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

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The resistance of semiconductors decreases with increasing temperature due to the generation of more electron-hole pairs, which enhances conduction. This phenomenon outweighs the increased scattering of charge carriers that occurs in metals at higher temperatures. In metals, the number of available carriers does not significantly increase with temperature, leading to higher resistance. The contrasting behavior between semiconductors and metals highlights the unique properties of semiconductor materials. Understanding this relationship is crucial for applications in electronics and materials science.
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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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