Stability of edge states in strained graphene

Abstract

Spatially inhomogeneous strains in graphene can simulate the effects of valley-dependent magnetic fields. As demonstrated in recent experiments, the realizable magnetic fields are large enough to give rise to well-defined flat pseudo-Landau levels, potentially having counter-propagating edge modes. In the present work we address the conditions under which such edge modes are visible. We find that, whereas armchair edges do not support counter-propagating edge modes, zigzag edges do so, through a novel selective-hybridization mechanism. We then discuss effects of interactions on the stability of counter-propagating edge modes, and find that, for the experimentally relevant case of Coulomb interactions, interactions typically decrease the stability of the edge modes. Finally, we generalize our analysis to address the case of spontaneous valley polarization, which is expected to occur in charge-neutral strained graphene.

7 pages, 5 figures

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Cited by in corpus (11)

• Novel effects of strains in graphene and other two dimensional materials
• Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
• Propagating edge states in strained honeycomb lattices
• Quantum Hall response to time-dependent strain gradients in graphene
• Valley polarization braiding in strained graphene
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Strain tuned topology in the Haldane and the modified Haldane models
• The Haldane model under nonuniform strain
• Andreev reflection in edge states of time reversal invariant Landau levels
• Absence of edge states at armchair edges in inhomogeneously strained graphene under a pseudomagnetic field
• Effects of Strain-Induced Pseudogauge Fields on Exciton Dispersion, Transport, and Interactions in Transition Metal Dichalcogenides Nanoribbons