Electronic band evolution between Lieb and kagome nanoribbons
We investigate the electronic properties of nanoribbons made out of monolayer Lieb, transition, and kagome lattices using the tight-binding model with a generic Hamiltonian. It allows us to map the evolutionary stages of the interconvertibility process between Lieb and kagome nanoribbons by means of...
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Main Authors | , , , , , |
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Format | Journal Article |
Language | English |
Published |
28.08.2024
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Subjects | |
Online Access | Get full text |
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Summary: | We investigate the electronic properties of nanoribbons made out of monolayer
Lieb, transition, and kagome lattices using the tight-binding model with a
generic Hamiltonian. It allows us to map the evolutionary stages of the
interconvertibility process between Lieb and kagome nanoribbons by means of
only one control parameter. Results for the energy spectra, the density of
states, and spatial probability density distributions are discussed for
nanoribbons with three types of edges: straight, bearded, and asymmetric. We
explore for different nanoribbon terminations: (i) the semiconductor-metallic
transition due to the interconvertibility of the Lieb and kagome lattices, (ii)
the effect of both nanoribbon width and inclusion of the next-nearest-neighbor
hopping term on the degeneracy of the quasi-flat states, (iii) the behavior of
the energy gap versus the nanoribbon width, (iv) the existence and evolution of
edge states, and (v) the nodal spatial distributions of the total probability
densities of the non-dispersive states. |
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DOI: | 10.48550/arxiv.2408.15764 |