Abstract
Black phosphorus exhibits a high degree of band anisotropy. However, we find that its in-plane static screening remains relatively isotropic for momenta relevant to elastic long-range scattering processes. On the other hand, the collective electronic excitations in the system exhibit a strong anisotropy. Band nonparabolicity, due to interband couplings, leads to a plasmon frequency which scales as nβ, where n is the carrier concentration, and β<1/2. Screening and charge distribution in the out-of-plane direction are also studied using a nonlinear Thomas-Fermi model.
Highlights
Black phosphorus exhibits a high degree of band anisotropy
For a BP sample of thickness d, the electrostatic potential VðzÞ and the carrier distribution nðzÞ as a function of the distance from the substrate z can be obtained from the energetic balance between kinetic and interlayer capacitance terms, which leads to the nonlinear differential equation [33]
We show the results for different carrier concentrations n0. (b) Normalized surface-charge distribution nðzÞ induced in a 13 nm thick sample for different gate carrier densities n0 as stated
Summary
Black phosphorus exhibits a high degree of band anisotropy. we find that its in-plane static screening remains relatively isotropic for momenta relevant to elastic long-range scattering processes. Due to interband couplings, leads to a plasmon frequency which scales as nβ, where n is the carrier concentration, and β < 12. Screening and charge distribution in the out-of-plane direction are studied using a nonlinear Thomas-Fermi model.
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