Finite Difference Schemes for k.p Models: A Comparative Study

By Jun Huang1; Kuang-Chung Wang1; William R Frensley2; Gerhard Klimeck3

1. Purdue University, West Lafayette, IN 2. Electrical Engineering, University of Texas at Dallas, Richardson, TX 3. Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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IWCE 2015 Presentation.

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Researchers should cite this work as follows:

  • Jun Huang, Kuang-Chung Wang, William R Frensley, Gerhard Klimeck (2016), "Finite Difference Schemes for k.p Models: A Comparative Study," https://nanohub.org/resources/25140.

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North Ballroom, PMU, Purdue University, West Lafayette, IN

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Finite Difference Schemes for k.p Models: A Comparative Study
  • Finite Difference Schemes for k.p Models: A Comparative Study 1. Finite Difference Schemes for … 0
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  • Outline 2. Outline 38.50517183850517
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  • K.P Method: An Brief Introduction 3. K.P Method: An Brief Introduct… 102.06873540206874
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  • Why K.P Method and Why Finite Difference ? 4. Why K.P Method and Why Finite … 195.36202869536203
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  • Problem: Spurious Solutions 5. Problem: Spurious Solutions 284.2842842842843
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  • Spurious Solution 1: Material Parameters 6. Spurious Solution 1: Material … 305.8391725058392
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  • Spurious Solution 2: Discretization 7. Spurious Solution 2: Discretiz… 360.82749416082748
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  • Spurious Solution 3: Material Interface 8. Spurious Solution 3: Material … 416.64998331665
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  • Challenge: 8-Band Model for Heterostructures 9. Challenge: 8-Band Model for He… 477.04371037704374
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  • Comparative Study: Four Combinations 10. Comparative Study: Four Combin… 524.32432432432438
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  • Q1: Which one gives good E-k diagram? 11. Q1: Which one gives good E-k d… 600.10010010010012
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  • Q2: Which one is numerically stable? 12. Q2: Which one is numerically s… 653.62028695362028
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  • Q3: Which one has well-behaviored WF? 13. Q3: Which one has well-behavio… 700.83416750083416
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  • Q4: Is the implementation tricky? 14. Q4: Is the implementation tric… 768.13480146813481
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  • Conclusion 15. Conclusion 847.81448114781449
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  • Acknowledgement 16. Acknowledgement 890.9242575909243
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