Electronic and optical properties of crystalline nitrogen versus black phosphorus: A comparative first-principles study

Crystalline black nitrogen (BN) is an allotrope of nitrogen with the black phosphorus (BP) structure recently synthesized at high pressure by two independent research groups [Ji et al., Sci. Adv. 6, eaba9206 (2020); Laniel et al., Phys. Rev. Lett. 124, 216001 (2020)]. Here, we present a systematic study of the electronic and optical properties of BN focusing on its comparison with BP. To this end, we use the state-of-the-art quasiparticle self-consistent GW approach with vertex corrections in both the electronic and optical channels. Despite many similarities, the properties of BN are found to be considerably different. Unlike BP, BN exhibits a larger optical gap (2.5 vs 0.26 eV), making BN transparent in the visible spectral region with a highly anisotropic optical response. This difference can be primarily attributed to a considerably reduced dielectric screening in BN, leading to enhancement of the effective Coulomb interaction. Despite relatively strong Coulomb interaction, exciton formation is largely suppressed in both materials. Our analysis of the elastic properties shows exceptionally high stiffness of BN, comparable to that of diamond.Funding Agencies|ERC Synergy Grant [854843 FASTCORR]; Knut and Alice Wallenberg Foundation (Wallenberg Scholar Grant) [KAW-2018.0194]; Swedish Government Strategic Research Areas in Materials Science on Functional Materials at Linkoping University [2009 00971]; Swedish e-Science Research Center (SeRC); Swedish Research Council (VR) [201905600]; VINN Excellence Center Functional Nanoscale Materials (FunMat-2) [201605156]; RFBR [20-02-00178]; U.S. Department of Energy, Office of Science, Basic Energy Sciences, Division of Chemical Sciences [DE-AC36-08GO28308]; Swedish Research Council [2016-07213]; PRACE; SURF Cooperative