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Wave function and conductance calculations for a quantum dot at resonant tunnelling peaks

Surface Science
Publication Date
DOI: 10.1016/0039-6028(96)00489-x
  • Physics


Abstract We use a recently developed numerical matching procedure to calculate conductances g 12 and scattering wave functions ψ for a quantum dot. The dot is formed in a 2D quantum wire by pushing in two hard wall fingers with height h, width d and separation s. Calculations are made for rectangular and capped fingers when d/ w= 0.1, s/ w= 0.47 and h/ w = 0.70, 0.60 and 0.53. We find two resonant tunnelling peaks in g 12 below the transmission threshold at wave numbers which decrease with decreasing h/ w. We use contour plots of ∣ψ∣ 2 to show that this behaviour when h decreases is due to increasing “spillage” of ∣ψ∣ 2 over the topes of the fingers and above the space between them. The higher resonance finally merges with the first continuous region of strong transmission.

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