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Based on theoretical understanding, the concept that the lower power supply voltage limit can be simply expressed by 1.1E/sub c/L/sub eff/, where E/sub c/ is the critical electric field necessary to cause carrier velocity saturation and L/sub eff/ is the effective channel length, is introduced. Experimental results confirmed that 1.1E/sub c/L/sub eff/ predicts a good guideline for power-supply voltage for CMOS devices over a wide range of gate oxide thickness (7-45 nm) and design rule (0.3-2.0 mu m). On the basis of theoretical models and experimental results, trends for power-supply voltage with MOS device scaling are demonstrated. It is shown that 1.1E/sub c/L/sub eff/ can be regarded as the lower power-supply voltage limit in order to maintain the improvement in delay time for below 0.6- mu m channel length at reduced power supply. The transconductance behavior for a MOSFET under high electric fields was investigated in order to explain the physical meaning of 1.1E/sub c/L/sub eff/.>
Kakumu et al. (Mon,) studied this question.
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