The conductance of the gated Aharonov - Bohm ring touching a quantum wire

We analyse the conductance of the Aharonov-Bohm one-dimensional quantum ring touching a quantum wire. It is shown that in accordance with experimental data the period of the AB oscillations strongly depends on the chemical potential and the Rashba coupling parameter. The dependence of the conductance on the carrier’s energy is shown to reveal the Fano resonances.