Abstract
We present the numerical results of the electronic conductanceG of a quantum wire with a multichannel point contact structure in a perpendicular external magnetic fieldH at zero temperature, based on the rigorous quantum mechanics of a two-dimensional noninteracting electron gas. Computational results show the approximate quantization of the electronic conductance. WheH is weak,G≅integer multiples of 2e 2/h; and whenH is trong, G≅integer multiples of 2ne 2/h, wheren is the number of channels in the point contact structure of the quantum wire. Quantum leaps take place whenH≅±2m * E F /[ħe(2j+1)], wherej is either zero or a positive integer small enough for the external magnetic fieldH to be strong, andm * is the effective mass of an electron in the device. To our knowledge, no report on this quantization of electronic conductance has been published. Oscillations are manifest in theG∼H curves for comparatively narrow channels because of the quantum size effect.
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References
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