Peculiar electronic states, symmetries and Berry phases in irradiated $\alpha$-$T_3$ materials

Abstract

We have laid out the results of a rigorous theoretical investigation into the response of electron dressed states, i.e., interacting Floquet states arising from the off-resonant coupling of Dirac spin-1 electrons in the $\alpha$-$T_3$ model, to external radiation with various polarizations. Specifically, we have examined the role played by the parameter $\alpha$ that is a measure of the coupling strength with the additional atom at the center of the honeycomb graphene lattice and which, when varied, continuously gives a different Berry phase. We have found that the electronic properties of the $\alpha$ -$T_3$ model (consisting of a flat band and two cones) could be modified depending on the polarization of the imposed irradiation. We have demonstrated that under elliptically-polarized light the low-energy band structure of such lattice directly depends on the valley index $\tau$. We have obtained and analyzed the corresponding wave functions, their symmetries and the corresponding Berry phases, and revealed that such phases could be finite even for a dice lattice, which has not been observed in the absence of the dressing field. This results lead to possible radiation-generated band structure engineering, as well as experimental and technological realization of such optoelectronic devices and photonic crystals.

24 pages, 6 figures

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Cited by in corpus (46)

• Unconventional phases in a Haldane model of dice lattice
• Quantum-statistical theory for laser-tuned transport and optical conductivities of dressed electrons in $α-\mc{T}_3$ materials
• Generalized WKB theory for electron tunneling in gapped $\alpha -{\mathcal{T}}_3$ lattices
• Dynamical Floquet spectrum of Kekulé-distorted graphene under normal incidence of electromagnetic radiation
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Gap generation and flat band catalysis in dice model with local interaction
• Optical conductivity of semi-Dirac and pseudospin-1 models: Zitterbewegung approach
• Many-Body Effects and Optical Properties of Single- and Double Layer $\alpha$-${\mathcal{T}}_3$ Lattices
• Dynamical optical conductivity for gapped $\alpha -{\mathcal{T}}_3$ materials with a curved "flat" band
• Electron transitions for Dirac Hamiltonians with flat-bands under electromagnetic radiation and its application to the $\alpha -{\mathcal{T}}_3$ graphene model
• Floquet engineering of excitons in semiconductor quantum dots
• Photoinduced interfacial chiral modes in threefold topological semimetal
• Magnon-magnon interaction and magnon relaxation time in ferromagnetic Cr2Ge2Te6 monolayer
• Floquet spectrum for anisotropic and tilted Dirac materials under linearly polarized light at all field intensities
• Light-induced bound electron states in two-dimensional systems: Contribution to electron transport
• Floquet engineering of the Luttinger Hamiltonian
• Floquet theory of spin dynamics under circularly polarized light pulses
• Optical conductivity of bilayer dice lattices
• Floquet engineering of Dirac cones on the surface of a topological insulator
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Optically induced persistent current in carbon nanotubes
• Tunneling valley Hall effect induced by coherent geometric phase
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Electronic spectrum and optical properties of Y-shaped Kekule-patterned graphene: Band nesting resonance as an optical signature
• Optically induced resonant tunneling of electrons in nanostructures
• Superfluidity of dipolar excitons in a double layer of $\alpha -T_3$ with a mass term
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• Electrical and thermal transport through $\alpha -T_3$ NIS junction
• Band Tuning of Phosphorene Semiconductor via Floquet Theory
• Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices
• Radiation-induced magnetoresistance oscillations with massive Dirac fermions
• Differential entropy per particle as a probe of van Hove singularities and flat bands
• Tuned gap in graphene through laser barrier
• All-optical control of excitons in semiconductor quantum wells
• Influence of Dynamical Floquet Spectrum on the Plasmon Excitations and Exchange Energy of tilted monolayer 1T${}^{\prime }$MoS${}_2$
• Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Developing a semiclassical Wentzel-Kramers-Brillouin theory for $\alpha -{\mathcal{T}}_3$ model
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses
• Pseudospin-one particles in the time-periodic dice lattice: A new approach to transport control
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry
• Optically induced delocalization of electrons bound by attractive potentials
• Floquet engineering of spin-valley selective transport in jacutingaite
• Surface states and finite size effects in triple-fold semimetals