On the low lying spectrum of the magnetic Schrödinger operator with kagome periodicity

DOI10.1142/S0129055X14500202zbMath1309.35097arXiv1404.0642OpenAlexW2963942997MaRDI QIDQ5175601

Jimena Royo-Letelier, Philippe Kerdelhué

Publication date: 24 February 2015

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0642

zbMATH Keywords

spectral analysispseudodifferential operatorgraphenekagome latticeflat bandHofstadter butterflymagnetic periodic Schrödinger operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with quantum mechanics (35Q40) 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 (6)

Chambers's formula for the graphene and the Hou model with kagome periodicity and applications ⋮ Magnetic oscillations in a model of graphene ⋮ Magnetic Schrödinger operators on periodic discrete graphs ⋮ Eigenfunctions and the integrated density of states on Archimedean tilings ⋮ Wulff shape emergence in graphene ⋮ Cantor spectrum of graphene in magnetic fields

Cites Work

• Cantor spectrum for the almost Mathieu equation
• Multiple wells in the semi-classical limit I
• Analysis of the spectrum of a particle on a triangular lattice with two magnetic fluxes by algebraic and numerical methods
• Spectral Theory and its Applications
• Motion of Electrons in Adiabatically Perturbed Periodic Structures
• Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.

This page was built for publication: On the low lying spectrum of the magnetic Schrödinger operator with kagome periodicity