Lectures: Difference between revisions
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== Survey of quantum statistical tools: Density matrix in equilibrium and out of equilibrium == | == Survey of quantum statistical tools: Density matrix in equilibrium and out of equilibrium == | ||
*References: Datta Ch. 4 | *References: | ||
**Datta Ch. 4 | |||
*[[Key equations of Lecture 2]] | *[[Key equations of Lecture 2]] | ||
== From atoms to 1D nanowires == | == From atoms to 1D nanowires == | ||
*References: Datta Ch. 3 and 5 | *References: | ||
**Datta Ch. 3 and 5 | |||
*[[Discretization of 1D Hamiltonian]] | *[[Discretization of 1D Hamiltonian]] | ||
*[http://demonstrations.wolfram.com/BondingAndAntibondingMolecularOrbitals/ Visualization of bonding and antibonding molecular orbitals using Mathematica] | *[http://demonstrations.wolfram.com/BondingAndAntibondingMolecularOrbitals/ Visualization of bonding and antibonding molecular orbitals using Mathematica] | ||
| Line 13: | Line 15: | ||
== Landauer formula for ballistic 1D nanowires== | == Landauer formula for ballistic 1D nanowires== | ||
*References: Datta Ch. 6.3 (see also 4.4) | *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). [http://www.iop.org/EJ/abstract/0953-8984/1/30/006/ [PDF]] | |||
==Band structure of graphene== | ==Band structure of graphene== | ||
*References: Datta Ch. 5 | *References: | ||
**Datta Ch. 5 | |||
**C. Schonenberger, [[Media:LCAO-NT.pdf | 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) [http://dx.doi.org/10.1119/1.3127143 [PDF]] | |||
== Introduction to Density Functional Theory == | == Introduction to Density Functional Theory == | ||
*PDF | *PDF | ||
*References: K. Capelle, ''A bird's-eye view of density-functional theory'', [http://arxiv.org/abs/cond-mat/0211443 arXiv:cond-mat/0211443] | *References: | ||
**K. Capelle, ''A bird's-eye view of density-functional theory'', [http://arxiv.org/abs/cond-mat/0211443 arXiv:cond-mat/0211443] | |||
== Heterojunctions, interfaces and band bending== | == Heterojunctions, interfaces and band bending== | ||
| Line 27: | Line 35: | ||
== Split gates shaping of 2DEG and subband structure of quantum nanowires== | == Split gates shaping of 2DEG and subband structure of quantum nanowires== | ||
*References: Datta Ch. 6 | *References: | ||
**Datta Ch. 6 | |||
==Landauer-Buttiker scattering approach to quantum transport and application to quasi-1D nanowires== | ==Landauer-Buttiker scattering approach to quantum transport and application to quasi-1D nanowires== | ||
| Line 47: | Line 56: | ||
==Non-equilibrium Green functions (NEGF) for coherent transport== | ==Non-equilibrium Green functions (NEGF) for coherent transport== | ||
*References: Datta Ch. 9 | *References: | ||
**Datta Ch. 9 | |||
==NEGF in the presence of dephasing== | ==NEGF in the presence of dephasing== | ||
*References: Datta Ch. 10 | *References: | ||
**Datta Ch. 10 | |||
==Principles of STM and AFM operation== | ==Principles of STM and AFM operation== | ||
Revision as of 14:19, 1 October 2009
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
- 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
Non-equilibrium Green functions (NEGF) for coherent transport
- References:
- Datta Ch. 9
NEGF in the presence of dephasing
- References:
- Datta Ch. 10
