2013
DOI: 10.1103/physrevb.88.121403
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Electron-phonon coupling in two-dimensional silicene and germanene

Abstract: Following the work in graphene, we report a first-principles study of electron-phonon coupling (EPC) in low-buckled (LB) monolayer silicene and germanene. Despite of the similar honeycomb atomic arrangement and linear band dispersion, the EPC matrix-element squares of the Γ-Eg and K-A1 modes in silicene are only about 50% of those in graphene. However, the smaller Fermi velocity in silicene compensates this reduction by providing a larger joint electronic density of states near the Dirac point. We predict that… Show more

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Cited by 113 publications
(103 citation statements)
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References 39 publications
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“…DFT calculations suggest the presence of three optical phonon branches at Γ: a ZO mode, related to out-of-plane optical phonons, and energetically degenerate TO and LO phonons. While the position of the ZO branch at Γ, is close to the experimentally observed A modes, the degenerate TO/LO branches (562 cm −1 [26], ∼550 cm −1 [27], ∼556 cm −1 [28]) do not match the E mode of epitaxial silicene (514 cm ) (see also figure 3(a)). Such a discrepancy can be explained by the significant interaction between the Si adlayer and the substrate, the different atomic arrangement caused by the superstructure formation of´( ) ( ) 3 3 4 4 silicene, and the related modified hybridization state with respect to freestanding silicene [11].…”
Section: Experimental and Theoretical Detailssupporting
confidence: 67%
“…DFT calculations suggest the presence of three optical phonon branches at Γ: a ZO mode, related to out-of-plane optical phonons, and energetically degenerate TO and LO phonons. While the position of the ZO branch at Γ, is close to the experimentally observed A modes, the degenerate TO/LO branches (562 cm −1 [26], ∼550 cm −1 [27], ∼556 cm −1 [28]) do not match the E mode of epitaxial silicene (514 cm ) (see also figure 3(a)). Such a discrepancy can be explained by the significant interaction between the Si adlayer and the substrate, the different atomic arrangement caused by the superstructure formation of´( ) ( ) 3 3 4 4 silicene, and the related modified hybridization state with respect to freestanding silicene [11].…”
Section: Experimental and Theoretical Detailssupporting
confidence: 67%
“…Our results clearly show that the in-plane elastic response of bilayer silicene is nearly isotropic with almost the same sound speed, v s = 8.87 km/s, along the Γ-M and Γ-K directions. Such isotropic character in sound speed was also identified in silicene monolayer with v s = 9.49 km/s, 34 suggesting slightly higher in-plane stiffness for silicene monolayer than bilayer silicene. To further verify thermodynamic stability, we also carried out the Born-Oppenheimer molecular dynamics simulations using a relatively large 10 × 10 supercell containing 400 Si atoms.…”
Section: Monolayermentioning
confidence: 60%
“…The highest optical branch is located at the Γ-point, which belongs to a doubly degenerate mode with a frequency of ω Γ = 521 cm −1 . This mode is Raman active and nearly 10 cm −1 higher than the highest optical mode (510 cm −1 in LDA) in bulk silicon 33 while 40 cm −1 lower than the highest optical mode in silicene monolayer, 34 which again suggests stronger sp 3 hybridization in bilayer silicene than silicene monolayer. The slopes of the longitudinal acoustic branches near the Γ-point correspond to the speed of sound, indicating the in-plane stiffness.…”
Section: Monolayermentioning
confidence: 92%
“…1). The out-of-plane corrugation of 0.57Å is larger than the ab-initio value of 0.44Å, while the relaxed lattice parameter of 3.83Å is equal to the ab-initio result [3,4,5,16]. The corrugation of silicene is essential for stabilizing the lattice and avoiding imaginary phonon frequencies of the out-of-plane acoustic phonons.…”
Section: Resultsmentioning
confidence: 84%