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characterization, modeling, and design of esd protection circuits

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122 Chapter 4. Simulation: Calibration <strong>and</strong> Results<br />

CGS decreases, then the slope <strong>of</strong> the Rsb vs. CGS curve should be lower at low CGS,<br />

implying that Rsb is really positive as CGS approaches zero, as it must be. To determine<br />

what parameters do in fact play a role, experiments <strong>and</strong> simulations need to be run on<br />

structures with lower contact-to-gate spacing. However, interpolating values <strong>of</strong> Rsb for<br />

CGS between 3µm <strong>and</strong> 8µm should be a safe practice.<br />

In 2D simulations, any resistance is inversely proportional to device width because the<br />

simulations are effectively normalized in the width dimension. However, Fig. 4.46 shows<br />

that for real structures the extracted snapback resistance is not proportional to the inverse<br />

device width for widths greater than 50µm. Once again, this is a result <strong>of</strong> device heating<br />

<strong>and</strong> the consequent increase in device resistance at high current levels. For a given current<br />

density, heating is more severe in a wider structure because the center <strong>of</strong> the device is farther<br />

away from the structure edges where heat can be dissipated. Therefore, the extracted<br />

snapback resistance for wide devices is higher than predicted by the narrow-width line fit.<br />

R sb / Ω<br />

20<br />

16<br />

12<br />

8<br />

4<br />

0 0.00 0.01 0.02 0.03 0.04<br />

1 / (Gate Width / µm)<br />

382 Ω-µm<br />

0.05<br />

Fig. 4.46 Experimental snapback resistance, Rsb , (connected points) vs. inverse gate<br />

width, W, for 0.75µm test structures. The dashed line indicates that<br />

Rsb × W = 382Ω-µm for gate widths less than 50µm.

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