Stable defect states in the continuous spectrum of bilayer graphene with magnetic field

DOI10.1016/j.physd.2023.133891arXiv2212.12125MaRDI QIDQ6090639

Jorge Villalobos, Stephen P. Shipman

Publication date: 17 November 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.12125

zbMATH Keywords

magnetic fieldspectrumembedded eigenvaluebilayer graphenestable defect state

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Eigenfunctions of unbounded support for embedded eigenvalues of locally perturbed periodic graph operators
• On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators
• Fluxes, Laplacians, and Kasteleyn's theorem
• Reducible Fermi surface for multi-layer quantum graphs including stacked graphene
• Tight-binding reduction and topological equivalence in strong magnetic fields
• Irreducibility of the Bloch variety for finite-range Schrödinger operators
• Irreducibility of the Fermi surface for planar periodic graph operators
• Energy minimization of two dimensional incommensurate heterostructures
• Cantor spectrum of graphene in magnetic fields
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
• Honeycomb structures in magnetic fields

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