Periodic Potential Lab Learning Materials

by Saumitra Raj Mehrotra, Dragica Vasileska, Gerhard Klimeck, Alejandra J. Magana, SungGeun Kim

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1 [[Image(figure1.jpg, 600px)]]
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3 By completing the Periodic Potential Lab in [[Resource(5065)]], you will be able to:
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5 a) understand the Kronig-Penney model and the formation of energy bands and energy gaps due to the underlying periodic interaction potential
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7 b) understand the concept of the effective mass
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9 c) create your own Kronig-Penney solver.
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12 The specific objectives of the Periodic Potentials Lab are:
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14 [[Image(template_scheme.jpg, 400px)]]
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16
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18 == Recommended Reading ==
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20 If you have not had experience with periodic potentials, bandstructure, the concept of the effective mass, etc., listed below are the suggested reading materials:
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22 1. D. K. Ferry, Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Second Edition (Institute of Physics Publishing, 2001).
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24
25 == Demo ==
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27 * [[Resource(6855)]]
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29 * [[Resource(6839)]]
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31
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33 == Theoretical descriptions ==
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35 * [[Resource(2263)]]
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37 * [[Resource(2346)]]
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39 * [[Resource(4847)]]
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41
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43 == Tool Verification ==
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45 [[Resource(8197)]]
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50 == Worked Examples ==
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52 -
1. [[Resource(6839)]]
+
1. [[Resource(11125)]]
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54
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56 == Exercises and Homework Assignments ==
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58 1. [[Resource(3950)]]
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60 2. [[Resource(4851)]]
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62
63
64 == Solutions to Exercises ==
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66 Solutions to exercises will be provided to Instructors ONLY!
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68
69
70 == Take a Test ==
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72 This test will assess your conceptual understanding of the physical, mathematical and computational knowledge related to periodic potentials and formation of bandstructure in crystals.
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74 [[Resource(9458)]]
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78 == Solve the Challenge ==
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80 In this final challenge you will integrate all what you have learned about the Kronig-Penney model.
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82 [[Resource(9195)]]