffraction, whereas in the $\mathcal{PT}$ symmetry-broken lattice it will be amplified, even though the beam still diffracts. This work establishes the link between the non-Hermiticity mechanism and the violation of Lorentz invariance in these physical systems.

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Qian Tang, Milivoj R. Belić, Hua Zhong, Meng Cao, Yongdong Li, Yiqi Zhang. 2024-07-06. $\mathcal{PT}$-symmetric photonic lattices with type-II Dirac cones. https://doi.org/10.1364/ol.530600

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