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

Fuente: arXiv
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Main Authors: Benhaida, O., Saidi, E. H., Drissi, L. B., Laamara, R. Ahl
Format: Preprint
Published: 2024
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author Benhaida, O.
Saidi, E. H.
Drissi, L. B.
Laamara, R. Ahl
author_facet Benhaida, O.
Saidi, E. H.
Drissi, L. B.
Laamara, R. Ahl
contents We investigate the topological properties of photon-dressed energy bands in bilayer $α-T_{3}$ 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 $t^{a,c}$, leading to the appearance of a Haldane-type Chern insulator in the absence of a magnetic field . At $α= 1/\sqrt{2}$, orbital magnetic moments of corrugated and flat bands exhibit opposite signs, as do their Berry curvatures. For $0 < α< 1$, 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 $0 < α< 1$ suggests applications in valley caloritronics and quantum sensing. At $α= 1$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17763
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Topological Properties of Bilayer $α-T_{3}$ Lattice Induced by Polarized Light
Benhaida, O.
Saidi, E. H.
Drissi, L. B.
Laamara, R. Ahl
Mesoscale and Nanoscale Physics
Other Condensed Matter
We investigate the topological properties of photon-dressed energy bands in bilayer $α-T_{3}$ 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 $t^{a,c}$, leading to the appearance of a Haldane-type Chern insulator in the absence of a magnetic field . At $α= 1/\sqrt{2}$, orbital magnetic moments of corrugated and flat bands exhibit opposite signs, as do their Berry curvatures. For $0 < α< 1$, 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 $0 < α< 1$ suggests applications in valley caloritronics and quantum sensing. At $α= 1$, 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.
title Topological Properties of Bilayer $α-T_{3}$ Lattice Induced by Polarized Light
topic Mesoscale and Nanoscale Physics
Other Condensed Matter
url https://arxiv.org/abs/2412.17763