Lectures: Difference between revisions

From phys824
Jump to navigationJump to search
No edit summary
No edit summary
Line 1: Line 1:
* Lecture 1: What is nanophysics: Introduction to course topics  
== What is nanophysics: Introduction to course topics ==
**[http://www.physics.udel.edu/~bnikolic/teaching/phys824/lectures/what_is_nanophysics.pdf [PDF]]
*[http://www.physics.udel.edu/~bnikolic/teaching/phys824/lectures/what_is_nanophysics.pdf [PDF]]


* Lecture 2: 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]]


* Lecture 3: From atoms to 1D nanowires  
== From atoms to 1D nanowires ==
**References: Datta Ch. 3 and 5
*References: Datta Ch. 3 and 5
**[http://demonstrations.wolfram.com/BondingAndAntibondingMolecularOrbitals/ Visualization of bonding and antibonding molecular orbitals using Mathematica]
*[[Discretization of 1D Hamiltonian]]
**[http://demonstrations.wolfram.com/WannierRepresentationForTightBindingHamiltonianOfAPeriodicCh/ Visualization of the tight-binding Hamiltonian of a nanowire with N atoms using Mathematica]
*[http://demonstrations.wolfram.com/BondingAndAntibondingMolecularOrbitals/ Visualization of bonding and antibonding molecular orbitals using Mathematica]
**[[Discretization of 1D Hamiltonian]]
*[http://demonstrations.wolfram.com/WannierRepresentationForTightBindingHamiltonianOfAPeriodicCh/ Visualization of the tight-binding Hamiltonian of a nanowire with N atoms using Mathematica]  


* Lecture 4: Landauer formula for ballistic 1D nanowires
== 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). [http://www.iop.org/EJ/abstract/0953-8984/1/30/006/ [PDF]]  
*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]]  


* Lecture 5: Band structure of graphene
==Band structure of graphene==
**References: Datta Ch. 5; C. Schonenberger, [[Media:LCAO-NT.pdf | Bandstructure of Graphene and Carbon Nanotubes: An Exercise in Condensed Matter Physics]].
*References: Datta Ch. 5; C. Schonenberger, [[Media:LCAO-NT.pdf | Bandstructure of Graphene and Carbon Nanotubes: An Exercise in Condensed Matter Physics]].


* Lecture 6: Introduction to DFT
== 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]


* Lecture 7: Heterojunctions, interfaces and band bending
== Heterojunctions, interfaces and band bending==


* Lecture 8: Two-dimensional electron gas in semiconductor heterostructures
== Two-dimensional electron gas in semiconductor heterostructures==


* Lecture 9: 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


* Lecture 10: 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==


* Lecture 11: Graphene nanoribbons  
== Graphene nanoribbons==
**PDF
*PDF


* Lecture 12: Carbon nanotubes  
==Carbon nanotubes==
**PDF
*PDF


* Lecture 13: Semislassical transport
==Semislassical transport==
**References:
*References:


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


* Lecture 15: Quantum interference effects in transport: double barrier junction, Aharonov-Bohm ring, localization
==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
==Introduction to Green functions in quantum physics and application to density of states calculations==


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


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


* Lecture 19: Principles of STM and AFM operation
==Principles of STM and AFM operation=
**PDF
*PDF


* Lecture 20: Quantum Hall effect
==Lecture 20: Quantum Hall effect==
**PDF
*PDF


* Lecture 21: NEGF+DFT and application to molecular electronics
==NEGF+DFT and application to molecular electronics==


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


* Lecture 23: Coulomb blockade
==Coulomb blockade==

Revision as of 16:55, 29 September 2009

What is nanophysics: Introduction to course topics

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

From atoms to 1D nanowires

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

Introduction to Density Functional Theory

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

  • PDF

Carbon nanotubes

  • PDF

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

=Principles of STM and AFM operation

  • PDF

Lecture 20: Quantum Hall effect

  • PDF

NEGF+DFT and application to molecular electronics

Application of NEGF+DFT to magnetic tunnel junctions

Coulomb blockade