Why does the resistance decreases with increase in temp for semi- conductors?

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SUMMARY

The resistance of semiconductors decreases with an increase in temperature due to the generation of more electron-hole pairs, which enhances conductivity. This phenomenon contrasts with metals, where increased temperature leads to greater scattering of existing charge carriers, resulting in higher resistance. The dominant effect in semiconductors is the availability of additional charge carriers, which outweighs the scattering effects present in metals.

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Why does the resistance decreases with increase in temp for semi- conductors?
 
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Essentially because there are more electron-hole pairs (which contribute to conduction) when temperature rises. This effect wins from the standard effect in metals which increases the probability of scattering and hence the slowing down of the carriers (very crude picture) with increasing temperature. In metals, the first effect is absent, as all or most of the carriers are already available.
 

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