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- 저자 : Jindi Wei (검색결과 1 건)
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Jindi Wei,Gengmin Zhang,Yingjie Xing,Jin Yang,Wensheng Zhou 성균관대학교(자연과학캠퍼스) 성균나노과학기술원 2019 NANO Vol.14 No.8
The electric field on a hemisphere-on-post nanowire is numerically calculated using the finite element method (FEM). The FEM calculation results show that the field is sufficiently strong for extracting a significant field emission current only in a small area at the top of the hemisphere, while the contribution to the field emission from the other part of the hemisphere and the flank side of the cylinder is negligible owing to the rapid drop of the electric field. Both the local current density at the top of the hemisphere (Jc) and the average current density across the nanowire cross-section (Ja) are calculated and the Ja-to-Jc ratio (α) is introduced to reflect the non-uniformity of the field emission. An empirical formula with proper parameters that can best fit the simulation results is derived for describing the dependence of α on the macroscopic electric field (Fm). As a result, the Ja–Fm relationship is attained and the revision to the traditional Fowler–Nordheim (FN) formula caused by the nonuniformity of field distribution is found in both the pre-exponent part and the exponent part, so that the deviation of the FN plots from linearity often observed in experiments is partly accounted for. Moreover, the resistance at the emitter-substrate interface is shown to cause saturation in the field emission current and a downward bending of the FN plot in the high-field region.
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