Tight-binding model and ab initio calculation of silicene with strong spin-orbit coupling in low-energy limit

Abstract

We carry out both the tight-binding model and the $abinitio$ to study the layered silicene, the spin, valley, sublattice degrees of freedom are taken into consider and the effects of electric field, magnetic field, and even the light in finite frequency together with its interesting optical propertice, which are all closely related to the spin-orbit coupling and Rashba coupling and lead to the tunable phase transitions (between the nontrivial topological phase which has nonzero Chern number or nonzero spin Chern number and the trivial phase). An exotic quantum anomalous Hall insulator phase are found which has nonzero spin Chern number and nonzero valley Chern number and as a giant-application-potential spintronic and valleytronics in the two-ternimate devices based on the monolayer silicene for the information transmission. In fact, the gap-out action can be understanded by analyse the Dirac mass as well as the Zeeman splitting or the external-field-induced symmetry-broken, and the changes of gap has a general nonmonotone-variation characteristic under both the effects of electron filed-induced Rashba-coupling $R_2(E_{\perp })$ and the electron field-induced band gap, and the band inversion related to the spin-orbit coupling which absorbs both the spin and orbital angular of momentum may happen during this process. The quantized Hall/longitudinal conductivity together with the optical conductivity are also explored, we see that even in the quantum spin Hall phase without any magnetic field, the two-terminate conductivity can be reduced to the value $e^2/h$ by controlling the helical edge model, and it can be further reduced to $e^2/2h$ by applying the magnetic field which similar to the graphene.

80 papges, 23 figures

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Cited by in corpus (10)

• Integer quantum Hall conductivity and longitudinal conductivity in silicene under the electric field and magnetic field
• Geometrical structure and the electron transport properties of monolayer and bilayer silicene near the semimetal-insulator transition point in tight-binding model
• Electronic transport and the related anomalous effects in silicene-like hexagonal lattice
• Many-electron effect to the dynamical polarization of silicene-like two-dimension Dirac materials
• 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 polarization and the optical response of silicene and related materials