The circulating current in an Aharonov-Bohm ring with a quantum dot: Role of transport current and phonons

We study current and heat of an Aharonov-Bohm ring with a quantum dot, and find that the circulating current can be modulated by the transport current. Similar to the transport current, the circulating current is reduced by the polaron effect. Moreover, there exists an additional contribution from the electron-phonon interaction.