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Foundation of heterostructure

Physics of semiconductor heterostructure is discussed briefly

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Foundation of heterostructure

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  1. Course: Quantum Electronics Arpan Deyasi Quantum Topic: Foundation of Quantum Heterostructure Electronics Arpan Deyasi Arpan Deyasi, RCCIIT, India 5/16/2020 1

  2. Design Flow Mathematics Arpan Deyasi Quantum Physics of Semiconductor Device Electronics Application Material Science 5/16/2020 Arpan Deyasi, RCCIIT, India 2

  3. ‘Particle in a Box’ problem Arpan Deyasi Quantum Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 3

  4. Q. Why Physics of Semiconductor Device is required to solve particle in a box problem? Arpan Deyasi Quantum Q. What is the role of Material Science? Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 4

  5. Need to brush up with Band Structure? Arpan Deyasi Quantum Electronics Work Function (Φs) Electron Affinity (χs) 5/16/2020 Arpan Deyasi, RCCIIT, India 5

  6. Difference between Homostructure & Heterostructure Arpan Deyasi Quantum Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 6

  7. Classification of Heterostructure Arpan Deyasi Quantum Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 7

  8. Arpan Deyasi Quantum Straddling Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 8

  9. Calculation for Straddling Arpan Deyasi Eg1= 1.43 eV Quantum ΔEg= 0.37 eV Eg2 = 1.8 eV χ1= 4.05 eV χ2= 3.72 eV Electronics Δχ = 0.33 eV ΔEg= ΔEC+ ΔEV Δχ = ΔEC ΔEV= 0.04 eV ΔEC>>ΔEV 5/16/2020 Arpan Deyasi, RCCIIT, India 9

  10. Arpan Deyasi Quantum Staggered Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 10

  11. Arpan Deyasi Quantum Broken-Gap Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 11

  12. Complexity of Analysis Arpan Deyasi 1. Effective mass approximation Quantum 2. Step potential approximation Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 12

  13. Boundary Conditions for Solving Heterostructure Arpan Deyasi Ben-Daniel Duke Boundary Conditions  =  Quantum I II Electronics   1 1 d d = I II * * dz dz m m I II 5/16/2020 Arpan Deyasi, RCCIIT, India 13

  14. Arpan Deyasi V = V0 V = V0 Rectangular potential Quantum V = 0 Electronics V = 0 V = V0 Parabolic potential Analytical technique is not applicable for complex potential structures V = 0 Triangular potential 5/16/2020 Arpan Deyasi, RCCIIT, India 14

  15. Numerical Techniques required for Calculation Arpan Deyasi Transfer Matrix Technique (TMT) Quantum Propagation Matrix Method (PMM) Electronics Perturbation Method WKB Approximation Finite Element Method (FEM) Finite Difference Time Domain Method (FDTD) 5/16/2020 Arpan Deyasi, RCCIIT, India 15

  16. Inference: Arpan Deyasi For realistic quantum-confined structure, Quantum application of boundary conditions requires Electronics appropriate numerical techniques Q: What are realistic quantum-confined structures? 5/16/2020 Arpan Deyasi, RCCIIT, India 16

  17. Quantum Well Arpan Deyasi Quantum Wire Quantum Quantum Dot Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 17

  18. Arpan Deyasi References https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6- 007-electromagnetic-energy-from-motors-to-lasers-spring-2011/lecture- notes/MIT6_007S11_lec40.pdf Quantum Electronics 5/16/2020 Arpan Deyasi, RCCIIT, India 18

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