Effective Interactions in a Graphene Layer Induced by the Proximity to a Ferromagnet

Abstract

The proximity-induced couplings in graphene due to the vicinity of a ferromagnetic insulator are analyzed. We combine general symmetry principles and simple tight-binding descriptions to consider different orientations of the magnetization. We find that, in addition to a simple exchange field, a number of other terms arise. Some of these terms act as magnetic orbital couplings, and others are proximity-induced spin-orbit interactions. The couplings are of similar order of magnitude, and depend on the orientation of the magnetization. A variety of phases, and anomalous Hall effect regimes, are possible.

10 pages, 3 figures, 3 tables

References in corpus (26)

• The electronic properties of graphene
• Graphene Spintronics
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
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• Model spin-orbit coupling Hamiltonians for graphene systems
• Integration of the Ferromagnetic Insulator EuO onto Graphene
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• Tailoring magnetic insulator proximity effects in graphene: First-principles calculations
• Gaps tunable by electrostatic gates in strained graphene
• Theory of proximity-induced exchange coupling in graphene on hBN/(Co, Ni)
• Magnetoresistance of vertical Co-graphene-NiFe junctions controlled by charge transfer and proximity-induced spin splitting in graphene
• Optospintronics in graphene via proximity coupling
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Strong modulation of spin currents in bilayer graphene by static and fluctuating proximity exchange fields
• Multiple Quantum Phases in Graphene with Enhanced Spin-Orbit Coupling: From the Quantum Spin Hall Regime to the Spin Hall Effect and a Robust Metallic State
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• Weak de-localization in graphene on a ferromagnetic insulating film
• Electrical Detection of Individual Skyrmions in Graphene Devices

Cited by in corpus (15)

• Spin transport in graphene/transition metal dichalcogenide heterostructures
• Van der Waals spin valves
• Quantum Anomalous Hall Effects in Graphene from Proximity-Induced Uniform and Staggered Spin-Orbit and Exchange Coupling
• Microscopic Theory of Spin Relaxation Anisotropy in Graphene with Proximity-Induced Spin-Orbit Coupling
• Scattering-induced and highly tunable by gate damping-like spin-orbit torque in graphene doubly proximitized by two-dimensional magnet Cr${}_2$Ge${}_2$Te${}_6$ and WS${}_2$
• Engineering Proximity Exchange by Twisting: Reversal of Ferromagnetic and Emergence of Antiferromagnetic Dirac Bands in Graphene/Cr${}_2$Ge${}_2$Te${}_6$
• Proximity effects in graphene on monolayers of transition-metal phosphorus trichalcogenides MPX${}_3$
• Crystal-field effects in graphene with interface-induced spin-orbit coupling
• Bilayer graphene encapsulated within monolayers of WS${}_2$ or Cr${}_2$Ge${}_2$Te${}_6$: Tunable proximity spin-orbit or exchange coupling
• Antiferromagnetic spin valve from heterostructure of two-dimensional hexagonal crystals
• Induced exchange and spin-orbit effects by proximity in graphene on Ni and Co
• Transition between canted antiferromagnetic and spin-polarized ferromagnetic quantum Hall states in graphene on a ferrimagnetic insulator
• Shubnikov-de Haas oscillations in the anomalous Hall conductivity of Chern insulators
• Effect of YIG Nanoparticle Size and Clustering in Proximity-Induced Magnetism in Graphene/YIG Composite Probed with Magnetoimpedance Sensors: Towards Improved Functionality, Sensitivity and Proximity Detection
• Proximity spin-orbit coupling in graphene on alloyed transition metal dichalcogenides