3. Find the expression for the imaginary part of the wave vector in the energy gap at the boundary of the FBZ, in the tight binding approximation. Give the result for the Im{k} at the center of the energy gap. The result for small Im{k} is ħ²/2mIm{k}²2mU²/ħ²G²

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3. Find the expression for the imaginary part of the wave vector in the energy gap at
the boundary of the FBZ, in the tight binding approximation. Give the result for the
Im{k} at the center of the energy gap. The result for small Im{k} is
ħ²/2mIm{k}²2mU²/ħ²G²
Transcribed Image Text:3. Find the expression for the imaginary part of the wave vector in the energy gap at the boundary of the FBZ, in the tight binding approximation. Give the result for the Im{k} at the center of the energy gap. The result for small Im{k} is ħ²/2mIm{k}²2mU²/ħ²G²
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