Transport through a correlated polar side-coupled quantum dot transistor in the presence of a magnetic field and dissipation

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.