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February 6, 2026Chaos An Interdisciplinary Journal of Nonlinear Science

Localized states in graphene nanoribbons

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Authors

GVGeorgios VailakisUniversity of CreteGKGeorgios KopidakisUniversity of Crete

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Implication

This analysis demonstrates localized states in graphene nanoribbons, indicating new insights into wave propagation and transport mechanisms.

Key Points

  • The study aims to investigate spatially localized states in graphene nanoribbons and their dependence on edge geometry and initial conditions.
  • Utilized the simple tight-binding model with nearest neighbor interactions.
  • Monitored time evolution of initially localized wave packets across different edge geometries.
  • Examined effects of nonlinearity and disorder on wave packet dynamics.
  • Identified strictly localized flat band states in armchair nanoribbons.
  • Found partially flat band states in zigzag nanoribbons at the Fermi level.
  • All wave packets evolved to exponentially localized states in the presence of disorder.

Cite This Study

Vailakis et al. (2026) studied this question.

synapsesocial.com/papers/698585438f7c464f23008779https://doi.org/10.1063/5.0304783
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Also Consider

Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A tight-binding molecular dynamics study of phonon anharmonic effects in diamond and graphite1997 · 13 citations
  2. 2Absence of Diffusion in Certain Random Lattices1958 · 12,471 citations
  3. 3Edge states and flat bands in graphene nanoribbons with arbitrary geometries2011 · 90 citations
  4. 4Discrete Breathers and Delocalization in Nonlinear Disordered Systems2000 · 103 citations