ECE 606 L7.1: Bandstructure - Problem Formulation

By Gerhard Klimeck

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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  • Gerhard Klimeck (2023), "ECE 606 L7.1: Bandstructure - Problem Formulation," https://nanohub.org/resources/37111.

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  1. band structure
  2. ECE606-Klimeck
  3. energy levels
  4. periodic potentials
ECE 606 L7.1: Bandstructure - Problem Formulation
  • L7.1 Bandstructure Problem Formulation 1. L7.1 Bandstructure Problem For… 0
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  • Section 7 Bandstructure – in 1D Periodic Potentials 2. Section 7 Bandstructure – in… 13.813813813813814
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  • Reminder Transmission through Repeated Wells 3. Reminder Transmission through … 87.821154487821161
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  • Reminder: Five Steps for Closed System Analytical Solution 4. Reminder: Five Steps for Close… 161.4280947614281
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  • Reminder: Five Steps for Closed System Analytical Solution 5. Reminder: Five Steps for Close… 211.644978311645
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  • Reminder: Five Steps for Closed System Analytical Solution 6. Reminder: Five Steps for Close… 246.64664664664664
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  • Periodic Potential Concept 7. Periodic Potential Concept 259.79312645979314
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  • Choosing the Smallest Unit Cell 8. Choosing the Smallest Unit Cel… 276.47647647647648
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  • Solution Ansatz Choose the Simplest Basis Set 9. Solution Ansatz Choose the Sim… 295.29529529529532
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  • Finally an (almost) Real Problem … 10. Finally an (almost) Real Probl… 333.5001668335002
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  • Reminder: Five Steps for Closed System Analytical Solution 11. Reminder: Five Steps for Close… 390.42375709042375
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  • Periodic U(x) and Bloch's Theorem Periodic U(x) and Bloch's Theorem 12. Periodic U(x) and Bloch's Theo… 398.16483149816486
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  • Phase-factor for N-cells 13. Phase-factor for N-cells 469.86986986986989
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  • Step 2: Periodic Boundary Condition 14. Step 2: Periodic Boundary Cond… 514.21421421421428
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  • Step 3: Boundary Conditions 15. Step 3: Boundary Conditions 630.83083083083091
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  • Step 4: Det(matrix)=0 for Energy-levels 16. Step 4: Det(matrix)=0 for Ener… 765.19853186519856
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  • Reminder: Five Steps for Closed System Analytical Solution 17. Reminder: Five Steps for Close… 844.41107774441116
    00:00/00:00
  • Five Steps for Periodic System Analytical Solution 18. Five Steps for Periodic System… 857.02369035702372
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  • Section 7 Bandstructure – in 1D Periodic Potentials 19. Section 7 Bandstructure – in… 883.4501167834502
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