Chambers's formula for the graphene and the Hou model with kagome periodicity and applications

DOI10.1007/S00023-015-0415-ZzbMath1341.82125arXiv1408.2814OpenAlexW1942931439MaRDI QIDQ270227

Jimena Royo-Letelier, Bernard Helffer, Philippe Kerdelhué

Publication date: 7 April 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2814

zbMATH Keywords

dynamical systemsemi-classical analysisgraphene modelHarper modelkagome lattice

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (9)

Spectral theory of extended Harper's model and a question by Erdős and Szekeres ⋮ Magnetic oscillations in a model of graphene ⋮ Trace formulas for magnetic Schrödinger operators on periodic graphs and their applications ⋮ Discrete Bethe-Sommerfeld conjecture for triangular, square, and hexagonal lattices ⋮ Eigenfunctions and the integrated density of states on Archimedean tilings ⋮ Laplacians on periodic graphs with guides ⋮ Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators ⋮ Cantor spectrum of graphene in magnetic fields ⋮ Honeycomb structures in magnetic fields

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