Optical conductivity of gapped 
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 materials with a deformed flat band

Iurov, Andrii; Zhemchuzhna, Liubov; Gumbs, Godfrey; Huang, Danhong

doi:10.1103/physrevb.107.195137

Cited by 7 publications

(2 citation statements)

References 97 publications

(72 reference statements)

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“…The major issue addressed by many researchers has focused on how these graphene-like properties will be modified by the presence of an additional flat band. [71][72][73] Already, a variety of materials, with their electronic properties described approximately by an α-T 3 model, have already been identified and made by synthesis, and meanwhile, the presence of such a stable flat-band in their energy spectrum has been experimentally verified. Particularly, the so-called Lieb lattice, which has already been demonstrated in a number of different systems and wave-guides, [74][75][76] presents a new type of technologicallypromising pseudospin-1 Hamiltonian, and its corresponding inverted band structure reveals a finite bandgap as well as a flat band which lies within this bandgap but intersects the upper (valence) band at its bottom.…”

Section: Of 18mentioning

confidence: 99%

“…Finding the complete energy dispersions for the gapped α − T 3 model is a challenging problem, which involves solving a cubic equation. [56,73] However, it is relatively straightforward to verify that Hamiltonian (13) results in two inequivalent gaps between the conduction and flat, and the flat and the valence bands which depend on parameter α (or phase ϕ) and valley index τ.…”

Section: The α − T 3 Model With a Finite Gapmentioning

confidence: 99%

See 1 more Smart Citation

Floquet Modification of the Bandgaps and Energy Spectrum in Flat-Band Pseudospin-1 Dirac Materials

Iurov,

Mattis,

Zhemchuzhna

et al. 2024

Preprint

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In this paper, we investigate the so-called electronic dressed states, a unified quasiparticle resulting from the interaction between electrons in a two-dimensional material with an off-resonance optical dressing field. If the frequency of this field is much larger than all characteristic energies in the system, such as the Fermi energy or bandgap(s), the electronic band structure is affected by radiation so that some important properties of the electron dispersions could be modified in a way desirable for practical applications. For example, a circularly polarized light can be used to vary the bandgap of Dirac materials: it opens a gap in graphene and other metallic and semimetallic lattices, or modifies the magnitude of an existing gap. This will either enhance or reduce a gap, depending on its initial value as well as properties of a host material. Here, we consider gaped dice and Lieb lattices as samples, and put forward a full theoretical model to reveal how these electronic states are deformed by an elliptically-polarized irradiation with a focus on generation and modification of a bandgap.

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