Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues
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Publication:2125151
DOI10.1007/s00039-021-00587-zzbMath1484.35169arXiv2006.04733OpenAlexW3033881959MaRDI QIDQ2125151
Publication date: 13 April 2022
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.04733
unique continuationBloch varietyirreducibilityembedded eigenvalueperiodic Schrödinger operatoralgebraic varietyextremaanalytic varietyLandis' conjectureband edgeband functionFermi variety
Families, moduli of curves (algebraic) (14H10) Eigenvalue problems for linear operators (47A75) Schrödinger operator, Schrödinger equation (35J10) Projective techniques in algebraic geometry (14N05) Analytic subsets of affine space (32B15)
Related Items (12)
Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ Irreducibility of the Bloch variety for finite-range Schrödinger operators ⋮ Floquet isospectrality for periodic graph operators ⋮ Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown ⋮ Quantum ergodicity for periodic graphs ⋮ Flat bands of periodic graphs ⋮ On the Density of Eigenvalues on Periodic Graphs ⋮ Fermi isospectrality for discrete periodic Schrödinger operators ⋮ Algebraic properties of the Fermi variety for periodic graph operators ⋮ On spectral bands of discrete periodic operators ⋮ Fermi isospectrality of discrete periodic Schrödinger operators with separable potentials on \(\mathbb{Z}^2\) ⋮ Localisation for Delone operators via Bernoulli randomisation
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