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Band Structure Calculation Through K.P method

Band Structure calculation

tonmoy
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Band Structure Calculation Through K.P method

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  1. Determination of Band-Structure and Absorption Coefficient through k.p method PREPARED FOR COURSE Selected Topics in Electrical and Electronic Engineering EEE 6002 Tonmoy Kumar Bhowmick (0412062260) Department of Electrical and Electronic Engineering Bangladesh University of Engineering and Technology

  2. Organization: Motivation Theoretical Background Numerical Simulation and Results

  3. Why Band-Structure Calculation?

  4. Why k.p method Allows to extrapolate the band structure of materials from the knowledge of a restricted set of parameters evaluated in correspondence of a single point of the reciprocal space. semi-empirical approach

  5. Structure Used

  6. Theoretical Background Bloch function The k · p method in homogeneous crystals:

  7. Schrodinger equation

  8. Time-independent perturbation theory

  9. Degenerate perturbed states

  10. If the unperturbed energy bands are degenerate

  11. A Simple Example

  12. spin-orbit interaction

  13. Introduction to hetero structure

  14. Envelope Function Boundary Conditions

  15. Optical Transition

  16. Result

  17. Chuang, S. L., and C. S. Chang. "Effective‐mass Hamiltonian for strained wurtziteGaN and analytical solutions." Applied physics letters 68.12 (1996): 1657-1659. • Yeo, Yee Chia, et al. "Electronic band structures and optical gain spectra of strained wurtziteGaN-Al< sub> x</sub> Ga< sub> 1-x</sub> N quantum-well lasers." Quantum Electronics, IEEE Journal of 34.3 (1998): 526-534.

  18. Chuang, S. L., and C. S. Chang. "Effective‐mass Hamiltonian for strained wurtziteGaN and analytical solutions." Applied physics letters 68.12 (1996): 1657-1659. • Yeo, Yee Chia, et al. "Electronic band structures and optical gain spectra of strained wurtziteGaN-Al< sub> x</sub> Ga< sub> 1-x</sub> N quantum-well lasers." Quantum Electronics, IEEE Journal of 34.3 (1998): 526-534.

  19. Parameters

  20. Calculated Energy:

  21. Chuang, Shun Lien. "Optical gain of strained wurtziteGaN quantum-well lasers." Quantum Electronics, IEEE Journal of 32.10 (1996): 1791-1800.

  22. Chuang, Shun Lien. "Optical gain of strained wurtziteGaN quantum-well detector." Quantum Electronics, IEEE Journal of 32.10 (1996): 1791-1800.

  23. Chuang, Shun Lien. "Optical gain of strained wurtziteGaN quantum-well detector." Quantum Electronics, IEEE Journal of 32.10 (1996): 1791-1800.

  24. Chuang, Shun Lien. "Optical gain of strained wurtziteGaN quantum-well detector." Quantum Electronics, IEEE Journal of 32.10 (1996): 1791-1800.

  25. Future Development: Carbon Nanotube/graphene

  26. THANK YOU

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