Electrons and holes in phosphorene

Abstract

We present a symmetry analysis of electronic bandstructure including spin-orbit interaction close to the insulating gap edge in monolayer black phosphorus ('phosphorene'). Expressions for energy dispersion relation and spin-dependent eigenstates for electrons and holes are found via simplification of a perturbative expansion in wavevector $k$ away from the zone center using elementary group theory. Importantly, we expose the underlying symmetries giving rise to substantial anisotropy in optical absorption, charge and spin transport properties, and reveal the mechanism responsible for valence band distortion and possible lack of a true direct gap.

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• Spin-orbit coupling and spin relaxation in phosphorene: Intrinsic versus extrinsic effects
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• Probing the anisotropic behaviors of black phosphorus by transmission electron microscope, angular-dependent Raman spectra and electronic transports measurements
• Role of Interlayer Coupling on the Evolution of Band Edges in Few-Layer Phosphorene
• $k\cdot p$ theory for phosphorene: Effective g-factors, Landau levels, and excitons
• Screening and plasmons in pure and disordered single- and bilayer black phosphorus
• Interlayer Coupling in Two-Dimensional Semiconductor Materials
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• Boundary conditions for phosphorene nanoribbons in the continuum approach
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• Extrinsic Spin-Orbit Coupling and Spin Relaxation in Phosphorene
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• Proximity-induced spin-orbit coupling in phosphorene on a WSe${}_2$ monolayer
• Spin-orbit coupling effects in single-layer phosphorene
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• Proximity-enabled control of spin-orbit coupling in phosphorene symmetrically and asymmetrically encapsulated by WSe${}_2$ monolayers
• Intercalated phosphorene for improved spintronic applications
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Exchange effect and magneto-plasmon mode dispersion in an anisotropic two-dimensional electronic system