Dirac Cones for Point Scatterers on a Honeycomb Lattice

DOI10.1137/14095827XzbMath1342.35283arXiv1402.5179MaRDI QIDQ2802692

Minjae Lee

Publication date: 27 April 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5179

zbMATH Keywords

triangular latticegraphenehoneycomb latticedelta potentialDirac pointpoint scatterer

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Ubiquity of conical points in topological insulators ⋮ ThreeFold Weyl Points for the Schrödinger Operator with Periodic Potentials ⋮ Dirac Points for the Honeycomb Lattice with Impenetrable Obstacles ⋮ Dirac cones for a mean-field model of graphene ⋮ A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals ⋮ Honeycomb-Lattice Minnaert Bubbles ⋮ Continuum Schrödinger operators for sharply terminated graphene-like structures ⋮ Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators ⋮ Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene ⋮ The bulk-edge correspondence for continuous honeycomb lattices ⋮ Defect modes for dislocated periodic media ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ The bulk-edge correspondence for continuous dislocated systems ⋮ Effective numerical method of spectral analysis of quantum graphs

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