Abstract
We calculate the self-consistent electronic structure of GaAs-AlGaAs split gate quantum wires taking into account the ordering in the donor layer which occurs when the ionization fraction F is less than unity. Ordered ion distributions are generated via a Metropolis-like algorithm Monte Carlo simulation which finds a local minimum of the interacting Coulomb energy. We study the structure of the wire modes and show that ordering substantially reduces the standard deviation of mode energies, making single mode quantum wires possible.
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