Tunable superconductivity and Möbius Fermi surfaces in an inversion-symmetric twisted van der Waals heterostructure

Abstract

We study theoretically a moiré superlattice geometry consisting of mirror-symmetric twisted trilayer graphene surrounded by identical transition metal dichalcogenide layers. We show that this setup allows to switch on/off and control the spin-orbit splitting of the Fermi surfaces via application of a perpendicular displacement field $D_0$, and explore two manifestations of this control: first, we compute the evolution of superconducting pairing with $D_0$; this features a complex admixture of singlet and triplet pairing and, depending on the pairing state in the parent trilayer system, phase transitions between competing superconducting phases. Second, we reveal that, with application of $D_0$, the spin-orbit-induced spin textures exhibit vortices which lead to "Möbius fermi surfaces'' in the interior of the Brillouin zone: diabatic electron trajectories, which are predicted to dominate quantum oscillation experiments, require encircling the $\Gamma$ point twice, making their Möbius nature directly observable. We further show that the superconducting order parameter inherits the unconventional, Möbius spin textures. Our findings suggest that this system provides a promising experimental avenue for studying systematically the impact of spin-orbit coupling on the multitude of topological and correlated phases in near-magic-angle twisted trilayer graphene.

arXiv comment17 pages, 8 figures, 1 table

References in corpus (64)

• Topological Insulators
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Quantum Spin Hall Effect in Graphene
• Berry Phase Effects on Electronic Properties
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Tuning superconductivity in twisted bilayer graphene
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Graphene bilayer with a twist: electronic structure
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Magic Angle Spectroscopy
• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Graphene Bilayers with a Twist
• Landau-Zener-Stuckelberg interferometry
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
• Continuum Model of the Twisted Bilayer
• Van der Waals heterostructures for spintronics and opto-spintronics
• Fractional Chern insulators in magic-angle twisted bilayer graphene
• Spin-Orbit Proximity Effect in Graphene
• Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
• Strong interface-induced spin-orbit coupling in graphene on WS2
• Topological Superconductivity in Twisted Multilayer Graphene
• Nematicity and Competing Orders in Superconducting Magic-Angle Graphene
• Graphene on transition-metal dichalcogenides: a platform for proximity spin-orbit physics and optospintronics
• Superconductivity without insulating states in twisted bilayer graphene stabilized by monolayer WSe${}_2$
• Strong coupling phases of partially filled twisted bilayer graphene narrow bands
• Zero-field superconducting diode effect in small-twist-angle trilayer graphene
• Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
• Magic Angle Hierarchy in Twisted Graphene Multilayers
• Twisted Bilayer Graphene IV. Exact Insulator Ground States and Phase Diagram
• Spin-orbit driven band inversion in bilayer graphene by van der Waals proximity effect
• Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
• Quantum critical behavior in magic-angle twisted bilayer graphene
• Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
• Origin and magnitude of 'designer' spin-orbit interaction in graphene on semiconducting transition metal dichalcogenides
• Spin-orbit driven ferromagnetism at half moiré filling in magic-angle twisted bilayer graphene
• Twist-angle dependence of the proximity spin-orbit coupling in graphene on transition-metal dichalcogenides
• Twistons in a Sea of Magic
• Theory of zero-field superconducting diode effect in twisted trilayer graphene
• Induced spin-orbit coupling in twisted graphene-TMDC heterobilayers: twistronics meets spintronics
• Universal moiré nematic phase in twisted graphitic systems
• Twist-angle dependent proximity induced spin-orbit coupling in graphene/transition-metal dichalcogenide heterostructures
• Coulomb screening and thermodynamic measurements in magic-angle twisted trilayer graphene
• Modern semiclassical theory of magnetic transport and breakdown
• Correlated insulators, semimetals, and superconductivity in twisted trilayer graphene
• Charge-to-spin conversion in twisted graphene/WSe${}_2$ heterostructures
• Topological metals and finite-momentum superconductors
• Pairing symmetry of twisted bilayer graphene: a phenomenological synthesis
• Pairing in graphene-based moiré superlattices
• TSTG I: Single-Particle and Many-Body Hamiltonians and Hidden Non-local Symmetries of Trilayer Moiré Systems with and without Displacement Field
• Twist Angle Controlled Collinear Edelstein Effect in van der Waals Heterostructures
• Bilayer graphene encapsulated within monolayers of WS${}_2$ or Cr${}_2$Ge${}_2$Te${}_6$: Tunable proximity spin-orbit or exchange coupling
• Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van der Waals heterostructures
• Flat band topology of magic angle graphene on a transition metal dichalcogenide
• Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces
• Strong interminivalley scattering in twisted bilayer graphene revealed by high-temperature magnetooscillations
• Landau quantization of nearly degenerate bands, and full symmetry classification of avoided Landau-level crossings
• Moiré Landau fans and magic zeros
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism

Cited by in corpus (5)

• Extended magic phase in twisted graphene multilayers
• Topological flat bands, valley polarization, and interband superconductivity in magic-angle twisted bilayer graphene with proximitized spin-orbit couplings
• Displacement-field-tunable superconductivity in an inversion-symmetric twisted van der Waals heterostructure
• Topological phases, van Hove singularities, and spin texture in magic-angle twisted bilayer graphene in the presence of proximity-induced spin-orbit couplings
• Emergence of curved momentum-spacetime and its effect on the cyclotron motion in the antiferromagnetic quantum critical metal