Lectures

What is nanophysics: Introduction to course topics

• [PDF]

Survey of quantum statistical tools: Density matrix in equilibrium and out of equilibrium

• References:
  • Datta Ch. 4
• Key equations of Lecture 2

From atoms to 1D nanowires

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

Landauer formula for ballistic 1D nanowires

• References:
  • Datta Ch. 6.3 (see also 4.4)
  • M. Payne, Electrostatic and electrochemical potentials in quantum transport, J. Phys.: Condens. Matter 1, 4931 (1989). [PDF]

Band structure of graphene

• References:
  • Datta Ch. 5
  • C. Schonenberger, Bandstructure of Graphene and Carbon Nanotubes: An Exercise in Condensed Matter Physics
  • A. Matulis and F. M. Peeters, Analogy between one-dimensional chain models and graphene, Am. J. Phys. 77 595 (2009). [PDF]

Introduction to Density Functional Theory

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

Split gates shaping of 2DEG and subband structure of quantum nanowires

• References:
  • Datta Ch. 6

Graphene nanoribbons

• PDF

Carbon nanotubes

• PDF

Semislassical transport

• References:

Non-equilibrium Green functions (NEGF) for coherent transport

• References:
  • Datta Ch. 9

NEGF in the presence of dephasing

• References:
  • Datta Ch. 10

Principles of STM and AFM operation

• PDF

Quantum Hall effect

• PDF