Quantum Hall Effects in Silicene

Abstract

We investigate quantum Hall effects in silicene by applying electric field $E_z$ parallel to magnetic field. Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, and shares almost every remarkable property with graphene. A new feature is its buckled structure, due to which the band structure can be controlled externally by changing $E_z$. The low energy physics of silicene is described by massive Dirac fermions, where the mass is a function of $E_z$ and becomes zero at the critical field $E_{\text{cr}}$. We show that there are no zero energy states due to the Dirac mass term except at the critical electric field $E_{\text{cr}}$. Furthermore it is shown that the 4-fold degenerate zero-energy states are completely resolved even without considering Coulomb interactions. These features are highly contrasted with those in graphene, demonstrating that silicene has a richer structure. The prominent feature is that, by applying the electric field, we can control the valley degeneracy. As a function of $E_z$, Hall plateaux appear at the filling factors $\nu =0,\pm 1,\pm 2,\pm 3,...$ except for the points where level crossings occur.

7 pages, 6 figures

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Cited by in corpus (22)

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• Adsorption and absorption of Boron, Nitrogen, Aluminium and Phosphorus on Silicene: stability, electronic and phonon properties
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• Magneto-Optical Conductivity of Silicene and Other Buckled Honeycomb Lattices
• Thermoelectric effects in silicene nanoribbons
• Topological Dirac states beyond $\pi$ orbitals for silicene on SiC(0001) surface
• Topological Phase Transition and Electrically Tunable Diamagnetism in Silicene
• Quasi-Topological Insulator and Trigonal Warping in Gated Bilayer Silicene
• Landau levels and magnetic oscillations in gapped Dirac materials with intrinsic Rashba interaction
• Topological Phase Transitions and Quantum Hall Effect in the Graphene Family
• Hexagonally Warped Dirac Cones and Topological Phase Transition in Silicene Superstructure
• Dirac Theory and Topological Phases of Silicon Nanotube
• Zitterbewegung in monolayer silicene in a magnetic field
• Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
• Effects of parallel electric and magnetic fields on Rydberg excitons in buckled two-dimensional materials
• Magnetic oscillations in silicene
• Beating pattern in quantum magnetotransport coefficients of spin-orbit coupled Dirac fermions in gated silicene
• Topological properties of the mesoscopic graphene plaquette: QSHE due to spin imbalance
• Protected edge states in silicene antidots and dots in magnetic field
• Quantum Hall ferromagnets and transport properties of buckled Dirac materials
• Temperature effect on the magnetic oscillations in 2D materials
• Electric field tunable magnetoexcitons in Xenes-hBN-TMDC, Xenes-hBN-BP, and Xenes-hBN-TMTC heterostructures