Anisotropic correlated states in multilayer rhombohedral graphene

Recent experiments on multilayer rhombohedral graphene seem to reveal a coincidence between superconducting, anisotropic, and stripe-state regimes in the electron-doping/displacement-field parameter space [1, 2].  In this work, we use self-consistent mean-field theory to explain how anisotropic nematic states naturally emerge in these materials.  These states have small Berry curvatures in their Fermi surface interiors and large changes in Berry curvature and layer polarization near the Fermi surface. We characterize the size of the nematic order parameter by calculating the anisotropy of the conductivity tensor throughout the phase diagram.  We further discuss how momentum-space sublattice-spinor textures influence Cooper-pairing.  Our work provides a step towards a unified theory of the interplay between charge-density, nematicity, and chiral-superconducting order.

[1] arXiv:2507.22026v3

[2] Han et al. Nature 643, 654-661 (2025)