Bifurcating standing waves for effective equations in gapped honeycomb structures

Published 29 Dec 2020 in math.AP, math-ph, and math.MP | (2012.14680v1)

Abstract: In this paper we deal with two dimensional cubic Dirac equations appearing as effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schr\"odinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.

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