Solitons induced by an in-plane magnetic field in rhombohedral multilayer graphene
arXiv:2306.05237 · doi:10.1103/PhysRevB.108.115425
Abstract
We model the influence of an in-plane magnetic field on the orbital motion of electrons in rhombohedral graphene multilayers. For zero field, the low-energy band structure includes a pair of flat bands near zero energy which are localized on the surface layers of a finite thin film. For finite field, we find that the zero-energy bands persist and that level bifurcations occur at energies determined by the component of the in-plane wave vector that is parallel to the external field. The occurrence of level bifurcations is explained by invoking semiclassical quantization of the zero field Fermi surface of rhombohedral graphite. We find parameter regions with a single isoenergetic contour of Berry phase zero corresponding to a conventional Landau level spectrum and regions with two isoenergetic contours, each of Berry phase , corresponding to a Dirac-like spectrum of levels. We write down an analogous one-dimensional tight-binding model and relate the persistence of the zero-energy bands in large magnetic fields to a soliton texture supporting zero-energy states in the Su-Schreiffer-Heeger model. We show that different states contributing to the zero-energy flat bands in rhombohedral graphene multilayers in a large field, as determined by the wave vector , are localized on different bulk layers of the system, not just the surfaces.
arXiv comment12 pages, 11 figures
References in corpus (56)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Berry Phase Effects on Electronic Properties
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
- Superconductivity in rhombohedral trilayer graphene
- Edge Solitons in Nonlinear Photonic Topological Insulators
- Dependence of band structures on stacking and field in layered graphene
- Determination of the gate-tunable bandgap and tight-binding parameters in bilayer graphene using infrared spectroscopy
- Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models
- Flat bands in topological media
- Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene
- Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models
- Electronic phase separation in topological surface states of rhombohedral graphite
- Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
- Topological and geometrical aspects of band theory
- Stacking Order in Graphite Films Controlled by Van der Waals Technology
- Stacking-dependent electronic structure of trilayer graphene resolved by nanospot angle-resolved photoemission spectroscopy
- Tuning the electron-phonon coupling in multilayer graphene with magnetic fields
- Magneto-Raman scattering of graphene on graphite: Electronic and phonon excitations
- Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
- Flat Electronic Bands in Long Sequences of Rhombohedral-stacked Multilayer Graphene
- Experimental approval of the extended flat bands and gapped subbands in rhombohedral multilayer graphene
- Spin splitting in graphene studied by means of tilted magnetic-field experiments
- In-plane critical magnetic fields in magic-angle twisted trilayer graphene
- Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices
- Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
- Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
- Dimensional reduction, quantum Hall effect and layer parity in graphite films
- Rippled Graphene in an In-Plane Magnetic Field: Effects of a Random Vector Potential
- Observation of magneto-phonon resonance of Dirac fermions in graphite
- Density-functional investigation of rhombohedral stacks of graphene: topological surface states, nonlinear dielectric response, and bulk limit
- Observation of supersymmetric pseudo-Landau levels in strained microwave graphene
- Stacking Faults, Bound States, and Quantum Hall Plateaus in Crystalline Graphite
- Stacking transition in rhombohedral graphite
- Synthesis of large-area rhombohedral few-layer graphene by chemical vapor deposition on copper
- Polarization resolved magneto-Raman scattering of graphene-like domains on natural graphite
- Mixing of surface and bulk electronic states at a graphite-hexagonal boron nitride interface
- Limits of topological protection under local periodic driving
- Anisotropic Strain Induced Soliton Movement Changes Stacking Order and Bandstructure of Graphene Multilayers
- Energy spectrum of graphene multilayers in a parallel magnetic field
- Observation of competing, correlated ground states in the flat band of rhombohedral graphite
- Evolution and dimensional crossover from the bulk subbands in ABC-stacked graphene to a three-dimensional Dirac cone structure in rhombohedral graphite
- Fractional and Majorana Fermions: The Physics of Zero Energy Modes
- Magnetic ratchet effect in bilayer graphene
- Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
- Persistence of chirality in the Su-Schrieffer-Heeger model in the presence of on-site disorder
- Raman Spectroscopy of magneto-phonon resonances in Graphene and Graphite
- Transport properties of bilayer graphene in a strong in-plane magnetic field
- Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
- Spectroscopic Signatures of Electronic Excitations in Raman Scattering in Thin Films of Rhombohedral Graphite
- Magnetotransport in single layer graphene in a large parallel magnetic field
- Exchange interaction, disorder, and stacking faults in rhombohedral graphene multilayers
- Catalog of noninteracting tight-binding models with two energy bands in one dimension
- Flat bands for electrons in rhombohedral graphene multilayers with a twin boundary
- Tight-binding description of Landau levels of graphite in tilted magnetic fields