Emergent correlated phases in rhombohedral trilayer graphene induced by proximity spin-orbit and exchange coupling

Abstract

The impact of proximity-induced spin-orbit and exchange coupling on the correlated phase diagram of rhombohedral trilayer graphene (RTG) is investigated theoretically. By employing \emph{ab initio}-fitted effective models of RTG encapsulated by transition metal dichalcogenides (spin-orbit proximity effect) and ferromagnetic Cr${}_2$Ge${}_2$Te${}_6$ (exchange proximity effect), we incorporate the Coulomb interactions within the random-phase approximation to explore potential correlated phases at different displacement field and doping. We find a rich spectrum of spin-valley resolved Stoner and intervalley coherence instabilities induced by the spin-orbit proximity effects, such as the emergence of a \textit{spin-valley-coherent} phase due to the presence of valley-Zeeman coupling. Similarly, proximity exchange removes the phase degeneracies by biasing the spin direction, enabling a magneto-correlation effect -- strong sensitivity of the correlated phases to the relative magnetization orientations (parallel or antiparallel) of the encapsulating ferromagnetic layers.

References in corpus (94)

• Spintronics: Fundamentals and applications
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Tuning superconductivity in twisted bilayer graphene
• Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Graphene bilayer with a twist: electronic structure
• Cloning of Dirac fermions in graphene superlattices
• Observation of Van Hove singularities in twisted graphene layers
• Magic Angle Spectroscopy
• Flat Bands in Slightly Twisted Bilayer Graphene
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Localization of Dirac electrons by Moire patterns in graphene bilayers
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Continuum Model of the Twisted Bilayer
• Spin-polarized Correlated Insulator and Superconductor in Twisted Double Bilayer Graphene
• Fractional Chern insulators in magic-angle twisted bilayer graphene
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Spin transport in proximity induced ferromagnetic graphene
• Electronic structure of turbostratic graphene
• Unravelling the intrinsic and robust nature of van Hove singularities in twisted bilayer graphene
• Cascade of electronic transitions in magic-angle twisted bilayer graphene
• Cascade of Phase Transitions and Dirac Revivals in Magic Angle Graphene
• Superconductivity in rhombohedral trilayer graphene
• Mapping the twist angle and unconventional Landau levels in magic angle graphene
• Band Structure of ABC-Stacked Graphene Trilayers
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Phonon scattering dominated electron transport in twisted bilayer graphene
• Graphene on transition-metal dichalcogenides: a platform for proximity spin-orbit physics and optospintronics
• Energy Spectrum and Quantum Hall Effect in Twisted Bilayer Graphene
• Trivial and inverted Dirac bands, and emergence of quantum spin Hall states in graphene on transition-metal dichalcogenides
• Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
• Correlated Insulating States in Twisted Double Bilayer Graphene
• Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene
• Strain fields in twisted bilayer graphene
• Room temperature spin Hall effect in graphene/MoS${}_2$ van der Waals heterostructures
• Charge-to-Spin Conversion by the Rashba-Edelstein Effect in 2D van der Waals Heterostructures up to Room Temperature
• Strong Correlations and d+id Superconductivity in Twisted Bilayer Graphene
• Spin-orbit driven band inversion in bilayer graphene by van der Waals proximity effect
• Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
• Spin-Orbit Enhanced Superconductivity in Bernal Bilayer Graphene
• Large Proximity-Induced Spin Lifetime Anisotropy in Transition Metal Dichalcogenide/Graphene Heterostructures
• Spin transport in graphene/transition metal dichalcogenide heterostructures
• Spin-orbit coupling in hydrogenated graphene
• Model spin-orbit coupling Hamiltonians for graphene systems
• d-wave pairing from spin fluctuations in the KxFe{2-y}Se2 superconductors
• Quantum cascade of new correlated phases in trigonally warped bilayer graphene
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Cascade of isospin phase transitions in Bernal bilayer graphene at zero magnetic field
• Theory of proximity-induced exchange coupling in graphene on hBN/(Co, Ni)
• Charge inversion and topological phase transition at a twist angle induced van Hove singularity of bilayer graphene
• Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene
• Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene
• Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
• Tunable quantum anomalous Hall octet driven by orbital magnetism in bilayer graphene
• Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene
• Disorder in Twisted Bilayer Graphene
• Acoustic-phonon-mediated superconductivity in rhombohedral trilayer graphene
• Correlated electron-hole State in Twisted Double Bilayer Graphene
• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• Electrical control of valley-Zeeman spin-orbit coupling-induced spin precession at room temperature
• Spin-Orbit Interaction Induced in Graphene by Transition-Metal Dichalcogenides
• Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene
• Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene
• Spin and Orbital Metallic Magnetism in Rhombohedral Trilayer Graphene
• Gate tunability of highly efficient spin-to-charge conversion by spin Hall effect in graphene proximitized with WSe${}_2$
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
• Swapping Exchange and Spin-Orbit Coupling in 2D van der Waals Heterostructures
• Spin-triplet superconductivity at the onset of isospin order in biased bilayer graphene
• Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
• Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
• Correlated metals and unconventional superconductivity in rhombohedral trilayer graphene: A renormalization group analysis
• Topological Flat Bands and Correlated States in Twisted Monolayer-Bilayer Graphene
• Enhanced superconductivity through virtual tunneling in Bernal bilayer graphene coupled to WSe${}_2$
• Microscopic pairing mechanism, order parameter, and disorder sensitivity in moiré superlattices: Applications to twisted double-bilayer graphene
• Proximity induced spin orbit effects in graphene on Au
• Engineering Proximity Exchange by Twisting: Reversal of Ferromagnetic and Emergence of Antiferromagnetic Dirac Bands in Graphene/Cr${}_2$Ge${}_2$Te${}_6$
• Bilayer graphene encapsulated within monolayers of WS${}_2$ or Cr${}_2$Ge${}_2$Te${}_6$: Tunable proximity spin-orbit or exchange coupling
• Moiré disorder effect in twisted bilayer graphene
• Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van der Waals heterostructures
• Charge fluctuations, phonons and superconductivity in multilayer graphene
• Topological flat bands without magic angles in massive twisted bilayer graphenes
• Induced exchange and spin-orbit effects by proximity in graphene on Ni and Co
• Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene
• Towards fully two-dimensional spintronic devices
• Spin-orbit-enhanced robustness of supercurrent in graphene/WS${}_2$ Josephson junctions
• Quantum Hall Superconductivity from Moir{é} Landau Levels
• Strain Disorder and Gapless Intervalley Coherent Phase in Twisted Bilayer Graphene

Cited by in corpus (15)

• Intervalley coherence and intrinsic spin-orbit coupling in rhombohedral trilayer graphene
• Swapping exchange and spin-orbit induced correlated phases in proximitized Bernal bilayer graphene
• Symmetry-broken metallic orders in spin-orbit-coupled Bernal bilayer graphene
• Layer-Dependent Quantum Anomalous Hall Effect in Rhombohedral Graphene
• Quarter-Metal Phases in Multilayer Graphene: Ising-XY and Annular Lifshitz Transitions
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Promoting and imaging intervalley coherent order in rhombohedral tetralayer graphene on MoS2
• Ferroelectric switching control of spin current in graphene proximitized by In${}_2$Se${}_3$
• Visualizing isospin magnetic texture and intervalley exchange interaction in rhombohedral tetralayer graphene
• Topological frequency conversion in rhombohedral multilayer graphene
• Correlated phases in rhombohedral multilayer graphene
• Topological phases, van Hove singularities, and spin texture in magic-angle twisted bilayer graphene in the presence of proximity-induced spin-orbit couplings
• Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study
• Charge density waves and stripes in quarter metals of graphene heterostructures
• Gate and Carriers tunable Valley Imbalance in Topological Proximitized Rhombohedral Trilayer Graphene