Abstract
Non-equilibrium magneto-transport properties of a quantum dot dimer transistor are studied in the presence of electron-electron and electron-phonon interactions and the interaction of the dimer phonons with the substrate phonon bath that gives rise to dissipation. The entire system is modeled by the Anderson-Holstein-Caldeira-Leggett Hamiltonian where the Caldeira-Leggett term takes care of the damping. The electron-phonon interaction is dealt with the Lang-Firsov transformation and the electron-electron interaction is treated at the mean-field level. The transport problem is studied using the Keldysh non-equilibrium Green function theory and the effects of electron-electron interaction, external magnetic field, electron-phonon interaction and damping on spectral function, tunneling current and differential conductance of the dimer transistor are calculated.