Lectures

• Lecture 1: What is nanophysics: Introduction to course topics
  • [PDF]

• Lecture 2: Survey of quantum statistical tools: Density matrix in equilibrium and out of equilibrium
  • References: Datta Ch. 4
  • Key equations of Lecture 2

• Lecture 3: From atoms to 1D nanowires
  • References: Datta Ch. 3 and 5
  • Visualization of bonding and antibonding molecular orbitals using Mathematica
  • Visualization of the tight-binding Hamiltonian of a nanowire with N atoms using Mathematica
  • Discretization of 1D Hamiltonian

• Lecture 4: Landauer formula for ballistic 1D nanowires
  • References: Datta Ch. 6.3 (see also 4.4) and ; M. Payne, Electrostatic and electrochemical potentials in quantum transport, J. Phys.: Condens. Matter 1, 4931 (1989). [PDF]

• Lecture 5: Band structure of graphene
  • References: Datta Ch. 5; C. Schonenberger, Bandstructure of Graphene and Carbon Nanotubes: An Exercise in Condensed Matter Physics.

• Lecture 6: Introduction to DFT
  • PDF
  • References: K. Capelle, A bird's-eye view of density-functional theory, arXiv:cond-mat/0211443

• Lecture 7: Heterojunctions, interfaces and band bending

• Lecture 8: Two-dimensional electron gas in semiconductor heterostructures

• Lecture 9: Split gates shaping of 2DEG and subband structure of quantum nanowires
  • References: Datta Ch. 6

• Lecture 10: Landauer-Buttiker scattering approach to quantum transport and application to quasi-1D nanowires

• Lecture 11: Graphene nanoribbons
  • PDF

• Lecture 12: Carbon nanotubes
  • PDF

• Lecture 13: Semislassical transport
  • References:

• Lecture 14: Drift-diffusion approach to ferromagnet-normal-metal nanostructures

• Lecture 15: Quantum interference effects in transport: double barrier junction, Aharonov-Bohm ring, localization

• Lecture 16: Introduction to Green functions in quantum physics and application to density of states calculations

• Lecture 17: Non-equilibrium Green functions (NEGF) for coherent transport
  • References: Datta Ch. 9

• Lecture 18: NEGF in the presence of dephasing
  • References: Datta Ch. 10

• Lecture 19: Principles of STM and AFM operation
  • PDF

• Lecture 20: Quantum Hall effect
  • PDF

• Lecture 21: NEGF+DFT and application to molecular electronics

• Lecture 22: Application of NEGF+DFT to magnetic tunnel junctions

• Lecture 23: Coulomb blockade