Optical conductivity of black phosphorus with a tunable electronic structure

Abstract

Black phosphorus (BP) is a two-dimensional layered material composed of phosphorus atoms. Recently, it was demonstrated that external perturbations such as an electric field close the band gap in few-layer BP, and can even induce a band inversion, resulting in an insulator phase with a finite energy gap or a Dirac semimetal phase characterized by two separate Dirac nodes. At the transition between the two phases, a semi-Dirac state appears in which energy disperses linearly along one direction and quadratically along the other. In this work, we study the optical conductivity of few-layer BP using a lattice model and the corresponding continuum model, incorporating the effects of an external electric field and finite temperature. We find that the low-frequency optical conductivity scales a power law that differs depending on the phase, which can be utilized as an experimental signature of few-layer BP in different phases. We also systematically analyze the evolution of the material parameters as the electric field increases, and the consequence on the power-law behavior of the optical conductivity.

arXiv comment14 pages, 11 figures

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• Comparison of Optical Response from DFT Random Phase Approximation and Low-Energy Effective Model: Strained Phosphorene
• Nonlinear magnetotransport in a two-dimensional system with merging Dirac points
• Chirality and correlations in the spontaneous spin-valley polarization of rhombohedral multilayer graphene
• Power law decay of local density of states oscillations near a line defect in a system with semi-Dirac points
• Optical conductivity as a probe of the interaction-driven metal in rhombohedral trilayer graphene
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• Tunable quantum interference effect on magnetoconductivity in few-layer black phosphorus
• Anomalous impurity-induced charge modulations in black phosphorus
• Diffusive density response of electrons in anisotropic multiband systems