Geometrical structure and the electron transport properties of monolayer and bilayer silicene near the semimetal-insulator transition point in tight-binding model

Abstract

We investigate the electron properties of the monolayer and bilayer silicene which is the honeycomb lattice consist of silicon atoms, including the optical conductivity and charged impurity scattering, due to the quasipatricle Dirac-like behaviors near the K-point of silicene. The spin, valley, sublattice degrees of freedom are taken into consider in the multi-band tight-binding model. In momentum space, the scattering matrix which connects the two bare (without interaction) Green's functions in the quasiparticle momentum transport process, could be momentum-independent for the single impuirity configuration, which is similar to the case with small Coulomb coupling in the low-energy Dirac semimetallic system. While in the zero-frequency limit, or the frequency-independent case in the strong Coulomb coupling regime, the static polarization can be obtained by the random-phase-approximation, and it's important for the determination of the screened Coulomb scattering by the charge impurity. The antiferromagnetic order in the silicene is Hubbard-U-dependent, unlike the square lattice which with the antiferromagnetic ground state, and provides the premise of the phase transition from the nonmagnetic semimetal phase to the insulator one. We found that in the absence of electric field, the critical value of the phase transition from semimetal to insulator is 9 eV for the clear monolayer silicene, and is 12 eV for the 2nd AA-stacked bilayer silicene or the dirty monolayer silicene whcih with impurity strength 4 eV. While the behaviors of 1st AA-stacked bilayer silicene is found similar to the monolayer one. The in-plane optical conductivity also shows the same results.

arXiv admin note: text overlap with arXiv:1804.01695

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Cited by in corpus (11)

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• Many-electron effect to the dynamical polarization of silicene-like two-dimension Dirac materials
• Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture
• Anomalous Rabi oscillation and related dynamical polarizations under the off-resonance circularly polarized light
• Josephson effect in silicene-based SNS Josephson junction: Andreev reflection and free energy
• Electronic properties of the parabolic Dirac system
• Dynamical polarization, plasmon model, and the Friedel oscillation of the screened potential in doped Dirac and Weyl system
• Electronic transport and dynamical polarization in bilayer silicene-like system
• Dynamical current-current correlation in the two-dimensional parabolic Dirac system
• Dynamical polarization and the optical response of silicene and related materials