A mathematical basis for the graphene

dc.contributor.authorConca, C.
dc.contributor.authorSan Martín, J.
dc.contributor.authorSolano, Viviana
dc.date.accessioned2021-08-25T17:57:22Z
dc.date.available2021-08-25T17:57:22Z
dc.date.issued2020
dc.description.abstractWe present a new basis of representation for the graphene honeycomb structure that facilitates the solution of the eigenvalue problem by reducing it to one dimension. We define spaces in these geometrical basis that allow us to solve the Hamiltonian in the edges of the lattice. We conclude that it is enough to analyze a one-dimensional problem in a set of coupled ordinary second-order differential equations to obtain the behavior of the solutions in the whole graphene structurees
dc.format.extent33 p.es
dc.identifier.citationComputational and Applied Mathematics 39, 19 (2020)es
dc.identifier.urihttps://doi.org/10.1007/s40314-019-0993-3es
dc.identifier.urihttp://hdl.handle.net/11447/4478
dc.language.isoenes
dc.subjectPeriodic solutionses
dc.subjectStabilityes
dc.subjectGeneral spectral theoryes
dc.subjectSpectral theory and eigenvalue problemses
dc.subjectGraphenees
dc.subjectHoneycomb structurees
dc.titleA mathematical basis for the graphenees
dc.typeArticlees

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