Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice

Abstract

The $\alpha$-$T_3$ lattice, an interpolation model between the honeycomb lattice of graphene($\alpha =0$) and the dice lattice($\alpha =1$), undergoes a topological phase transition across $\alpha =1/\sqrt{2}$ when exposed to a circularly polarized off-resonant light. We study Berry phase mediated bulk magnetic and anomalous thermoelectric responses in order to capture the topological signatures of a driven $\alpha$-$T_3$ lattice. It is revealed that both the Berry curvature and the orbital magnetic moment associated with the flat band change their respective signs across $\alpha =1/\sqrt{2}$. The off-resonant light distorts the flat band near the Dirac points when $0<\alpha <1$ which eventually introduces two distinct well separated forbidden gaps of equal width in the quasienergy spectrum. The orbital magnetization varies linearly with the chemical potential, in the forbidden gaps. The slopes of the linear regions in the orbital magnetization are closely related to the respective Chern numbers on either side of $\alpha =1/\sqrt{2}$. We find that the slope for $\alpha >1/\sqrt{2}$ is approximately two times of that for $\alpha <1/\sqrt{2}$ which essentially indicates a topological phase transition across $\alpha =1/\sqrt{2}$. However, the anomalous Nernst coefficient vanishes when the chemical potential is tuned in the forbidden gaps. The anomalous Hall conductivity in the forbidden gap(s) approaches different quantized values on either side of $\alpha =1/\sqrt{2}$. All these topological signatures can be observed experimentally.

12 pages, 15 figures

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Cited by in corpus (10)

• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Optical conductivity of bilayer dice lattices
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Anomalous transport in pseudospin-1 fermions
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Emergent topology of flat bands in a twisted bilayer $\alpha$-$T_3$ lattice
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• 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