Topological Properties of Bilayer α−T3$\alpha -T_{3}$ Lattice Induced by Polarized Light

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Abstract Tthe topological properties of photon‐dressed energy bands are investigated in bilayer lattices under off‐resonant circularly polarized light, focusing on aligned and cyclic stacking configurations. Analytical expressions for quasi‐energy bands are derived for aligned stacking, while numerical results address cyclic stacking at Dirac points. Circularly polarized light breaks the time‐reversal symmetry, lifting the degeneracies at the intersections , leading to the appearance of a Haldane‐type Chern insulator in the absence of a magnetic field. At , orbital magnetic moments of corrugated and flat bands exhibit opposite signs, as do their Berry curvatures. For , light‐induced band deformations near Dirac points create gaps in the quasi‐energy spectrum, where the chemical potential modulates orbital magnetization. Linear magnetization variations align with Chern numbers, yielding quantized anomalous Hall conductivity across stacking types. Notable particle‐hole symmetry breaking within suggests applications in valley caloritronics and quantum sensing. At , flat and corrugated bands remain undistorted; while the flat band contributes no Berry curvature, it produces a finite negative orbital magnetic moment, contrasting with the positive moment of the corrugated band.

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