Transport Through a Quantum Dot with Electron-Phonon Interaction
arXiv:2008.13401 · doi:10.1016/j.matpr.2018.06.058
Abstract
We theoretically study the electrical transport properties of a single level quantum dot connected to two normal conducting leads, which is coupled to the lattice vibrations. We determine the current through the quantum dot in two different situations: time-independent and time-averaged. In all situations we consider three cases: when there is no electron-phonon interaction, when the dot electrons interact with optical phonons or when they interact with acoustic phonons. At finite temperatures we take into account the temperature dependence of the chemical potential. We treat the electron-phonon interaction by the canonical transformation method. In the case of electron-longitudinal optical phonon interaction the spectrum contains a subpeak. In the case of electron-acoustic phonon interaction the spectrum is continuous. In the time-averaged situation many parasite peaks appear in the spectrum, due to the external time-modulation.
10 pages, 6 figures
References in corpus (11)
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Resonant inelastic tunneling in molecular junctions
- Three-terminal thermoelectric transport through a molecular junction
- Spontaneous emission of phonons by coupled quantum dots
- Effects of electron-phonon interaction on non-equilibrium transport through single-molecule transistor
- Theory of Current and Shot Noise Spectroscopy in Single-Molecular Quantum Dots with Phonon Mode
- A Green-function approach to transport phenomena in quantum pumps
- Temperature dependence of polaronic transport through single molecules and quantum dots
- Magnetoconductivity of quantum wires with elastic and inelastic scattering
- Few Electron Limit of n-type Metal Oxide Semiconductor Single Electron Transistors
- Nonperturbative analysis of coupled quantum dots in a phonon bath