Consider an intrinsic two-dimensional semiconductor in the form of a square lattice with lattice constant a. The system can be described by nearly free electrons in a weak potential V(r) in real space and V(G) in reciprocal space. Do all the necessary calculations to explore the band structure near 1st Brillouin zone boundary in the reciprocal space. You are also required to investigate the band structure at G = (0, 2nt/a), and G = (2t/a, 2n/a). Also following data may be useful: (i) V(27/a, 2/a) = 0; V(0, 2r/a) = Vo (ii) V(27/a, 2va) = V ı; V(0, 27/a) = 0

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Consider an intrinsic two-dimensional semiconductor in the form of a square lattice with lattice constant
a. The system can be described by nearly free electrons in a weak potential V(r) in real space and V(G) in
reciprocal space.
Do all the necessary calculations to explore the band structure near 1st Brillouin zone boundary in the
reciprocal space. You are also required to investigate the band structure at G = (0, 2t/a), and G = (2t/a,
2n/a). Also following data may be useful:
(i)
V(27/a, 2r/a) = 0; V(0, 2r/a) = Vo
(ii)
V(27/a, 2rva) = V1; V0, 27/a) = 0
Transcribed Image Text:Consider an intrinsic two-dimensional semiconductor in the form of a square lattice with lattice constant a. The system can be described by nearly free electrons in a weak potential V(r) in real space and V(G) in reciprocal space. Do all the necessary calculations to explore the band structure near 1st Brillouin zone boundary in the reciprocal space. You are also required to investigate the band structure at G = (0, 2t/a), and G = (2t/a, 2n/a). Also following data may be useful: (i) V(27/a, 2r/a) = 0; V(0, 2r/a) = Vo (ii) V(27/a, 2rva) = V1; V0, 27/a) = 0
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