Persistent Current States in Bilayer Graphene

Abstract

We argue that at finite carrier density and large displacement fields, bilayer graphene is prone to $\ell =0$ and $\ell =1$ Pomeranchuk Fermi surface instabilities. The broken symmetries are driven by non-local exchange interactions which favor momentum space condensation. We find that electron-electron interactions lead first to spontaneous valley polarization, which breaks time-reversal invariance and is associated with spontaneous orbital magnetism, and then under some circumstances to a nematic phase with reduced rotational symmetry. When present, nematic order is signaled by reduced symmetry in the dependence of optical absorption on light polarization.

6 pages, 4 figures

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Cited by in corpus (21)

• Gate-Tunable Topological Flat Bands in Trilayer Graphene-Boron Nitride Moiré Superlattices
• Voltage-Controlled Magnetic Reversal in Orbital Chern Insulators
• Spin and Orbital Metallic Magnetism in Rhombohedral Trilayer Graphene
• Multilayer graphenes as a platform for interaction-driven physics and topological superconductivity
• Isospin and momentum polarized orders in bilayer graphene
• Correlated Phases in Spin-Orbit-Coupled Rhombohedral Trilayer Graphene
• Metallic $p$-wave magnet with commensurate spin helix
• Angle-resolved transport nonreciprocity and spontaneous symmetry breaking in twisted trilayer graphene
• Gate-Defined Topological Josephson Junctions in Bernal Bilayer Graphene
• Wigner crystal phases in bilayer graphene
• Symmetry-broken metallic orders in spin-orbit-coupled Bernal bilayer graphene
• Signatures of an annular Fermi sea
• Excitonic magnet in external field: complex order parameter and spin currents
• The fate of $p$-wave spin polarization in helimagnets with Rashba spin-orbit coupling
• Chirality and correlations in the spontaneous spin-valley polarization of rhombohedral multilayer graphene
• Chiral Wigner crystal phases induced by Berry curvature
• Broken sublattice symmetry states in Bernal stacked multilayer graphene
• Signatures of electronic ordering in transport in graphene flat bands
• Topological frequency conversion in rhombohedral multilayer graphene
• Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry
• Electronic and Phonon Instabilities in Bilayer Graphene under Applied External Bias