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Fig. 1: (a) AFM and (b) FESEM images of silicon diode with 35 nm gap width The lateral diodes are varied only in gap width; the emitter geometries are controlled and are kept constant during the electrical measurement. The radius curvature of the apex is set to 60 nm. The two devices with different gap widths of 35 and 55 nm were separately considered for FE under similar vacuum environments of lower than 10–9 Torr [10, 14]. The I–V characteristic was determined for each device and the results were compared. The lateral emitter was designed to have a high geometrical aspect ratio with a small curvature radius of the emitter tip. The emission current of the various emitters is related to the modified F–N equation.
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Log (I/V2) = log (a) + 0. 434 (- b/V) (1) where , φ is work function in eV, A is emitting area in cm2and β is the field enhancement factor (in cm–1), which depends on electrode shape. Fig. 2: (a) I-V curves of the field emission for different distance d (b)Corresponding F-N plots The effect of varying the gap width is reflected in the I–V characteristics, with a clear reduction in the turn-on voltage as the anode–cathode gap decreases (Fig. 2). The Si lateral diode with 55 nm and 35 nm gap width exhibits turn-on voltages of 21 and 16 V, respectively. The I–V characteristics of the devices are graphically presented in Fig. 2a. The anode current of approximately 6 µA was obtained at 32 to 33 V for the 35 and 50 nm gap widths, respectively. These results show that the emission current rapidly increases after the turn-on voltage is applied. The emission current from the lateral emitters is consistent with the F–N behavior, as shown in Fig. 2b. When the gap width between the emitter and the anode electrode decreases, the electric field increases . The high electric field decreases the potential barrier at the surface; thus, the electrons can tunnel from inside the semiconductor to the vacuum [5, 16]. For narrowed nano-gaps from 55 to 35 nm, therefore, the turn-on voltage decreases from 21 to 16 V. The value of β was determined from the F–N plot slope. The β and A values for a gap width of 55 nm are 0. 58 × 107 cm–1 and 3. 35 × 10–18 cm2, respectively (Fig. 2b). Our results indicate that β decreases and the emitting area increases with increasing gap width. Conclution Round-tip emitters with nanoscale gaps of 35 to 55 nm were fabricated by advanced nanofabrication technology based on AFM nanolithography and wet etching. I-V characteristics show that the gap width of electrodes is effective parameters in lateral silicon field emission diodes. For the narrowed nano-gaps from 55 nm to 35 nm, the turn-on voltage decreased from 21 V to 16 V. Refrences.
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