Selection rule for the optical spectrum of armchair-edge silicene nanoribbons

Bao, Hairui; Liao, Wenhu; Jun-ji, Guo; Yang, Xuexian; Zhao, Heping; Zhou, Guanghui

doi:10.1088/0022-3727/48/45/455306

Cited by 4 publications

(9 citation statements)

References 30 publications

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“…24,42 Optical conductivity measurements can be used as a sensitive means to demonstrate the signatures of spin-and valley-dependent properties of silicene. 46,47 Motivated by the significance of interactions, enhanced by externally applied fields, in the transport and optical properties of the system, we calculate the zero-temperature self-energy of an n-type doped silicene including the electron-electron interaction in the presence of the perpendicular electric and exchange fields within the G 0 W approximation. The effective interaction is given by the dynamical random phase approximation (RPA).…”

Section: Introductionmentioning

confidence: 99%

Many-body effects due to the electron–electron interaction in silicene under an applied exchange field: The case of valley–spin coupling

Mirzaei

Vazifehshenas

Salavati-fard

et al. 2020

Journal of Applied Physics

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We investigate the many-body effects induced by the electron-electron interaction in a valley-spin-polarized silicene under a perpendicularly applied exchange field. We calculate the real and imaginary parts of the self-energy within the leading order dynamical screening approximation where the screened interaction is obtained from the random phase approximation. Our study on the valley-and spin-dependent real and imaginary parts of the self-energy indicates that the different coupled valley-spin subbands may exhibit distinct characteristics. Moreover, we obtain the corresponding spectral functions and find that the plasmaron and quasiparticle peaks have different spectral weights and broadenings in all states. Interestingly, it seems that there are clear dependencies for the position and broadening of the peaks on valley-spin indexes. In addition, we study the effect of the electron-electron interaction on the renormalized velocity in the on-shell approximation and show that the renormalized velocity in gapped states becomes greater, and in gapless states, it becomes smaller as the wave vector grows.

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Section: Introductionmentioning

confidence: 99%

Many-body effects due to the electron–electron interaction in silicene under an applied exchange field: The case of valley–spin coupling

Mirzaei

Vazifehshenas

Salavati-fard

et al. 2020

Journal of Applied Physics

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“…Furthermore, the optical response in different energy ranges, such as infrared and terahertz frequency regimes of the buckled silicene, [35−37] other than the obtained optical spectra for armchairedge silicene nanoribbons, have been demonstrated recently. [38] However, to date there have been rare theoretical investigations [39,40] on the interesting optical response from infrared to visible for ZSiNRs, and these significant issues are addressed in the present work.…”

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confidence: 98%

“…The plane-wave basis is along with the 𝑥-direction according to the translational invariance. Within the framework of the hard-wall boundary condition, the tightbinding energy spectrum [38,44,45] for 𝑁 -ZSiNR is…”

mentioning

confidence: 99%

“…( 1) can be ignored since the spin-orbit coupling is much smaller than that of the nearest-neighbor hopping energy. [38] Furthermore, when the longitudinal wave vector 𝑘 𝑥 is located at the interval of 2 arccos[𝑁/2(𝑁 + 1)] < |𝑘 𝑥 𝑎| < 𝜋, the band spectrum [45] for edge state can be written as 𝐸 ES = ±𝑡 sinh 𝜏 /[sinh(𝑁 + 1)𝜏 ], where the wave vector 𝜏 (in units of 1/𝑎) can be obtained from sinh(𝑁 𝜏 ) = 2 cos(𝑘 𝑥 𝑎/2) sinh[(𝑁 + 1)𝜏 ]. One notes that the edge states for ZSiNRs are localized on the zigzag edge [44−47] and decay exponentially into the center.…”

mentioning

confidence: 99%

“…Furthermore, the imaginary part of the dielectric function [37,38] for 𝑁 -ZSiNRs irradiated by an external electromagnetic field reads…”

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confidence: 99%

See 2 more Smart Citations

Width-Dependent Optical Properties for Zigzag-Edge Silicene Nanoribbons

Bao¹,

Liao²,

Zhang³

et al. 2018

Chinese Phys. Lett.

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We study theoretically the optical response for perfect zigzag-edge silicene nanoribbons with N silicon atoms of the A and B sublattices (N-ZSiNRs) under the irradiation of an external electromagnetic field at low temperatures. The 8- and 16-ZSiNRs are demonstrated to exhibit a broad energy regime of absorption coefficient, refractive index, extinction coefficient, and reflectivity from infrared to ultraviolet, utilizing the dipole-transition theorem for semiconductors. The optical spectra for 8- and 16-ZSiNRs may be classified into two types of the transitions, one between valence and conduction subbands with the same parity, and the other among the edge state and bulk state subbands. With the increase of the ribbon width, the optical spectra for ZSiNRs are proved to exhibit red shift and blue shift at the lower and higher energy regimes, respectively. The obtained novel features are believed to be of significance in designs of silicene-based optoelectronic devices.

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