Lectures: Difference between revisions
From phys824
Jump to navigationJump to search
| Line 33: | Line 33: | ||
** H. L. Neal, ''A density functional perspective for single-particle systems'', [http://dx.doi.org/10.1119/1.1624118 Am. J. Phys. '''72''', 605 (2004)]. | ** H. L. Neal, ''A density functional perspective for single-particle systems'', [http://dx.doi.org/10.1119/1.1624118 Am. J. Phys. '''72''', 605 (2004)]. | ||
== Heterojunctions, | == Heterojunctions, interfacial band bending, and two-dimensional electron gas (2DEG) formation== | ||
*PDF | |||
== Two-dimensional electron gas in semiconductor heterostructures== | == Two-dimensional electron gas in semiconductor heterostructures== | ||
Revision as of 19:42, 25 October 2009
What is nanophysics: Introduction to course topics
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]
Electronic structure of graphene: energy-momentum dispersion, density of states, and massless Dirac fermions
- 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 with applications to graphene
- References:
- K. Capelle, A bird's-eye view of density-functional theory, arXiv:cond-mat/0211443
- Simple examples:
- H. L. Neal, Density functional theory of one-dimensional two-particle systems, Am. J. Phys. 66, 512 (1998).
- H. L. Neal, A density functional perspective for single-particle systems, Am. J. Phys. 72, 605 (2004).
Heterojunctions, interfacial band bending, and two-dimensional electron gas (2DEG) formation
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 and carbon nanotubes
Semislassical transport with applications to ferromagnet-normal-metal nanostructures
- References:
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
Non-equilibrium Green functions (NEGF) for coherent transport
- References:
- Datta Ch. 9
NEGF in the presence of dephasing
- References:
- Datta Ch. 10
