A sharp upper bound on the spectral gap for graphene quantum dots
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Publication:2418706
DOI10.1007/s11040-019-9310-zzbMath1428.35251arXiv1812.03029OpenAlexW2905232227WikidataQ128087021 ScholiaQ128087021MaRDI QIDQ2418706
Thomas Ourmières-Bonafos, Vladimir Lotoreichik
Publication date: 28 May 2019
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.03029
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) PDEs in connection with quantum mechanics (35Q40) Quantum dots as quasi particles (81V65)
Related Items (11)
Spectral optimization of Dirac rectangles ⋮ Spectral inequality for Dirac right triangles ⋮ Lipschitz estimates for conformal maps from the unit disk to convex domains ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ Eigenvalue curves for generalized MIT bag models ⋮ Leaky quantum structures ⋮ A note on the three dimensional Dirac operator with zigzag type boundary conditions ⋮ A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities ⋮ On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions ⋮ Spectral properties of relativistic quantum waveguides ⋮ Dirac operator spectrum in tubes and layers with a zigzag-type boundary
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