Multilayers black phosphorus: from tight-binding to continuum description

Abstract

We investigate the electronic properties of $N$-layer black phosphorus by means of an analytical method based on a recently proposed tight-binding Hamiltonian involving $14$ hopping parameters. The method provides simple and accurate general expressions for the Hamiltonian of $N$-layer phosphorene, which are suitable for the study of electronic transport and optical properties of such systems, and the results show the features that emerge as the number of layers increases. In addition, we show that the $N$-layer problem can be translated into $N$ effective monolayer problems in the long wavelength approximation and, within this analytical picture, we obtain expressions for the energy gap and the effective masses for electrons and holes along the $N$-layer black phosphorus plane directions as function of the number of layers, as well as for the Landau levels as function of perpendicular magnetic field.

12 pages, 7 figures

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Cited by in corpus (16)

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• Optical conductivity of black phosphorus with a tunable electronic structure
• Twisted two-dimensional material stacks for polarization optics
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• Electronic structure of few-layer black phosphorus from $\mu$-ARPES
• Signatures of sub-band excitons in few-layer black phosphorus
• Phosphorene pnp junctions as perfect electron waveguides
• Electronic and transport properties of anisotropic semiconductor quantum wires
• Semiclassical Boltzmann transport theory of few-layer black phosphorus in various phases
• Plasmon modes in monolayer and double-layer black phosphorus under applied uniaxial strain
• Dirac spectrum in gated multilayer black phosphorus nanoribbons
• Semi-analytical model of the contact resistance in two-dimensional semiconductors
• Current-induced quasiparticle magnetic multipole moments
• Striped excitonic (super)solid in anisotropic semiconductors with screened exciton interactions
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap