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

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Sandip Bera, Ipsita Mandal

Abstract

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

References

Jun 15, 1994·Physical Review. B, Condensed Matter·M Wagner
Nov 1, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Rui Zhu, Maoli Lai
Dec 3, 2013·Physical Review Letters·Eun-Gook MoonLeon Balents
Dec 8, 2015·Nature Communications·Takeshi KondoS Shin
Dec 13, 2016·Scientific Reports·Can YesilyurtMansoor B A Jalil
May 30, 2020·Physical Review Letters·Alexander AvdoshkinJoel E Moore

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