58 citations · 127 across the 4 of their papers we have counts for
4 papers · 1 filter
Spectrum of Electrons in Graphene as an Alternant Macromolecule and Its Specific Features in Quantum Conductance
Alexander Onipko
An exact description of electrons based on the tight-binding model of graphene as an alternant, plane macromolecule is presented. The model molecule can contain an arbitrary nu…
Quantum Conductance of Achiral Graphene Ribbons and Carbon Nanotubes
Lyuba Malysheva, Alexander Onipko
Explicit expressions of the band spectrum near the neutrality point for armchair and zigzag graphene ribbons and carbon nanotubes were derived based on a tight-binding macromolecul…
Dispersion of "Dispersionless Zero Mode": Comments on L. Brey and H.A. Fertig paper Electronic States of Graphene Nanoribbons Studied With The Dirac Equation
Lyuba Malysheva, Alexander Onipko
As a particular application of the earlier proposed model of graphene as a macromolecule, we found the exact analytical expression of dispersion relation for the band of edge state…
Spectrum of -electrons in Graphene As a Macromolecule
Lyuba Malysheva, Alexander Onipko
We report the exact solution of spectral problem for a graphene sheet framed by two armchair- and two zigzag-shaped boundaries. The solution is found for the electron Hamiltoni…