In this paper, we deal with two-dimensional cubic Dirac equations, appearing as an effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schrödinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.
Bifurcating standing waves for effective equations in gapped honeycomb structures / Borrelli, W.; Carlone, R.. - In: NANOSYSTEMS. - ISSN 2220-8054. - 12:1(2021), pp. 5-14. [10.17586/2220-8054-2021-12-1-5-14]
Bifurcating standing waves for effective equations in gapped honeycomb structures
Borrelli W.;Carlone R.
2021
Abstract
In this paper, we deal with two-dimensional cubic Dirac equations, appearing as an effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schrödinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.File in questo prodotto:
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