For an AlGaAs/GaAs heterojunction with n-AlGaAs doped to 2 × 1018 cm-3 and a thickness of 40 nm. Calculate the pinch-off voltage if the dielectric constant of the AlGaAs is 12.3.
46. For an AlGaAs/GaAs heterojunction with n-AlGaAs doped to 2 × 1018 cm-3 and a thickness of 40 nm. Calculate the pinch-off voltage if the dielectric constant of the AlGaAs is 12.3.
Solution
VP = (q ND d2) / (2ฮต)
Given: q = 1.6e-19, ND = 2e24 m⁻³, d = 40e-9 m, ฮต = 12.3* 8.854e-12 = 1.089e-10.
VP = (1.6e-19 ⋅ 2e24 ⋅ (40e-9)²) / (2 ⋅ 1.089e-10) ≈ 2.35 V.
Further Reading:
GATE EC Previous Year Papers with Solutions