Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice

Abstract

We investigate topological characteristics of the photon-dressed band structure of $\alpha$-${\mathcal{T}}_3$ lattice on being driven by off-resonant circularly polarized radiation. We obtain exact analytical expressions of the quasienergy bands over the first Brillouin zone. The broken time-reversal symmetry caused by the circularly polarized light lifts the triple point degeneracy completely at both the Dirac points. The gaps become unequal at $\mathbf{K}$ and ${\mathbf{K}}^{\prime }$ (except at $\alpha =0$ and 1), which reveals the absence of inversion symmetry in the system. At $\alpha =1/\sqrt{2}$, the gap between flat and valence bands closes at $\mathbf{K}$, while that between conduction and flat bands closes at ${\mathbf{K}}^{\prime }$, thereby restoring a semimetalic phase. At the gap closing point ($\alpha =1/\sqrt{2}$) which is independent of the radiation amplitude, there is a reappearance of low-energy Dirac cones around $\mathbf{K}$ and ${\mathbf{K}}^{\prime }$ points. Under the influence of the circularly polarized radiation, the $\alpha$-${\mathcal{T}}_3$ lattice is transformed from semimetal to a Haldane-like Chern insulator characterized by non-zero Chern number. The system undergoes a topological phase transition from $\mathcal{C}=1(-1)$ to $\mathcal{C}=2(-2)$ at $\alpha =1/\sqrt{2}$, where $\mathcal{C}$ is the Chern number of the valence (conduction) band. This sets an example of a multiband system having larger Chern number. These results are supported by the appearance of chiral edge states in irradiated $\alpha$-${\mathcal{T}}_3$ nanoribbon.

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• 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
• Flat Bands and Ferrimagnetic Order in Electronically Correlated Dice-Lattice Ribbons
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Many-Body Effects and Optical Properties of Single- and Double Layer $\alpha$-${\mathcal{T}}_3$ Lattices
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Effect of magnetic field and chemical potential on the RKKY interaction in the $\alpha$-${\mathcal{T}}_3$ lattice
• 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
• Magnetoplasmons for the $\alpha$-T${}_3$ model with filled Landau levels
• Photoinduced interfacial chiral modes in threefold topological semimetal
• Magnon-magnon interaction and magnon relaxation time in ferromagnetic Cr2Ge2Te6 monolayer
• Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Fractal defect states in the Hofstadter butterfly
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Tunneling valley Hall effect induced by coherent geometric phase
• Lieb lattices and pseudospin-1 dynamics under barrier- and well-like electrostatic interactions
• Superfluidity of dipolar magnetoexcitons in doped double-layered $\alpha$-${\mathcal{T}}_3$ lattice in a strong magnetic field
• Electrical and thermal transport through $\alpha -T_3$ NIS junction
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• Superfluidity of dipolar excitons in a double layer of $\alpha -T_3$ with a mass term
• Band Tuning of Phosphorene Semiconductor via Floquet Theory
• Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices
• Emergent topology of flat bands in a twisted bilayer $\alpha$-$T_3$ lattice
• Photoinduced metallic Volkov-Pankratov states in semi-Dirac material
• Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles
• Current distribution and group velocities for electronic states on $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Developing a semiclassical Wentzel-Kramers-Brillouin theory for $\alpha -{\mathcal{T}}_3$ model
• Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
• Topological Properties of Bilayer $\alpha -T_3$ Lattice Induced by Polarized Light
• Superconductivity and geometric superfluid weight of a tunable flat band system
• Enhanced Andreev Reflection in Flat-Band Systems: Wave Packet Dynamics, DC Transport and the Josephson Effect
• Volkov-Pankratov states in a driven semimetal for a generic interface
• Floquet engineering of spin-valley selective transport in jacutingaite
• Floquet-Engineered Valley-Topotronics in Kekulé-Y Bond Textured Graphene Superlattice
• Topological phases of monolayer and bilayer depleted Lieb lattices