8a.1. Consider an indirect band semiconductor whose conduction band minimum is at kx = ko along the X[100] direction. Assume that the energy along this direction is given by tight binding method: E = Eatom + a + y [2 cosa(k − kx) + 2 cosa(k − ky) + 2 cos a(k − k₂) ] - Y Show that the effective mass m* of a carrier at k = ko is given by: 1 1 0² m* ħ² ək² = = 2 -a² ħ²
8a.1. Consider an indirect band semiconductor whose conduction band minimum is at kx = ko along the X[100] direction. Assume that the energy along this direction is given by tight binding method: E = Eatom + a + y [2 cosa(k − kx) + 2 cosa(k − ky) + 2 cos a(k − k₂) ] - Y Show that the effective mass m* of a carrier at k = ko is given by: 1 1 0² m* ħ² ək² = = 2 -a² ħ²
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![8a.1. Consider an indirect band semiconductor whose conduction band minimum is at kx = ko along the
X[100] direction. Assume that the energy along this direction is given by tight binding method:
E = Eatom + a + y [2 cosa(k − kx) + 2 cosa(k − ky) + 2 cos a(k − k₂) ]
-
Y
Show that the effective mass m* of a carrier at k = ko is given by:
1
1 0²
m*
ħ² ək²
=
=
2
-a²
ħ²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92b098b1-776e-4b52-a881-73cea01a37f4%2F6cbb44b8-0fe2-417c-8824-d1071932958c%2Fbugez0q_processed.png&w=3840&q=75)
Transcribed Image Text:8a.1. Consider an indirect band semiconductor whose conduction band minimum is at kx = ko along the
X[100] direction. Assume that the energy along this direction is given by tight binding method:
E = Eatom + a + y [2 cosa(k − kx) + 2 cosa(k − ky) + 2 cos a(k − k₂) ]
-
Y
Show that the effective mass m* of a carrier at k = ko is given by:
1
1 0²
m*
ħ² ək²
=
=
2
-a²
ħ²
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