Chiral Majorana fermions in graphene from proximity-induced superconductivity

Abstract

We present a detailed theoretical study of chiral topological superconductor phases in proximity-superconducting graphene systems based on an effective model inspired by DFT simulations. Inducing s-wave superconductivity to quantum anomalous Hall effect systems leads to chiral topological superconductors. For out-of-plane magnetization we find topological superconducting phases with even numbers of chiral Majorana fermions per edge which is correlated to the opening of a nontrivial gap in the bulk system in the $\mathrm{K}$-points and their connection under particle-hole symmetry. We show that in a quantum anomalous Hall insulator with in-plane magnetization and nontrivial gap opening at $\mathrm{M}$, the corresponding topological superconductor can be tuned to host only single chiral Majorana states at its edge which is promising for proposals exploiting such states for braiding operations.

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• Cross-dimensional universality classes in static and periodically driven Kitaev models
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Proximity-enhanced valley Zeeman splitting at the WS${}_2$/graphene interface
• Inducing chiral superconductivity on honeycomb lattice systems
• Proximity-Induced Superconductivity in Atomically Precise Nanographene
• Edge states in proximitized graphene ribbons and flakes in a perpendicular magnetic field: emergence of lone pseudohelical pairs and pure spin-current states
• Electrostatic effects of the MnBi2Te4-superconductor hetero-structures in chiral Majorana search
• Renormalization group analysis of weakly interacting van der Waals Fermi system
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Chiral Majorana Fermions in two dimensional square lattice antiferromagnet with proximity-induced superconductivity
• Proximity spin-orbit coupling in graphene on alloyed transition metal dichalcogenides