Zero Landau level in folded graphene nanoribbons

Abstract

Graphene nanoribbons can be folded into a double layer system keeping the two layers decoupled. In the Quantum Hall regime folds behave as a new type of Hall bar edge. We show that the symmetry properties of the zero Landau level in metallic nanoribbons dictate that the zero energy edge states traversing a fold are perfectly transmitted onto the opposite layer. This result is valid irrespective of fold geometry, magnetic field strength and crystallographic orientation of the nanoribbon. Backscattering suppression on the N=0 Hall plateau is ultimately due to the orthogonality of forward and backward channels, much like in the Klein paradox.

Final published version, with supplementary material appendix

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• Unveiling the Landau Levels Structure of Graphene Nanoribbons
• Gauge fields and interferometry in folded graphene
• Electromechanics of Twisted Graphene Nanoribbons
• Snake states and their symmetries in graphene
• Out-of-plane structural flexibility of phosphorene
• Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction
• Atomic structure and electronic properties of folded graphene nanoribbons: a first-principles study
• Origami-controlled strain engineering of tunable flat bands and correlated states in folded graphene
• Snake states in graphene quantum dots in the presence of a p-n junction
• Tuning transport properties on graphene multi-terminal structures by mechanical deformations
• Spin-polarized currents in corrugated graphene nanoribbons
• Transport through quantum spin Hall insulator/metal junctions in graphene ribbons
• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
• Gap engineering in strained fold-like armchair graphene nanoribbons
• Electronic transport of folded graphene nanoribbons
• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• Magnetic field mediated conductance oscillation in graphene p-n junctions
• Optical Properties of Graphene in Magnetic and Electric fields
• Prediction of structure-dependent thermal transport behavior in self-folded graphene film validated by molecular dynamics simulation
• Magnetic quantization in multilayer graphenes