On the existence of real spectra in $\mathcal {PT}$-symmetric honeycomb optical lattices

DOI10.1088/1751-8113/47/22/225205zbMath1291.81151OpenAlexW2416849078MaRDI QIDQ4979927

Mark J. Ablowitz, Christopher W. Curtis

Publication date: 19 June 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/47/22/225205

zbMATH Keywords

honeycomb lattices\(PT\)-symmetryDirac pointsFourier-Bloch decompositions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (3)

Dynamics in ‐Symmetric Honeycomb Lattices with Nonlinearity ⋮ Spectra of operator pencils with small 𝒫𝒯-symmetric periodic perturbation ⋮ Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with 𝒫𝒯-symmetry

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