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 (48)

• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Flat Bands in Slightly Twisted Bilayer Graphene
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Continuum Model of the Twisted Bilayer
• Fractional Chern insulators in magic-angle twisted bilayer graphene
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Spin transport in proximity induced ferromagnetic graphene
• Superconductivity in rhombohedral trilayer graphene
• Band Structure of ABC-Stacked Graphene Trilayers
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Spin-orbit driven band inversion in bilayer graphene by van der Waals proximity effect
• Spin-Orbit Enhanced Superconductivity in Bernal Bilayer Graphene
• Large Proximity-Induced Spin Lifetime Anisotropy in Transition Metal Dichalcogenide/Graphene Heterostructures
• d-wave pairing from spin fluctuations in the KxFe{2-y}Se2 superconductors
• Quantum cascade of new correlated phases in trigonally warped 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)
• Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene
• Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
• Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene
• Tunable quantum anomalous Hall octet driven by orbital magnetism in bilayer graphene
• Acoustic-phonon-mediated superconductivity in rhombohedral trilayer 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
• Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene
• Exact Diagonalization for Magic-Angle Twisted 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${}_2$
• Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• 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${}_2$
• Engineering Proximity Exchange by Twisting: Reversal of Ferromagnetic and Emergence of Antiferromagnetic Dirac Bands in Graphene/Cr${}_2$Ge${}_2$Te${}_6$
• Proximity induced spin orbit effects in graphene on Au
• 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
• 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
• 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