FANO RESONANCE IN ELECTRONIC TRANSPORT THROUGH A QUANTUM RING WITH IMPURITIES

Kokoreva Mariya Alekseevna, Postgraduate student, Institute of physics and chemistry, Mordovia State University named after N. P. Ogarev, maria-kokoreva@yandex.ru
Margulis Viktor Alexandrovich, Doctor of physico-mathematical sciences, professor, head of sub-department of theoretical physics, Institute of physics and chemistry, Mordovia State University named after N. P. Ogarev, theorphysics@mrsu.ru
Pyataev Mikhail Anatolyevich, Candidate of physico-mathematical sciences, associate professor, sub-department of theoretical physics, Institute of physics and chemistry, Mordovia State University named after N. P. Ogarev, pyataevma@math.mrsu.ru

538.935

Electron transport in a two-terminal Aaronov – Bohm ring with a number of short-range scatterers on it is investigated. An analytical expression for the conductance as a function of the electron Fermi energy is obtained using the zero-range potential theory. The dependence of the conductance on magnetic flux and positions of scatterers is studied. We have found that the conductance exhibits asymmetric Fano resonances at certain energies. The dependence of Fano resonances on magnetic field and positions of impurities is investigated. It is found that collapse of the Fano resonances appears at certain conditions.

zero-range potential, conductance, Fano resonances.