Localization of electrons and formation of two-dimensional Wigner spin lattices in a special cylindrical semiconductor stripe

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2010
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Yakimenko, Iryna I.
Berggren, Karl-Fredrik
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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.

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ISO 690WELANDER, Erik, Iryna I. YAKIMENKO, Karl-Fredrik BERGGREN, 2010. Localization of electrons and formation of two-dimensional Wigner spin lattices in a special cylindrical semiconductor stripe. In: Physical Review B. American Physical Society (APS). 2010, 82(7), 073307. ISSN 1098-0121. eISSN 1550-235X. Available under: doi: 10.1103/PhysRevB.82.073307
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@article{Welander2010-08-27Local-51593,
  year={2010},
  doi={10.1103/PhysRevB.82.073307},
  title={Localization of electrons and formation of two-dimensional Wigner spin lattices in a special cylindrical semiconductor stripe},
  number={7},
  volume={82},
  issn={1098-0121},
  journal={Physical Review B},
  author={Welander, Erik and Yakimenko, Iryna I. and Berggren, Karl-Fredrik},
  note={Article Number: 073307}
}
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