What is the significance of overlap in energy bands?

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The discussion focuses on understanding the significance of overlapping energy bands in materials, particularly in the context of semiconductors and metals. The user seeks clarification on a specific figure that illustrates how materials with two valence electrons can conduct electricity if their filled band overlaps with an empty band. It is clarified that the overlap occurs between the valence band and the conduction band, indicating the absence of a bandgap, which is characteristic of metals. This overlap allows for high conductivity, distinguishing these materials from insulators and typical semiconductors. Understanding this concept is crucial for grasping the behavior of different materials in semiconductor physics.
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Homework Statement


I'm using http://ece-www.colorado.edu/~bart/book/" to understand my course on semiconductor physics better. In paragraph 2.3.4, the difference between insulators, semiconductors, metals is explained, based on the differences in bands. I understand the basic model.

What I don't understand, is figure 2.3.7 b) :
fig2_3_7.gif


Materials consisting of atoms that contain two valence electrons can still be highly conducting if the resulting filled band overlaps with an empty band. This scenario is shown in b).

How should I visualize this? Which bands are overlapping? Are these two valence bands overlapping? (As is the case in most semiconductors) Or is this the overlapping of a valence band and a conduction band - hence, is there no bandgap then? Is this the behaviour of a metal?

Many thanks already,

tsu
 

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I think it is the valence band that overlaps the conducting band, of the entire solid of course. These "bands" are for the solid as a whole, not for individual atoms.
 
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