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Quantum point contact: A theoretical study
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
2010 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Experiments shows that the conductance of a quantum point contact is quantized in steps of  2e²/h, where e is the charge of the electron and h is Planck’s constant, and thereby Ohm’s law is not valid for nanostructures. By using the approximation method finite difference, the transmission for one-dimensional contacts and one- and two-dimensional potentials are investigated. In the case of two-dimensional contacts and a two-dimensional potential the Green’s function method is used. It turns out that if electrons are treated as waves, the transmission and the conductance just differ by the constant 2e²/h, which in this thesis is interpreted numerically in Matlab by using the Green’s function method.

Place, publisher, year, edition, pages
2010. , p. 46
Keywords [en]
quantum point contact, transmission, conduction, Green's functions
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:lnu:diva-6571OAI: oai:DiVA.org:lnu-6571DiVA, id: diva2:327193
Presentation
2010-06-14, D0043, Vejdes Plats 6 (hus D), Växjö, 13:15 (English)
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2010-06-30 Created: 2010-06-28 Last updated: 2010-06-30Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf