Abstract
In the current work, the effect of extrinsic Rashba spin-orbit coupling (RSOC) on the electronic band structure (BS) and magnetic susceptibility (MS) of ferromagnetic silicene is investigated in the presence of external perpendicular electric field. The Kane-Mele Hamiltonian and Dirac cone approximation besides the Green’s functions approach have been used to study the MS of the spin-up and spin-down bands. By changing the electric field, energy of the inter-band transitions and MS are tuned. Our findings show that MS could be easily controlled by an external electric field and RSOC. The system shows three phases: Topological insulator (TI), valley-spin polarized metal (VSPM) and band insulator (BI) for various RSOC and electric field strengths. The maximum and minimum value of MS appears in the VSPM and BI regimes, respectively. RSOC leads to the distortion of BS and reduction of the effective mass which in combination with SOC provides some changes like phase transition of VSPM from antiferromagnetic to the paramagnetic phase. Strong RSOC results to the drastic reduction of MS and double peak of the spin-up or spin-down curves at low temperatures.
Highlights
Silicene, the silicon (Si) version of graphene on a honeycomb geometry, after being synthesized in 20041–3 has gathered a great deal of theoretical and experimental attention.[3,4,5,6,7,8,9,10] Considering that carbon and silicon reside in the same column on the chemical periodic table, similarities with graphene and fascinating properties due to a Dirac-like electronic dispersion around the K point of the first Brillouin zone (FBZ) are theoretically foreseen
We have investigated the effects of Rashba spin-orbit coupling (RSOC) on the band structure and magnetic susceptibility of a ferromagnetic silicene in three aforementioned phases
For ∆z = 0, the spin degeneracy is witnessed with energy bands separated by an insulating gap of 2∆SO and system is in the Topological insulator (TI) regime
Summary
The silicon (Si) version of graphene on a honeycomb geometry, after being synthesized in 20041–3 has gathered a great deal of theoretical and experimental attention.[3,4,5,6,7,8,9,10] Considering that carbon and silicon reside in the same column on the chemical periodic table, similarities with graphene and fascinating properties due to a Dirac-like electronic dispersion around the K point of the first Brillouin zone (FBZ) are theoretically foreseen. Larger radius of the silicon atoms makes the A and B sublattices of the silicene two-dimensional (2D) lattice sit on different planes with a vertical displacement of d ≈ 0.46 Å.9,11 Studying χ(T ) of monolayer ferromagnetic silicene lattice in the presence of RSOC constitutes the main aim of this work
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