Question: a filled band does not conduct while a partially filled (or partially empty) band is conducting. Let's work out step by step. (a) (60%)

a filled band does not conduct while a partially filled (or partially empty) band is conducting. Let's work

a filled band does not conduct while a partially filled (or partially empty) band is conducting. Let's work out step by step. (a) (60%) If we apply an electric field on a filled band as follows, is there any net current (i.e. current is zero or not)? k (b) (60%) Now we have a band with few electrons gaining energy and jumping up to a higher energy band (conduction band), leaving empty spots called holes. Based on the lecture (slide # 76), for holes with positive momentum (k's), there are holes with equivalent momentum, but opposite direction (negative k's) to cancel out the net momentum (i.e. Eholes Vi = 0), why would I say holes are conducting? The answer is to apply an electric field as (a). At this point, would the net velocity (momentum) be zero? Please show that the net velocity is nonzero. IN N

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