Fano Resonance in the Nonadiabatically Pumped Shot Noise of a Time-Dependent Quantum Well in 2DEG and Graphene

Abstract

Interference between different quantum paths can generate Fano resonance. One of the examples is transport through a quasibound state driven by time-dependent scattering potential. Previously it is found that Fano resonance occurs as a result of energy matching in one-dimensional systems. In this work, we demonstrate that when transverse motion is present, Fano resonance occurs precisely at the wavevector matching situation. 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 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 configuration. Prominent Fano resonance is found in the differential pumped shot noise to the reservoir Fermi energy.

References in corpus (6)

• Chiral tunneling and the Klein paradox in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Transport measurements across a tunable potential barrier in graphene
• Irradiated graphene as a tunable Floquet topological insulator
• Quantum Anomalous Hall State in Bilayer Graphene
• Fano resonance in the nonadiabatic pumped shot noise of a time-dependent potential well

Cited by in corpus (11)

• Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
• Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias
• Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
• Electron transmission through a periodically driven graphene magnetic barrier
• Resonant high harmonic generation in a ballistic graphene transistor with an AC driven gate
• Beating oscillation and Fano resonance in the laser assisted electron transmission through graphene δ- function magnetic barriers
• Nonlinear response of a ballistic graphene transistor with an ac-driven gate: high harmonic generation and THz detection
• Shot noise in a harmonically driven ballistic graphene transistor
• Resonance in the nonadiabatic quantum pumping of the time-dependent Josephson junction
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Fano resonances in tilted Weyl semimetals in an oscillating quantum well