2009
DOI: 10.1088/0953-8984/22/1/015502
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The influence of exact exchange corrections in van der Waals layered narrow bandgap black phosphorus

Abstract: We study the electronic structure of black phosphorus by combining state-of-the-art density functional theory, multiple scattering calculations and electron energy loss spectroscopy. The hybrid functionals HSE03 and PBE0 are tested to investigate whether they give an improved description compared to the more traditional PZ-LDA and PBE-GGA functionals. These calculations are compared with investigations of the conduction band using electron energy loss spectroscopy and calculations based on the real-space multi… Show more

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Cited by 41 publications
(29 citation statements)
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“…1. We considered fivelayer slabs of black phosphorus (black P), blue phosphorus (blue P), δ phosphorus (δ-P) and γ phosphorus (γ-P) [24,25,[52][53][54] with no relative in-plane displacements nor rotational faults. The fundamental band gap, and the optimum inter-layer separation l defined in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…1. We considered fivelayer slabs of black phosphorus (black P), blue phosphorus (blue P), δ phosphorus (δ-P) and γ phosphorus (γ-P) [24,25,[52][53][54] with no relative in-plane displacements nor rotational faults. The fundamental band gap, and the optimum inter-layer separation l defined in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…A failure of the LDA can be observed when examining the electronic structure. In the context of the prediction of an enourmosly dense packing of the phosphorus layers, it incorrectly describes orthorhombic black phosphorus as semimetallic (a closed band gap using the LDA functional is also reported in [50]). While the GGA-calculated band gap of 0.70 eV is too large, the GGA-D2-calculated band gap of 0.25 eV is very close to experimental values of about 0.30-0.35 eV [67,68] for black phosphorus.…”
Section: Resultsmentioning
confidence: 99%
“…Furthermore, the functionals were evaluated for black phosphorus in terms of electronic structure calculations [50,51]. Dispersion-corrected atom-centered potentials (DCACPs), which are well-suited for the combination with the GGA/PBE, were also reported to improve the calculations for black and white phosphorus [52].…”
Section: Methodsmentioning
confidence: 99%
“…BP has a direct bandgap for all number of layers, predicted from 0.3 eV for bulk to 2 eV for monolayer [25][26][27][28] . This characteristic leads to remarkable applications for BP-based optoelectronic devices 24,29 .…”
mentioning
confidence: 99%