Effect of flexural phonons on the hole states in single-layer black phosphorus

Abstract

Flexural thermal fluctuations in crystalline membranes affect the band structure of the carriers, which leads to an exponential density-of-states (DOS) tail beyond the unperturbed band edge. We present a theoretical description of this tail for a particular case of holes in single-layer black phosphorus, a material which exhibits an extremely anisotropic quasi-one-dimensional dispersion ($m_y/m_x\gg 1$) and, as a result, an enhanced Van Hove singularity at the valence band top. The material parameters are determined by {\it ab initio} calculations and then are used for quantitative estimation of the effect of two-phonon (flexural) processes have on the charge carrier DOS. It is shown that unlike the isotropic case, the physics is determined by the phonons with wavevectors of the order of $q^{\ast }$, where $q^{\ast }$ determines the crossover between harmonic and anharmonic behavior of the flexural phonons. The spectral density of the holes in single-layer black phosphorus at finite temperatures is calculated.

arXiv comment6 pages including appendix, 2 figures

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Cited by in corpus (4)

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• Strong anisotropic optical conductivity in two dimensional puckered structures: The role of Rashba effect
• Interplay between in-plane and flexural phonons in electronic transport of two-dimensional semiconductors
• Emergent continuous symmetry in anisotropic flexible two-dimensional materials