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 quasiparticles are the itinerant charges in two-dimensional and three-dimensional semimetals having a quadratic band-touching (QBT) point in the Brillouin zone. In order 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.

typos corrected

References in corpus (6)

• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
• Tunneling of multi-Weyl semimetals through a potential barrier under the influence of magnetic fields
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Fano resonance in the nonadiabatic pumped shot noise of a time-dependent potential well

Cited by in corpus (24)

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• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
• Signatures of two- and three-dimensional semimetals from circular dichroism
• Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
• Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Anatomy of plasmons in generic Luttinger semimetals
• Chiral anomaly and internode scatterings in multifold semimetals
• Tunneling in an anisotropic cubic Dirac semi-metal
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Transmission through rectangular potentials in semimetals featuring quadratic dispersion
• Fano resonances in tilted Weyl semimetals in an oscillating quantum well
• Delta-function-potential junctions with quasiparticles occupying tilted bands with quadratic-in-momentum dispersion