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Localization of electrons and formation of two-dimentional Wigner spin lattices in a special cylindrical semiconductor stripe
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, The Institute of Technology.
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, The Institute of Technology.
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, The Institute of Technology.
2010 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 82, no 073307Article in journal (Refereed) Published
Abstract [en]

We consider a two-dimensional (2D)electron gas residing on the surface of a cylinder of a given radius R in the presence of a parabolic confinement along the axis of the cylinder. In this way the system of electrons forms a closed cylindrical stripe (wire). Using the local spin-density technique we first consider localization of electrons within of a potential barrier embedded in the wire. Barriers with sharp retangularlike features are populated in steps because of Coulomb blockade. The nature of a single bound state in a short soft barrier (quantum point contacts) at pinch-off is discussed in terms Coulomb blockade. For a shallow barrier-free wire we retrace the structural transitions at low electron densities from a single chain of localized states to double and triple chains (Wigner spin lattices). The present system is related to the model of a inhomogeneous quantum wire introduced recently by Güçlü et al. [Phys. Rev. B 80, 201302(R) (2009)]. An important aspect is, however, the present extension into higher electron densities as well as to the low-density regime and the formation of 2D Wigner microlattices.

Place, publisher, year, edition, pages
2010. Vol. 82, no 073307
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-58876DOI: 10.1103/PhysRevB.82.073307OAI: oai:DiVA.org:liu-58876DiVA: diva2:346315
Available from: 2010-08-31 Created: 2010-08-31 Last updated: 2017-12-12

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Yakymenko, IrynaBerggren, Karl-Fredrik

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