Abstract

In this paper, we investigate the dynamically tunable plasmon-induced transparency (PIT) effects in parallel black phosphorus nanoribbons (BPNRs). The proposed structures consist of several parallel BPNRs having different lengths in one transverse period. The periods of all proposed structures are set as \(P = 500 \, nm\). To our best knowledge, these proposed structures have not been reported in published papers. It is the first time that simulates PIT effects by this way. The results show that the BPNRs can be regarded as bright modes. Single-band, double-band, triple-band, and multi-band PIT effects based on the bright-bright mode coupling between parallel BPNRs are achieved. The physical mechanism of the single-band model can be explained theoretically by the radiating two-oscillator (RTO) model. Due to the heavier effective mass in the zigzag (ZZ) direction of the BP, the frequencies of the transparent peaks are shifted to lower frequencies when the placement directions of BPNRs are changed from the X-direction to the Y-direction. Furthermore, the resonant frequencies of the transparent windows in each model can be tuned by changing the relaxation rates of the BPNRs. The frequencies of the transparent windows are blue-shifted as the relaxation rates are increased. Finally, the corresponding sensors based on single-band PIT effect show high sensitivities of 7.35 THz/RIU. Our study has potential applications for improving the design of multiple-band filters, sensors, and on–off switcher.

Highlights

  • Plasmon-induced transparency (PIT), an electromagnetically-induced transparency (EIT)-like optical effect in metamaterials, is caused by the coupling between the bright mode and dark mode or the bright mode and bright mode [1]

  • All the black phosphorus nanoribbons (BPNRs) in first and second layers exhibit typical Lorentz line-shaped resonances; the BPNRs can be regarded as bright modes that are excited by the incident light

  • It is observed that the transmission dips of the PIT spectra are close to the initial resonant modes of the BPNRs

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Summary

Introduction

Plasmon-induced transparency (PIT), an electromagnetically-induced transparency (EIT)-like optical effect in metamaterials, is caused by the coupling between the bright mode and dark mode or the bright mode and bright mode [1]. A single-band PIT effect is produced by the bright-bright mode coupling between the BPNRs in first and second layers.

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