Propagating edge states in strained honeycomb lattices

Abstract

We investigate the helically-propagating edge states associated with pseudo-Landau levels in strained honeycomb lattices. We exploit chiral symmetry to derive a general criterion for the existence of these propagating edge states in the presence of only nearest-neighbour hoppings and we verify our criterion using numerical simulations of both uni-axially and trigonally strained honeycomb lattices. We show that the propagation of the helical edge state can be controlled by engineering the shape of the edges. Sensitivity to chiral-symmetry-breaking next-nearest-neighbour hoppings is assessed. Our result opens up an avenue toward the precise control of edge modes through manipulation of the edge shape.

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Cited by in corpus (12)

• Topological Photonics
• Artificial gauge fields in materials and engineered systems
• Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
• Coherent control of quantum topological states of light in Fock-state lattices
• Observation of supersymmetric pseudo-Landau levels in strained microwave graphene
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• Microcavity polaritons for topological photonics
• Quantized valley Hall response from local bulk density variations
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• Scalable tight-binding model for strained graphene