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The energy spectrum of an epitaxial graphene bilayer is investigated. The most general case of spontaneous breaking of the P symmetry within and between the layers is considered. The influence of the gate voltage on the energy spectrum is studied. It is shown that a general profile of this influence substantially depends on the ratio between bandgaps corresponding to different layers. At a certain...
The system of generalized coupled nonlinear Schrödinger equations is considered. Using Darboux transformation, a new class of vector dark soliton solutions is obtained. Presented solutions possess an oscillating background density, which was not previously reported. Furthermore, dark vector solitons known previously are the particular case of the presented. Explicit one-, two-soliton solutions and...
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