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Last updated:

September 25, 2023

Duration:

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FREE

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Unlimited Duration

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Description

Traditionally atomistic approaches have been used to model
materials in terms of average parameters like the mobility or the diffusion coefficient
which are then used as inputs to macroscopic device models.

This approach is still widely
used but it is not adequate to meet the challenges and opportunities afforded by the
development of nanotechnology that makes it possible to engineer materials and devices
on a length scale as small as several nanometers (atomic distances are ~ 0.2 nm). An
integrated approach is needed that embeds modern atomistic thinking directly into the
models used for non-equilibrium systems like nanoscale transistors, energy conversion
devices and bio-sensors. This requires not just quantum mechanics, but also an
appreciation of some of the most advanced concepts of non-equilibrium statistical
mechanics, together with the valuable insights obtained from recent developments in
mesoscopic physics. Our aim is to condense the central concepts into a one semester
course, assuming no prior background other than linear algebra.

Course Curriculum

  • ECE 659 Lecture 1: Introduction Unlimited
  • ECE 659 Lecture 2: Molecular, Ballistic and Diffusive Transport Unlimited
  • ECE 659 Lecture 3: Mobility Unlimited
  • ECE 659 Lecture 4: Landauer Model Unlimited
  • ECE 659 Lecture 5: Where is the Resistance? Unlimited
  • ECE 659 Lecture 6: Hall Effect I Unlimited
  • ECE 659 Lecture 7: Hall Effect II Unlimited
  • ECE 659 Lecture 8: Scattering Theory of Transport Unlimited
  • ECE 659 Lecture 9: Landauer-Buttiker Formalism Unlimited
  • ECE 659 Lecture 10: Two-Probe/Four-Probe Unlimited
  • ECE 659 Lecture 11: Semiclassical Dynamics Unlimited
  • ECE 659 Lecture 12: Cyclotron Frequency Unlimited
  • ECE 659 Lecture 13: Differential Matrix Equation Unlimited
  • ECE 659 Lecture 14: Coherent Transport I Unlimited
  • ECE 659 Lecture 15: Coherent Transport II Unlimited
  • ECE 659 Lecture 16: Correlation Function/Current Unlimited
  • ECE 659 Lecture 17: Non-Coherent Transport Unlimited
  • ECE 659 Lecture 18: NEGF Equations Unlimited
  • ECE 659 Lecture 19: Self Energy Unlimited
  • ECE 659 Lecture 20: Summary (Lectures 1-19) Unlimited
  • ECE 659 Lecture 21: Conductance Quantization Unlimited
  • ECE 659 Lecture 22: Basis Transformation Unlimited
  • ECE 659 Lecture 23: Transverse Modes Unlimited
  • ECE 659 Lecture 24: Spin Unlimited
  • ECE 659 Lecture 25: Spin Matricies I Unlimited
  • ECE 659 Lecture 26: Spin Matricies II Unlimited
  • ECE 659 Lecture 27: Spin-Orbit Interaction I Unlimited
  • ECE 659 Lecture 28: Spin-Orbit Interaction II Unlimited
  • ECE 659 Lecture 29: Hamiltonian Including Spin Unlimited
  • ECE 659 Lecture 30: Spin Density/Current Unlimited
  • ECE 659 Lecture 31: Spin Current/Torque Unlimited
  • ECE 659 Lecture 32: Spin Torque/Psuedo-Spin Unlimited
  • ECE 659 Lecture 33: Thermoelectricity Unlimited
  • ECE 659 Lecture 34: Second Law Unlimited
  • ECE 659 Lecture 35: Entropy Unlimited
  • ECE 659 Lecture 36: Law of Equilibrium Unlimited
  • ECE 659 Lecture 37: Inelastic Transport Unlimited
  • ECE 659 Lecture 38.0: Correlations and Entanglement Unlimited
  • ECE 659 Lecture 38: Singlet/Triplet States I Unlimited
  • ECE 659 Lecture 39: Singlet/Triplet States II Unlimited
  • ECE 659 Lecture 40: Correlated Transport Unlimited
  • ECE 659 Lecture 41: Exchange Interaction Unlimited
  • ECE 659 Lecture 42: Summing Up Unlimited

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