Orbital Longitudinal Magneto-electric Coupling in Multilayer Graphene
arXiv:2503.07822 · doi:10.1073/pnas.2506751123
Abstract
Magneto-electric coupling enables the manipulation of magnetization by electric fields and vice versa. While typically found in heavy element materials with large spin-orbit coupling, recent experiments on rhombohedral-stacked pentalayer graphene (RPG) have demonstrated a {\it longitudinal magneto-electric coupling} (LMC) without spin-orbit coupling. Here we present a microscopic theory of LMC in multilayer graphene and identify how it is controlled by a ``layer-space'' quantum geometry and interaction-driven valley polarization. Strikingly, we find that the interplay between valley-polarized order and LMC produces a butterfly shaped magnetic hysteresis controlled by out-of-plane electric field: a signature of LMC and a multiferroic valley order. Furthermore, we identify a nonlinear LMC in multilayer graphene under time-reversal symmetry, while the absence of centrosymmetry enables the generation of a second-order nonlinear electric dipole moment in response to an out-of-plane magnetic field. Our theoretical framework provides a quantitative understanding of LMC, as well as the emergent magneto-electric properties of multilayer graphene.
arXiv comment6 pages, 4 figures, plus Supplementary
References in corpus (45)
- Berry Phase Effects on Electronic Properties
- Electrical Control of 2D Magnetism in Bilayer CrI3
- Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
- Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology
- Topological axion states in magnetic insulator MnBiTe with the quantized magnetoelectric effect
- Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator
- Berry phase correction to electron density of states in solids
- Dynamical Axion Field in Topological Magnetic Insulators
- Superconductivity in rhombohedral trilayer graphene
- Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
- Discovery of Intrinsic Ferromagnetic Ferroelectricity in Transition Metal Halides Monolayer
- Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene
- Interlayer screening effect in graphene multilayers with ABA and ABC stacking
- Gyrotropic magnetic effect and the magnetic moment on the Fermi surface
- Axion Electrodynamics in Topological Materials
- Spin-Orbit Enhanced Superconductivity in Bernal Bilayer Graphene
- Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state
- Observation of the universal magnetoelectric effect in a 3D topological insulator
- Orbital Hall effect as an alternative to valley Hall effect in gapped graphene
- Correlated Insulator and Chern Insulators in Pentalayer Rhombohedral Stacked Graphene
- Electronic compressibility of layer polarized bilayer graphene
- Orbital Multiferroicity in Pentalayer Rhombohedral Graphene
- Large Quantum Anomalous Hall Effect in Spin-Orbit Proximitized Rhombohedral Graphene
- Electron quantum metamaterials in van der Waals heterostructures
- Tunable Layer Circular Photogalvanic Effect in Twisted Bilayers
- Josephson Diode Effect Induced by Valley Polarization in Twisted Bilayer Graphene
- Linear Magnetoelectric Effect by Orbital Magnetism
- Intrinsic Nonlinear Spin Magnetoelectricity in Centrosymmetric Magnets
- Measurable lattice effects on the charge and magnetic response in graphene
- Spin and Orbital Metallic Magnetism in Rhombohedral Trilayer Graphene
- Theory of optical axion electrodynamics and application to the Kerr effect in topological antiferromagnets
- Capacitance of Graphene Bilayer as a Which-Layer Probe
- Electrical control of spin and valley in spin-orbit coupled graphene multilayers
- Correlated Phases in Spin-Orbit-Coupled Rhombohedral Trilayer Graphene
- Nonlinear Superconducting Magnetoelectric Effect
- Electrically Controlled Anomalous Hall Effect and Orbital Magnetization in Topological Magnet MnBi2Te4
- Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides
- Geometrical contributions to the exchange constants: Free electrons with spin-orbit interaction
- Low-dissipation edge currents without edge states
- Quantum-Geometric Origin of Out-of-plane Stacking Ferroelectricity
- Layer photovoltaic effect in van der Waals heterostructures
- Interlayer electric multipoles induced by in-plane field from quantum geometric origins
- Capacitive scheme to detect the topological magnetoelectric effect
- Anti-screening and nonequilibrium layer electric phases in graphene multilayers
- Superpolarized Electron-Hole Liquid and Multiferroicity in Multilayer Graphene