Induced spin-orbit coupling in twisted graphene-TMDC heterobilayers: twistronics meets spintronics

Abstract

We propose an interband tunneling picture to explain and predict the interlayer twist angle dependence of the induced spin-orbit coupling in heterostructures of graphene and monolayer transition metal dichalcogenides (TMDCs). We obtain a compact analytic formula for the induced valley Zeeman and Rashba spin-orbit coupling in terms of the TMDC band structure parameters and interlayer tunneling matrix elements. We parametrize the tunneling matrix elements with few parameters, which in our formalism are independent of the twist angle between the layers. We estimate the value of the tunneling parameters from existing DFT calculations at zero twist angle and we use them to predict the induced spin-orbit coupling at non-zero angles. Provided that the energy of the Dirac point of graphene is close to the TMDC conduction band, we expect a sharp increase of the induced spin-orbit coupling around a twist angle of 18 degrees.

arXiv comment16 pages (including appendices), 6 figures

References in corpus (49)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Atomically thin MoS2: A new direct-gap semiconductor
• Van der Waals heterostructures
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Quantum Spin Hall Effect in Graphene
• Moire bands in twisted double-layer graphene
• Graphene Spintronics
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Band-structure topologies of graphene: spin-orbit coupling effects from first principles
• Twistable electronics with dynamically rotatable heterostructures
• Schrieffer-Wolff transformation for quantum many-body systems
• Spin-Orbit Proximity Effect in Graphene
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Electronic Properties of Graphene Encapsulated with Different Two-Dimensional Atomic Crystals
• Strong interface-induced spin-orbit coupling in graphene on WS2
• Fermi velocity engineering in graphene by substrate modification
• Graphene on transition-metal dichalcogenides: a platform for proximity spin-orbit physics and optospintronics
• Spin-orbit coupling, quantum dots, and qubits in monolayer transition metal dichalcogenides
• Trivial and inverted Dirac bands, and emergence of quantum spin Hall states in graphene on transition-metal dichalcogenides
• Spin lifetimes exceeding 12 nanoseconds in graphene non-local spin valve devices
• Room temperature spin Hall effect in graphene/MoS${}_2$ van der Waals heterostructures
• Strongly anisotropic spin relaxation in graphene/transition metal dichalcogenide heterostructures at room temperature
• \textit{Ab-initio} Tight-Binding Hamiltonian for Transition Metal Dichalcogenides
• Giant Spin Lifetime Anisotropy in Graphene Induced by Proximity Effects
• Transport Between Twisted Graphene Layers
• Large Proximity-Induced Spin Lifetime Anisotropy in Transition Metal Dichalcogenide/Graphene Heterostructures
• A two-dimensional spin field-effect transistor
• Spin transport in graphene/transition metal dichalcogenide heterostructures
• Origin and magnitude of 'designer' spin-orbit interaction in graphene on semiconducting transition metal dichalcogenides
• Tunable spin-orbit coupling and symmetry-protected edge states in graphene/WS${}_2$
• Large spin relaxation anisotropy and valley-Zeeman spin-orbit coupling in WSe2/Gr/hBN heterostructures
• Strong electron-hole symmetric Rashba spin-orbit coupling in graphene/monolayer transition metal dichalcogenide heterostructures
• Intrinsic spin-orbit coupling gap and the evidence of a topological state in graphene
• Interlayer interaction in general incommensurate atomic layers
• Twist-angle dependence of the proximity spin-orbit coupling in graphene on transition-metal dichalcogenides
• Strong Spin-Orbit Interaction Induced in Graphene by Monolayer WS${}_2$
• 24 \textmu m length spin relaxation length in boron nitride encapsulated bilayer graphene
• Magnetotransport in heterostructures of transition metal dichalcogenides and graphene
• Protected pseudohelical edge states in proximity graphene ribbons and flakes
• Quantum spin Hall states in graphene interacting with WS${}_2$ or WSe${}_2$
• Observation of spin-valley coupling induced large spin lifetime anisotropy in bilayer graphene
• Nanosecond spin relaxation times in single layer graphene spin valves with hexagonal boron nitride tunnel barriers
• Spin transport in high-mobility graphene on WS${}_2$ substrate with electric-field tunable proximity spin-orbit interaction
• Mass inversion in graphene by proximity to dichalcogenide monolayer
• Topological phases and twisting of graphene on a dichalcogenide monolayer
• Weak localization in transition metal dichalcogenide monolayers and their heterostructures with graphene

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