Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van der Waals heterostructures

Abstract

We investigate the proximity spin-orbit and exchange couplings in ABA and ABC trilayer graphene encapsulated within monolayers of semiconducting transition-metal dichalcogenides and the ferromagnetic semiconductor Cr${}_2$Ge${}_2$Te${}_6$. Employing first-principles calculations we obtain the electronic structures of the multilayer stacks and extract the relevant proximity-induced orbital and spin interaction parameters by fitting the low-energy bands to model Hamiltonians. We also demonstrate the tunability of the proximity effects by a transverse electric field. Using the model Hamiltonians we also study mixed spin-orbit/exchange coupling encapsulation, which allows to tailor the spin interactions very efficiently by the applied field. We also summarize the spin-orbit physics of bare ABA, ABC, and ABB trilayers, and provide, along with the first-principles results of the electronic band structures, density of states, spin splittings, and electric-field tunabilities of the bands, qualitative understanding of the observed behavior and realistic model parameters as a resource for model simulations of transport and correlation physics in trilayer graphene.

27 pages, 22 figures, 5 tables

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Cited by in corpus (13)

• Twist- and gate-tunable proximity spin-orbit coupling, spin relaxation anisotropy, and charge-to-spin conversion in heterostructures of graphene and transition-metal dichalcogenides
• Electrical control of spin and valley in spin-orbit coupled graphene multilayers
• Proximity effects in graphene on monolayers of transition-metal phosphorus trichalcogenides MPX${}_3$
• Emergent correlated phases in rhombohedral trilayer graphene induced by proximity spin-orbit and exchange coupling
• Swapping exchange and spin-orbit induced correlated phases in proximitized Bernal bilayer graphene
• Tunable superconductivity and Möbius Fermi surfaces in an inversion-symmetric twisted van der Waals heterostructure
• Hydrostatic pressure control of the spin-orbit proximity effect, spin relaxation, and thermoelectricity in a phosphorene-WSe${}_2$ heterostructure
• Proximity-enabled control of spin-orbit coupling in phosphorene symmetrically and asymmetrically encapsulated by WSe${}_2$ monolayers
• Rashba spin splitting based on trilayer graphene systems
• Displacement-field-tunable superconductivity in an inversion-symmetric twisted van der Waals heterostructure
• The interplay of ferroelectricity and magneto-transport in non-magnetic moiré superlattices
• Correlated phases in rhombohedral multilayer graphene
• Proximity spin-orbit coupling in graphene on alloyed transition metal dichalcogenides