Spin-orbit and exchange proximity couplings in graphene/1T-TaS${}_2$ heterostructure triggered by a charge density wave

Abstract

Proximity-induced fine features and spin-textures of the electronic bands in graphene-based van der Waals heterostructures can be explored from the point of tailoring a twist angle. Here we study spin-orbit coupling and exchange coupling engineering of graphene states in the proximity of 1T-TaS${}_2$ not triggering the twist, but a charge density wave in 1T-TaS${}_2$-a realistic low-temperature phase. Using density functional theory and effective model we found that the emergence of the charge density wave in 1T-TaS${}_2$ significantly enhances Rashba spin-orbit splitting in graphene and tilts the spin texture by a significant Rashba angle-in a very similar way as in the conventional twist-angle scenarios. Moreover, the partially filled Ta $d$-band in the charge density wave phase leads to the spontaneous emergence of the in-plane magnetic order that transgresses via proximity from 1T-TaS${}_2$ to graphene, hence, simultaneously superimposing along the spin-orbit also the exchange coupling proximity effect. To describe this intricate proximity landscape we have developed an effective model Hamiltonian and provided a minimal set of parameters that excellently reproduces all the spectral features predicted by the first-principles calculations. Conceptually, the charge density wave provides a highly interesting knob to control the fine features of electronic states and to tailor the superimposed proximity effects-a sort of twistronics without twist.

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• Hydrostatic pressure control of the spin-orbit proximity effect, spin relaxation, and thermoelectricity in a phosphorene-WSe${}_2$ heterostructure
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• Ferroelectric switching control of spin current in graphene proximitized by In${}_2$Se${}_3$
• Dirac-Rashba fermions and quantum valley Hall insulators in graphene-based 2D heterostructures
• Effect of Rashba spin-orbit coupling on topological phases in monolayer ZnIn2Te4
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