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We consider tunneling of quasiparticles through a rectangular quantum well,subject to periodic driving. The quasiparticles are the itinerant charges intwo-dimensional and three-dimensional semimetals having a quadraticband-touching (QBT) point in the Brillouin zone. In order to analyze thetime-periodic Hamiltonian, we assume a non-adiabatic limit, where the Floquettheorem is applicable. By deriving the Floquet scattering matrices, we chalkout the transmission and shot noise spectra of the QBT semimetals. The spectrashow Fano resonances, which we identify with the (quasi)bound states of thesystems.

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