Electronic topological transition in sliding bilayer graphene

2010/12/31 by Young-Woo Son, Young‐Woo Son, Seon-Myeong Choi +3 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Bilayer graphene #Carbon Nanotubes in Composites #Condensed matter physics #Dirac fermion #Electron #Graphene #Graphene research and applications #Hamiltonian (control theory) #Landau quantization #Massless particle #Mathematics #Physics #Quantum mechanics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.84.155410

published as Physical Review B 84, 155410 (2011) · title changed, an extended version for regular article format, 10 pages, 5 figures

openalex publication_date 2011/10/11 · arxiv created 2011/10/14 · arxiv updated 2011/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We demonstrate theoretically that the topology of energy bands and Fermi surface in bilayer graphene undergoes a very sensitive transition when an extremely tiny lateral interlayer shift occurs in arbitrary directions. The phenomenon originates from a generation of an effective non-Abelian vector potential in the Dirac Hamiltonian by the sliding motions. The characteristics of the transition such as pair annihilations of massless Dirac fermions are dictated by the sliding direction owing to a unique interplay between the effective non-Abelian gauge fields and Berry's phases associated with massless electrons. The transition manifests itself in various measurable quantities such as anomalous density of states, minimal conductivity, and distinct Landau level spectrum.

Citations

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• Magnetic ratchet effect in bilayer graphene