Abstract

Abstract We have performed ab initio theoretical calculations of the electronic structure and the linear optical susceptibilities for the pseudocubic compounds X 3 As 4 (X = C, Si, Ge, and Sn) using two approximations for the exchange correlation (XC) potentials: the generalized gradient approximation (GGA) by Perdew, Burke and Ernzerhof (PBE) and Engel–Vosko generalized gradient approximation (EVGGA) scheme. Our calculations show that the C 3 As 4 compound is metallic with density of states at the Fermi energy E F , N ( E F ) of 3.808 and 1.904 states/Ry-cell or a bare electronic specific heat coefficient of 0.660 and 0.330 mJ/mole-K 2 for GGA and EVGGA, respectively. The overlapping between the valence and conduction bands is strong resulting in metallic behavior. The EVGGA try to reduce the overlapping around E F by around the half value. Also we notice that the effect of EVGGA cause increase/reduce the peaks high and to make noticeable anisotropy between e 2 II ( ω ) and e 2 ⊥ ( ω ) for Ge 3 As 4 compound. We found that X-s/p and As-s/p/d states are controlled the overlapping around E F . The effect of using EVGGA over GGA on the density of states and linear optical properties is very pronounced. Detail comparison of our calculated partial density of states and the frequency dependent dielectric function with the available calculations were made. We hope that future experiments will help in deciding which calculation is better.

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