Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well

Abstract We consider tunneling of quasiparticles through a rectangular quantum well, subject to periodic driving. The are the itinerant charges in two-dimensional and three-dimensional semimetals having quadratic bandtouching (QBT) point Brillouin zone. To analyze time-periodic Hamiltonian, we assume non-adiabatic limit where Floquet theorem is applicable. By deriving scattering matrices, chalk out transmission shot noise spectra QBT semimetals. show Fano resonances, which identify with (quasi)bound states systems.