Reducible Fermi surface for multi-layer quantum graphs including stacked graphene

DOI10.1007/s00220-021-04120-zzbMath1468.81052arXiv2005.13764OpenAlexW3176913280MaRDI QIDQ2041637

Lee Fisher, Stephen P. Shipman, Wei Li

Publication date: 23 July 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13764

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Distance in graphs (05C12) Dispersion theory, dispersion relations arising in quantum theory (81U30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Statistical mechanics of nanostructures and nanoparticles (82D80) Radiative heat transfer (80A21) Fermionic systems in quantum theory (81V74)

Related Items (9)

Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues ⋮ Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ Irreducibility of the Bloch variety for finite-range Schrödinger operators ⋮ Bidimensional honeycomb materials: a graph model through Dirac operator ⋮ Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown ⋮ Stable defect states in the continuous spectrum of bilayer graphene with magnetic field ⋮ Fermi isospectrality for discrete periodic Schrödinger operators ⋮ Fermi isospectrality of discrete periodic Schrödinger operators with separable potentials on \(\mathbb{Z}^2\) ⋮ Spectra of regular quantum trees: rogue eigenvalues and dependence on vertex condition

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