Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures
journal contributionposted on 23.03.2021, 18:39 by J Arbunich, C Sparber
© 2018 Author(s). We consider a nonlinear Schrödinger equation in two spatial dimensions subject to a periodic honeycomb lattice potential. Using a multi-scale expansion together with rigorous error estimates, we derive an effective model of nonlinear Dirac type. The latter describes the propagation of slowly modulated, weakly nonlinear waves spectrally localized near a Dirac point.
CAREER: Adiabatic theory for nonlinear Schrodinger equations with applications in complex quantum systems
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