Resonances Expressed as Minima in Magnetoresistance of a Quantum Wire with Two Barriers Inside
V. Bezák
Department of Experimental Physics, Comenius University in Bratislava, 84248 Bratislava, Slovakia
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The theory of the magnetoresistance of the InSb quantum wire is presented. The quantum wire is cylindrical in shape with a symmetric pair of delta-barriers inside. A tunable magnetic field parallel with the axis of the quantum wire is considered. The dependence of the Fermi energy on the magnetic field is calculated. The Landauer formula is used in the calculation of the resistance of a quantum wire. When parameters of the quantum wire (its radius, amplitude of delta-barriers, and distance between them, donor concentration) are appropriately chosen, the theory predicts the dependence of resistance on the magnetic field manifesting well-defined minima. The minima are attributed to the resonant tunnelling of the conduction electrons through the double delta-barrier.

DOI:10.12693/APhysPolA.142.492
topics: double delta-barrier, resonant tunnelling, Landauer formula, magnetoresistance