Lectures
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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.
Introduction to Density Functional Theory
- References: K. Capelle, A bird's-eye view of density-functional theory, arXiv:cond-mat/0211443
Heterojunctions, interfaces and band bending
Two-dimensional electron gas in semiconductor heterostructures
Split gates shaping of 2DEG and subband structure of quantum nanowires
- References: Datta Ch. 6
Landauer-Buttiker scattering approach to quantum transport and application to quasi-1D nanowires
Graphene nanoribbons
Carbon nanotubes
Semislassical transport
- References:
==Drift-diffusion approach to ferromagnet-normal-metal nanostructures
Quantum interference effects in transport: double barrier junction, Aharonov-Bohm ring, localization
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
