Fano Resonance In The Nonadiabatically Pumped Shot Noise In A Two-Dimensional Electron Gas And Graphene

We use the Floquet scattering theory to study the correlation properties of the nonadiabatic pumped dc current and heat flow through a time-dependent quantum well. Electrons can transit through the quasibound state to the oscillator induced Floquet states leading to resonant tunneling Virtual electron scattering processes can produce pumped heat flow, pumped shot noise and pumped heat flow noise, with presence of time and spatial reversal symmetry. When one of the Floquet levels matches the quasibound level there strikes a “Fano” resonance.Using the Floquet scattering theory, we considered the transport properties of a nonadiabatic time-dependent well both in the 2DEG and monolayer graphene structure. Dispersion of the quasibound state of a static quantum well is obtained with transverse motion present. We demonstrate that when transverse motion is present, Fano resonance occurs precisely at the wavevector matching situation. We found that Fano resonance occurs when the wavevector in the transport direction of one of the Floquet sidebands is exactly identical to that of the quasibound state in the well at equilibrium and follows the dispersion pattern of the latter. To observe the Fano resonance phenomenon in the transmission spectrum, we also considered the pumped shot noise properties when time and spatial symmetry secures vanishing current in the considered con guration. Prominent Fano resonance is found in the dierential pumped shot noise to the reservoir Fermi energy.we applied the Floquet scattering theory to the Dirac equation and investigated the dynamic transport and shot noise properties of the monolayer graphene driven by a single oscillating potential. Numerical results show that the total transmission probability of all Floquet modes characterises the resonant-level structure of a graphene nanoribbon, which is reflected in the shot noise spectrum. It is also found that the dynamic transport properties nonlinearly depend on the driving frequency and the amplitude due to the Floquet sideband formation during the pumping process.