Boundary Modes from Periodic Magnetic and Pseudomagnetic Fields in Graphene
arXiv:2108.08414 · doi:10.1103/PhysRevLett.128.176406
Abstract
Single-layer graphenes subject to periodic lateral strains are artificial crystals that can support boundary spectra with an intrinsic polarity. These are analyzed by comparing the effects of periodic magnetic fields and strain-induced pseudomagnetic fields that respectively break and preserve time-reversal symmetry. In the former case, a Chern classification of the superlattice minibands with zero total magnetic flux enforces {\it single} counter-propagating modes traversing each bulk gap on opposite boundaries of a nanoribbon. For the pseudomagnetic field, pairs of counter-propagating modes migrate to the {\it same} boundary where they provide well-developed valley-helical transport channels on a single zigzag edge. We discuss possible schemes for implementing this situation and their experimental signatures.
5+12 pages; 3+6 figures; version accepted to Physical Review Letters
References in corpus (18)
- The electronic properties of graphene
- Topological Crystalline Insulators
- All-graphene integrated circuits via strain engineering
- Spin Filtered Edge States and Quantum Hall Effect in Graphene
- Graphene as an electronic membrane
- Edge States and the Quantized Hall Effect in Graphene
- Symmetry-based approach to electron-phonon interactions in graphene
- Gauge field induced by ripples in graphene
- Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
- Midgap states in corrugated graphene: Ab-initio calculations and effective field theory
- Strain controlled valley filtering in multi-terminal graphene structures
- Mapping of strained graphene into one-dimensional Hamiltonians: quasicrystals and modulated crystals
- Edge modes and non local conductance in graphene superlattices
- Correlation-induced valley topology in buckled graphene superlattices
- Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
- Flat bands with fragile topology through superlattice engineering on single-layer graphene
- Emergence of strain-induced moiré patterns and pseudo-magnetic field confined states in graphene
- Electron localization in periodically strained graphene
Cited by in corpus (15)
- Topological exact flat bands in two dimensional materials under periodic strain
- Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
- Topological flat bands in strained graphene: substrate engineering and optical control
- Nearly flat Chern band in periodically strained monolayer and bilayer graphene
- Network model for periodically strained graphene
- Double and Quadruple Flat Bands tuned by Alternative magnetic Fluxes in Twisted Bilayer Graphene
- Berry Curvature Spectroscopy from Bloch Oscillations
- Supersymmetry dictated topology in periodic gauge fields and realization in strained and twisted 2D materials
- Roses in the Nonperturbative Current Response of Artificial Crystals
- Elastic Screening of Pseudogauge Fields in Graphene
- Flat bands and superconductivity induced by periodic strain in monolayer graphene
- Correlated states in super-moiré materials with a kernel polynomial quantics tensor cross interpolation algorithm
- Protected Fermionic Zero Modes in Periodic Gauge Fields
- Gate-Tunable Resonances and 1D Channel in a Graphene Nanoslide
- Buckling and flat bands in twisted bilayer graphene