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Introduction to Nanoelectronics

Nguồn ngoài

Introduction to Nanoelectronics

Traditionally, progress in electronics has been driven by miniaturization. But as electronic devices approach the molecular scale, classical models for device behavior must be abandoned. To prepare for the next generation of electronic devices, this text teaches the theory of current, voltage and resistance from atoms up.

Tác giả
Marc Baldo
Nhà xuất bản
Massachusetts Institute of Technology
Nguồn
LibreTexts
Giấy phép
CC BY-NC-SA
Ngôn ngữ
EN
Mục lục· 132 mục
  1. 01: The Quantum Particle
  2. 1.01: The Quantum Particle
  3. 1.02: Waves in electronics
  4. 1.03: Review of Classical Waves
  5. 1.04: Plane waves
  6. 1.05: The Double Slit Experiment
  7. 1.06: Interpretation of the double slit experiment
  8. 1.07: The Wavefunction
  9. 1.08: Frequency domain and k-space descriptions of waves
  10. 1.09: Linear combinations of waves
  11. 1.10: Wave packets and uncertainty
  12. 1.11: Examples of wavepackets
  13. 1.12: Expectation values of position
  14. 1.13: Bra and Ket Notation
  15. 1.14: Parsevals Theorem
  16. 1.15: Expectation values of k and (omega)
  17. 1.16: The Commutator
  18. 1.17: Momentum and Energy
  19. 1.18: The Uncertainty Principle
  20. 1.19: Uncertainty in Energy and Time
  21. 1.20: Application of the Uncertainty Principle
  22. 1.21: Schrodingers Wave Equation
  23. 1.22: A Summary of Operators
  24. 1.23: The Time Independent Schrodinger Equation
  25. 1.24: Free Particles
  26. 1.25: The Square Well
  27. 1.26: Matching piecewise solutions
  28. 1.27: Bound solutions
  29. 1.28: The limit that (V 0 rightarrow infty) (the infinite square well)
  30. 1.29: The Finite Square Well
  31. 1.30: Potential barriers and Tunneling
  32. 1.31: Problems
  33. 02: The Quantum Particle in a Box
  34. 2.01: The Quantum Particle in a Box
  35. 2.02: How many electrons Fermi-Dirac Statistics
  36. 2.03: Current
  37. 2.04: Metals and Insulators
  38. 2.05: The Density of States
  39. 2.06: The Particle in a Box
  40. 2.07: The Schrodinger Equation in Higher Dimensions
  41. 2.08: The 0-D DOS - Single Molecules and Quantum Dots Confined in 3-D
  42. 2.09: Periodic Boundary Conditions
  43. 2.10: The 1-D DOS - Quantum Wires Confined in 2-D
  44. 2.11: Periodic Boundary Conditions in 2-D
  45. 2.12: The 2-D Density of States - Quantum Wells Confined in 1-D
  46. 2.13: Periodic boundary conditions in 3-D
  47. 2.14: The 3-d DOS- bulk materials with no confinement
  48. 2.15: Problems
  49. 03: Two Terminal Quantum Dot Devices
  50. 3.01: Two Terminal Quantum Dot Devices
  51. 3.02: Quantum Dot Single Molecule Conductors
  52. 3.03: Contacts
  53. 3.04: Equilibrium between contacts and the conductor
  54. 3.05: Calculation of the electrostatic capacitance
  55. 3.06: Current Flow in Two Terminal Quantum Dot Single Molecule Devices
  56. 3.07: Calculation of Current
  57. 3.08: Analytic calculations of the effects of charging
  58. 3.09: A small signal circuit model
  59. 3.10: The Ideal Contact Limit
  60. 3.11: Problems
  61. 04: Two Terminal Quantum Wire Devices
  62. 4.01: Two Terminal Quantum Wire Devices
  63. 4.02: Scattering and Ballistic Transport
  64. 4.03: Equilibrium between contacts and the conductor
  65. 4.04: Bias
  66. 4.05: The Spatial Profile of the Potential
  67. 4.06: The Quantum Limit of Conductance
  68. 4.07: The Landauer Formula
  69. 4.08: Spatial variation of the electrochemical potential
  70. 4.09: Ohms law
  71. 4.10: The Drude or Semi-Classical Model of Charge Transport
  72. 4.11: Mobility
  73. 4.12: Effective Mass
  74. 4.13: Comparing the quantum and Semi-Classical Drude models of conduction
  75. 4.14: Problems
  76. 05: Field Effect Transistors
  77. 5.01: Field Effect Transistors
  78. 5.02: FET switching
  79. 5.03: FET Calculations
  80. 5.04: Quantum Capacitance in FETs
  81. 5.05: Simplified models of FET switching
  82. 5.06: The Zero Charging limit
  83. 5.07: The Strong Charging Limit
  84. 5.08: The temperature dependence of current in the OFF state
  85. 5.09: Transconductance
  86. 5.10: The ballistic quantum wire FET.
  87. 5.11: Quantum dot models of quantum wire transistor channels
  88. 5.12: Ballistic Quantum Wire FET Current-Voltage Characteristics at T 0K.
  89. 5.13: Ballistic Quantum Well FETs
  90. 5.14: Comparison of ballistic and non-ballistic MOSFETs
  91. 5.15: Problems
  92. 06: The Electronic Structure of Materials
  93. 6.01: The hydrogen atom
  94. 6.02: Atoms to Molecules
  95. 6.03: Molecular orbitals
  96. 6.04: Linear combination of atomic orbitals (LCAO)
  97. 6.05: The Tight Binding Approximation
  98. 6.06: Solving for the energy
  99. 6.07: Examples of tight binding calculations
  100. 6.08: Polyacetylene
  101. 6.09: Crystals and periodic molecules
  102. 6.10: Polyacetylene (average bond model)
  103. 6.11: Polyacetylene (alternating bond model)
  104. 6.12: Graphene
  105. 6.13: Simple cubic face centered cubic and diamond lattices
  106. 6.14: Bloch functions- wavefunctions in periodic molecules
  107. 6.15: The first Brillouin zone
  108. 6.16: 2-d and 3-d periodic materials
  109. 6.17: Tight Binding Calculations in Periodic molecules and crystals
  110. 6.18: Bandstructure of Bulk Semiconductors
  111. 6.19: Band Gaps and Conduction and Valence bands
  112. 6.20: Analytic approximations for the bandstructure of graphene and carbon nanotubes
  113. 6.21: Band diagrams
  114. 6.22: Semiconductors and Insulators
  115. 6.23: Problems
  116. 07: Fundamental Limits in Computation
  117. 7.01: Speed and power in CMOS circuits
  118. 7.02: Switching Speed
  119. 7.03: Scaling Limits in CMOS
  120. 7.04: Brief notes on information theory and the thermodynamics of computation
  121. 7.05: Reversible computers
  122. 7.06: Reversible Computers and Noise
  123. 7.07: The future of electronics
  124. 7.08: So how can we approach the subthreshold limit
  125. 7.09: And beyond
  126. 7.10: Problems
  127. 08: References and Appendices
  128. 8.01: References
  129. 8.02: Appendix 1 - Electron Wavepacket Propagation
  130. 8.03: Appendix 2 - The Hydrogen Atom
  131. 8.04: Appendix 3 - The Born-Oppenheimer Approximation
  132. 8.05: Appendix 4 - Hybrid Orbitals