Strong dependence of multichannel ballistic transport on the geometric symmetry

We consider the Aharonov–Bohm [Phys. Rev. 115, 485 (1959)] interferometer (or a hypothetical quantum interference transistor) that consists of a single-channel quantum wire split into a mesoscopic loop, whose conductance is controlled by a voltage applied between a gate electrode coupled capacitively to one branch of the loop and the wire. It is deduced from fundamental properties of one-dimensional conductors that putting a single elementary charge on the gate–wire capacitor dramatically alters the interference conditions in the device by introducing the phase shift π/2. This surprising result means that the electrostatic Aharonov–Bohm effect belongs in fact to the category of single-electron phenomena in solids and that inherent charge fluctuations can make its clear observation impossible.

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Temperature dependence of the Aharonov-Bohm oscillations and the energy spectrum in a single-mode ballistic ring

Cassé

Kvon

Gusev

et al. 2000

Phys. Rev. B

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The temperature dependence of the amplitude of the Aharonov-Bohm ͑AB͒ oscillations in a single mode ballistic ring has been measured. The experimental data is analyzed using the exact energy spectrum of an ideal ring with a finite width and the Landauer-Büttiker formula to calculate the conductance of the ring. We show that the temperature dependence of the AB oscillations can be explained in terms of the thermally averaged transmission probability through the energy levels of the ring provided the additional charging energy is taken into account. This demonstrates the effect of Coulomb repulsion on the AB oscillations in a ring interferometer.

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Strong dependence of multichannel ballistic transport on the geometric symmetry

Cited by 3 publications

References 5 publications

Geometric-symmetry consideration on magneto-conductance oscillations in purely ballistic quantum rings

Geometric-symmetry consideration on magneto-conductance oscillations in purely ballistic quantum rings

Electrostatic Aharonov–Bohm effect in solids revised

Temperature dependence of the Aharonov-Bohm oscillations and the energy spectrum in a single-mode ballistic ring

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