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Electronic conductance of a multi-channel point contact in a magnetic field

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Zeitschrift für Physik B Condensed Matter

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 theGH curves for comparatively narrow channels because of the quantum size effect.

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Yao, J., Chen, H. Electronic conductance of a multi-channel point contact in a magnetic field. Z. Physik B - Condensed Matter 92, 341–346 (1993). https://doi.org/10.1007/BF01308752

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  • DOI: https://doi.org/10.1007/BF01308752

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