Tunable Berry curvature, valley and spin Hall effect in Bilayer MoS${}_2$

Abstract

The chirality of electronic Bloch bands is responsible for many intriguing properties of layered two-dimensional materials. We show that in bilayers of transition metal dichalcogenides (TMDCs), unlike in few-layer graphene and monolayer TMDCs, both intra-layer and inter-layer couplings give important contributions to the Berry-curvature in the $K$ and $-K$ valleys of the Brillouin zone. The inter-layer contribution leads to the stacking dependence of the Berry curvature and we point out the differences between the commonly available 3R type and 2H type bilayers. Due to the inter-layer contribution the Berry curvature becomes highly tunable in double gated devices. We study the dependence of the valley Hall and spin Hall effects on the stacking type and external electric field. Although the valley and spin Hall conductivities are not quantized, in MoS${}_2$ 2H bilayers they may change sign as a function of the external electric field which is reminiscent of the behaviour of lattice Chern insulators.

arXiv comment19 pages, 6 figures

References in corpus (33)

• Berry Phase Effects on Electronic Properties
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Anomalous Hall effect
• Control of valley polarization in monolayer MoS2 by optical helicity
• Valley polarization in MoS2 monolayers by optical pumping
• MoS_2 as an ideal material for valleytronics: valley-selective circular dichroism and valley Hall effect
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Dissipationless Quantum Spin Current at Room Temperature
• The Valley Hall Effect in MoS2 Transistors
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Electrical Tuning of Valley Magnetic Moment via Symmetry Control
• Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
• Electrical control of the valley Hall effect in bilayer MoS2 transistors
• Robust optical emission polarization in MoS2 monolayers through selective valley excitation
• Monolayer MoS2: trigonal warping, "Γ-valley", and spin-orbit coupling effects
• Manipulation of the large Rashba spin splitting in polar two-dimensional transition metal dichalcogenides
• Magnetoelectric effects and valley controlled spin quantum gates in transition metal dichalcogenide bilayers
• Spin-orbit coupling, quantum dots, and qubits in monolayer transition metal dichalcogenides
• Effective lattice Hamiltonian for monolayer MoS2 : Tailoring electronic structure with perpendicular electric and magnetic fields
• \textit{Ab-initio} Tight-Binding Hamiltonian for Transition Metal Dichalcogenides
• Optical investigation of the natural electron doping in thin MoS2 films deposited on dielectric substrates
• First-principles theory of field-effect doping in transition-metal dichalcogenides: Structural properties, electronic structure, Hall coefficient, and electrical conductivity
• Giant Zeeman splitting inducing near-unity valley polarization in van der Waals heterostructures
• Theory of spin-orbit coupling in bilayer graphene
• Berry phase modification to the energy spectrum of excitons
• Microscopic Origin of the Valley Hall Effect in Transition Metal Dichalcogenides Revealed by Wavelength Dependent Mapping
• Optical Selection Rule of Excitons in Gapped Chiral Fermion Systems
• Two-Dimensional Valley Electrons and Excitons in Noncentrosymmetric 3R MoS${}_2$
• Group theoretical and topological analysis of the quantum spin Hall effect in silicene
• Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene
• Electromagnetic coupling of spins and pseudospins in bilayer graphene

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• Magneto-optical properties of bilayer transition metal dichalcogenides
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• Berry-electrodynamics - Anomalous drift and pumping from time-dependent Berry connection
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• Comparing the Extrinsic Orbital Hall Effect in Centrosymmetric and Noncentrosymmetric Systems: Insights from Bilayer Transition Metal Dichalcogenides
• Orbital Hall effect from orbital magnetic moments of Bloch states: the role of a new correction term