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EXAMPLE 17: Full.Coupled Diffusion 312 SUPREM-IV.GS – 2D ...

EXAMPLE 17: Full.Coupled Diffusion 312 SUPREM-IV.GS – 2D ...

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<strong>EXAMPLE</strong> <strong>17</strong>: <strong>Full</strong>.<strong>Coupled</strong> <strong>Diffusion</strong><br />

diffuse time=.00001 temp=800 argon<br />

In this first diffusion step, a short time anneal is done to establish the equi-<br />

librium defect concentrations in case you want to plot the initial values of<br />

these (since they are temperature dependent). In the second diffuse state-<br />

ment:<br />

diffuse time=15 temp=800 continue argon<br />

the continue parameter is used to maintain the initial defect values. There-<br />

fore, the initial diffuse uses the fermi method, and the defect levels are ini-<br />

tially set at their equilibrium values. (Since the interstitials are set at the +1<br />

charge state, the equilibrium interstitial concentration is fermi level depen-<br />

dent and therefore the initial interstitial profile follows the beryllium pro-<br />

file). The main diffusion step uses the full.cpl method. The dopant/defect<br />

pairing parameters are specified by the following statements.<br />

interstitial gaas beryllium neu.0=0 pos.0=0 neg.0=0<br />

dneg.0=0 dpos.0=0<br />

interstitial gaas beryllium tneg.0=0 tpos.0=0<br />

These are all normally set to 0 if one assumes that the pair concentration is<br />

much less than the defect concentration (non-equilibrium levels of defects<br />

will still occur, since the defect flux equation in the full-coupled mode still<br />

takes into account the extra defects produced by the diffusion process). In<br />

Figure 1, the as-implanted and diffused beryllium and interstitial profiles<br />

generated are shown. One can see that, compared to Example 13, a kink in<br />

the profile occurs due to this defect non-equilibrium effect. If one increas-<br />

es the interstitial diffusivity in the statement:<br />

interstitial gaas D.0=5e-14 D.E= 0.<br />

from 5 10 -14 to 1 10 -11 for example, the interstitials are able to diffuse<br />

back to their equilibrium levels everywhere, and normal “Example 13<br />

type” diffusion occurs.<br />

<strong>SUPREM</strong>-<strong>IV</strong>.<strong>GS</strong> <strong>–</strong> <strong>2D</strong> Process Simulation for Si and GaAs 311

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