Multilayer black phosphorus as a versatile mid-infrared electro-optic material
Charles Lin, Roberto Grassi, Tony Low, and Amr S. Helmy

TL;DR
This paper explores the electro-optic properties of black phosphorus thin films for mid-infrared optical modulation, revealing tunable absorption shifts and proposing a BP-based modulator with improved efficiency over graphene.
Contribution
It introduces a detailed analysis of electro-absorption mechanisms in black phosphorus and demonstrates a BP-based modulator design with enhanced performance in the mid-infrared range.
Findings
Electric field induces tunable absorption edge shifts in BP.
BP-based modulator shows improved absorption and power efficiency.
Quantum-confined Franz-Keldysh effect is key to BP's electro-optic response.
Abstract
We investigate the electro-optic properties of black phosphorus (BP) thin films for optical modulation in the mid-infrared frequencies. Our calculation indicates that an applied out-of-plane electric field may lead to red-, blue-, or bidirectional shift in BP's absorption edge. This is due to the interplay between the field-induced quantum-confined Franz-Keldysh effect and the Pauli-blocked Burstein-Moss shift. The relative contribution of the two electro-absorption mechanisms depends on doping range, operating wavelength, and BP film thickness. For proof-of concept, simple modulator configuration with BP overlaid over a silicon nanowire is studied. Simulation result shows that operating BP in the quantum-confined Franz-Keldysh regime can enable improved maximal attainable absorption as well as power efficiency compared to its graphene counterpart.
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