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 Schr¨odinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.
Borrelli, W., Carlone, R., Bifurcating standing waves for effective equations in gapped honeycomb structures, <<NANOSYSTEMS>>, 2021; 12 (1): 5-14. [doi:10.17586/2220-8054-2021-12-1-5-14] [http://hdl.handle.net/10807/171309]
Bifurcating standing waves for effective equations in gapped honeycomb structures
Borrelli, William;
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 Schr¨odinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.
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