Topological edge-state engineering with high-frequency electromagnetic radiation

Hasan, Mehedi; Yudin, Dmitry; Iorsh, I. V.; Eriksson, Olle; Shelykh, I. A.

doi:10.1103/physrevb.96.205127

Cited by 15 publications

(16 citation statements)

References 59 publications

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“…In most of theoretical studies of Floquet topological materials, [57][58][59][60][61][62][63][64][65] an electron-light interaction is introduced exclusively by employing the Peierls phase transformgiven by the replacement of a Bloch momentum k by k + A(t) -, and effects of interband electric-dipole transitions are assumed to be negligibly small under the offresonant conditions that ω = E g or ω E g ; 43,45,64 the atomic units are used. Here, A(t) and E g represent a vector potential of the laser at t, and a bandgap of the concerned material, respectively.…”

Section: Introductionmentioning

confidence: 99%

Floquet-Weyl semimetals generated by an optically resonant interband-transition

Zhang,

Hino,

Maeshima

2022

Preprint

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Floquet-Weyl semimetals (FWSMs) generated by irradiation of a continuous-wave laser with lefthand circular polarization (rotating in counterclockwise sense with time) on II3-V2-type narrow gap semiconductor Zn3As2 are theoretically investigated, where the frequency of the laser is set nearly resonant with a band gap of the crystal. It is found that the excitation of the crystal by such a laser induce two types of FWSM phases that differ absolutely in characters. To be specific, the associated two pairs of Weyl points are stably formed by band touching between Floquet sidebands ascribable to a valence band labeled as Jz = ±3/2 and a conduction band labeled as Jz = ±1/2, where Jz represents the z-components of total angular momentum quantum number of Γ-point and a double sign corresponds. Here, one FWSM state composed of the up-spin Floquet sidebands relevant to Jz = 3/2 and 1/2 shows almost quadratic band-touching in the vicinity of the associated pair of Weyl points, while the other FWSM state composed of the down-spin Floquet sidebands relevant to Jz = −3/2 and −1/2 shows linear band-touching. Further, it is revealed that both up-spin and down-spin sidebands host nontrivial two-dimensional surface states that are pinned to the respective pairs of the Weyl points. Both surface states also show different energy dispersions and physical properties. More detailed discussion is made in the text on the origin of the above findings, chirality of the FWSM phases, laser-induced magnetic properties, and so on.

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Section: Introductionmentioning

confidence: 99%

Floquet-Weyl semimetals generated by an optically resonant interband-transition

Zhang,

Hino,

Maeshima

2022

Preprint

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“…As a consequence, the Floquet engineering of topological surface states (Floquet topological insulators) attracts attention as an effective tool to control their physical properties. Particularly, it is shown that the irradiation with a high-frequency electromagnetic field induces topological edge states in graphene 31,32 and semiconductor quantum wells 33,34 . Optically induced Weyl points have been predicted in topological insulators and Dirac semimetals [35][36][37][38][39] .…”

Section: Introductionmentioning

confidence: 99%

Optically induced topological states on the surface of mercury telluride

Kyriienko

Shelykh

2019

Phys. Rev. B

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We developed the theory which describes the Floquet engineering of surface electronic modes in bulk mercury telluride (HgTe) by a circularly polarized electromagnetic field. The analysis shows that the field results in appearance of the surface states which arise from the mixing of conduction and valence bands of HgTe. Their branches lie near the center of the Brillouin zone and have the Dirac dispersion characteristic for topological states. Besides them, the irradiation induces the gap between the conduction and valence bands of HgTe. Thus, the irradiation can turn mercury telluride into topological insulator from gapless semiconductor. It is demonstrated that the optically induced states differ substantially from the non-topological surface states existing in HgTe without irradiation. The structure of the found states is studied both analytically and numerically in the broad range of their parameters.

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“…Furthermore, the idea of utilizing off-resonant pumping to drive low-dimensional electronic systems to nontrivial topological phases has also been pushed forward [50][51][52][53][54] . For high-frequency electromagnetic fields the real processes of photon absorption or emission cannot occur because of the constraints imposed by the energy conservation.…”

Section: Introductionmentioning

confidence: 99%

Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators

2018

Self Cite

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Lowering of the thickness of a thin-film three-dimensional topological insulator down to a few nanometers results in the gap opening in the spectrum of topologically protected two-dimensional surface states. This phenomenon, which is referred to as the anomalous finite-size effect, originates from hybridization between the states propagating along the opposite boundaries. In this work, we consider a bismuth-based topological insulator and show how the coupling to an intense high-frequency linearly polarized pumping can further be used to manipulate the value of a gap. We address this effect within recently proposed Brillouin-Wigner perturbation theory that allows us to map a time-dependent problem into a stationary one. Our analysis reveals that both the gap and the components of the group velocity of the surface states can be tuned in a controllable fashion by adjusting the intensity of the driving field within an experimentally accessible range and demonstrate the effect of light-induced band inversion in the spectrum of the surface states for high enough values of the pump.

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Topological edge-state engineering with high-frequency electromagnetic radiation

Cited by 15 publications

References 59 publications

Floquet-Weyl semimetals generated by an optically resonant interband-transition

Floquet-Weyl semimetals generated by an optically resonant interband-transition

Optically induced topological states on the surface of mercury telluride

Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators

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