The Effects Of Electron-phonon Interaction On The Transport Properties Of Quantum Ring

Based on the nonequilibrium Green's function technique and canonical transformation of the electron-phonon interaction, we investigate the transport properties through a modified Aharonov-Bohm ring with a quantum dot embedded in one arm. The effects of the electron-electron, electronphonon and Rashba spin-orbit interaction on the transport properties are taken into considered. The results indicate that:1. The conductance properties are affected remarkably with the presence of the phonon mode. The electron-phonon interaction leads to new satellite phonon peaks, the main peaks are shifted, and the heights of the main peaks decrease and the widths of the main peaks are narrowed. The position of the new peaks are dependent on the frequency of the phonon mode. With the strength of the electron-phonon interaction increasing, the occupation probability of phonon peaks increases.2. Due to a quantum dot in one arm of ring, when an electron tunneling through different paths to the left lead, quantum interference occur, which results in the Fano effect. When the electron-phonon interaction was considered, with the electron-electron interaction strength increasing, the Fano effect is suppressed. The Fano resonance can completely disappear with Rashba spin-orbit interaction .3. The spin-polarization can be strongly affected by the electron-phonon and Rashba spin-orbit interaction. The electron-phonon interaction reduces the spin polarization, Rashba spin-orbit interaction can increase the spin polarization.4. Because of the electron-electron interaction, as a function of the QD energy, conductance has one Coulomb resonant peak. But as a function of the bais, it has one Coulomb resonant peaks.