Video 8.1
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Concept development
In the initial approach to conductivity by Drude in 1900, he assumed there was some charged species which behaved like a classical gas in a solid. How does this picture break down when we turn to a quantum description of electrons in a solid?
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In 3D, phonons gave us a density of states that went up with frequency^2 but the DOS for electrons rises with E^1/2. What the source of this difference?
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Within the free electron model, is there a bound to the allowed values of the wavevector k? (recall that for phonons, the wavevector had to be within the first BZ) Is this surprising or expected?
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How about for the allowed values of energy? (Recall that phonons had a maximum energy)
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