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LOW DIMENSIONAL SYSTEMS AND NANOSTRUCTURES

Angel Rubio & Nerea Zabala

Fall 2007

1 http://www.nanopicoftheday.org/alphaindex.htm

• To contact us:

•Nerea Zabala: nerea@we.lc.ehu.es or nerea.zabala@ehu.es

•Angel Rubio: arubio@ehu.es or Angel.Rubio@ehu.es

LOW DIMENSIONAL SYSTEMS AND NANOSTRUCTURES

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LOW DIMENSIONAL SYSTEMS AND NANOSTRUCTURES

•The aim:

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•This course in intended to provide a general introduction to the most important nanostructures in Nanoscience and Nanotechnology, attending to their dimensionality (2D, 1D, 0D).

•The most important phenomena emerging in low dimensional systems will be described.

•Finally special attention will be paid to carbon nanostructures, which exist in all dimensions (diamond, graphite, nanotubes, fullerenes...).

•Background:LOW DIMENSIONAL SYSTEMS AND NANOSTRUCTURES

•Quantum Mechanics

•Solid State Physics

•Nanoscience: a historical perspective

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• 3 ECTS Credits:

•1ECT credit=25 hours

•30% lectures

•20% exercises

•30% personal work

•20% others: short questions posed during the course, essays, bibliographic search....

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•The lectures:

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•DIPC

•Wednesday, Thursday 10:00-12:00

•The contents:

1. Length scales and low dimensionality.

2. Electronic states and quantum confined systems.

3. 2D systems. Quantum wells, heterojunctions and artificial structures. Quantum Hall effect.

4. 1D systems. Quantum wires: quantum transport.

5. 0D systems. Quantum dots and artificial atoms: electronic (single electron tunneling and Coulomb blockade) and optical properties. Metal clusters.

6. Carbon nanostructures: fullerenes and carbon nanotubes.

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• Calendar& program:

No lectureN. Zabala

A. Rubio

1) Length scales and low dimensionality.•Presentation

2) Electronic states and quantum confined systems.

3)2D systems. Quantum wells, heterojunctions and artificial structures. 3)2D systems. QH effect

4) 1D systems. Quantum wires. Quantum transport

Wednesday& Thursday 10:00-12:00

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Student presentations

• Calendar& program:

Test (?)

5) 0D systems.

6) Carbon nanostructures: fullerenes and carbon nanotubes.

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No lecture

A. Rubio

Student presentations

•Examination:

•Exercises and participation, 30%

•Short test, 40%

•Monographic essay, 30%

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• Subjects for monographic essays:

•Based on a paper covering some aspect discussed briefly in the lectures.

•Approximate length: less than 10 written pages.

•Date: the last week (24, 30, 31 January)

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•Material:

http://alweb.ehu.es/nezabala

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•The material used in the lectures will appear here:

http://dipc.ehu.es/arubio

•More material and information also in:

http://nano-bio.ehu.es

•Literature:

- “The Physics and Chemistry of Solids”, Stephen Elliot, Wiley, 2000.( Ch. 8)- “Introduction to solid Sate Physics”, Charles Kittel, Wiley (8th edition), (Ch.17,18)- “Introduction to Modern Solid State Physics”, Y. M. Galperin, (electronic, pdf on line)- ”The physics of low dimensional semiconductors”, J.H. DaviesCambridge University Press, 1998.- “Introduction to mesoscopic physics”, Y. Imry, Oxford University Press, 1997.- “Electronic transport in mesoscopic systems”, Supriyo Datta,Cambridge University Press, 1995.- “Transport in Nanostructures”, D.K. Ferry and S. M. Goodnick, Cambridge University Press, 1999.- “Mesoscopic Physics and electronics”, T. Ando, Y. Arakawa, F. Furuya, S. Komiyama and H. Nakashima, Spinger, 1998.- “Mesoscopic systems. Fundamentals and Applications”, Yoshimasa Murayama, Wiley-Vch, 2001.- “Mesoscopic Physisc and Electronics”, T. Ando, Y. Arakawa, K. Furuya, S. Komiyama and H. Nakashima, Springer-Verlag, 1998.- “Structure and properties of Atomic Nanoclusters”, J.A. Alonso, Imperial College Press, 2005.- “Carbon Nanotubes, Síntesis, Structure, Properties and Applications”, M. S. Dresselhau, G. Dresselhaus and P. Avouris, Springer-verlag, 2001.- “Quantum properties of atomic-sized conductors”,N. Agrait, A. Levy yeyati and J.M. Van Ruitenbeek, Physics Reports 377, 81 (2003).- “Electronic structure of quantum dots”, S. M. Reimann and M. Manninen”, Rev. Mod. Phys. 74, 1283 (2002).

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