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

E. Welander, I. I. Yakimenko, and K.-F. Berggren

Phys. Rev. B 82 , 073307 (2010)

Ultra small systems may be fabricated by means of state-of-the-art semiconductor and device technology. Because of their smallness systems of this kind, for example wires and dots, show strong quantum-mechanical characteristics. Such quantum structures are of potential interest for future microelectronics, photonics and quantum information because quantum mechanics in principle may offer new radical solutions and operational modes for semiconductors devices and arrays that are steadily getting more and more miniaturized with line widths of only a few tens of nanometres or less.

     In this work we consider some fundamental questions about electronic structure and how electrons interact and may become localized in space. In particular we focus on the modelling of low-dimensional shallow quantum wires with low electron densities. Under such circumstances the electrons may form ordered spin structures, referred to as Wigner microcrystallites. Phenomena of this kind have recently been discovered at the Cavendish Laboratory in Cambridge, UK.

The figure shows a two-dimensional microcrystal for 8 up and 8 down spin electrons . The yellow and   blue zig-zag sublattices refer to the spatial densities n for the two spins.

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Last updated: 09/04/10