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

Sandip Bera; Ipsita Mandal

doi:10.1088/1361-648X/ac020a

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

J Phys Condens Matter. 2021 Jun 9;33(29). doi: 10.1088/1361-648X/ac020a.

Authors

Sandip Bera¹, Ipsita Mandal^{2

3}

Affiliations

¹ Indian Institute of Technology, Kharagpur, Kharagpur 721302, India.
² Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Kraków, Poland.
³ Department of Physics, Stockholm University, AlbaNova University Center, 106 91 Stockholm, Sweden.

PMID: 34103457
DOI: 10.1088/1361-648X/ac020a

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.

Keywords: Fano resonances; Floquet theorem; quadratic -band-touching semimetal; time-periodic drive.