58 citations · 152 across the 9 of their papers we have counts for
9 papers
Analytic Theory of Wannier-Stark Quantization in Two Dimensions
Alexander Onipko, Lyuba Malysheva
For the first time, one-particle theory of Wannier-Stark quantization for a 1)-long chain affected by a homogeneous electric field is extended to the 2D case of …
-Electron Spectrum of Oligoperylene[] -- Graphene Macromolecule and Its Derivatives
Alexander Onipko, Lyuba Malysheva
We revisit the model of graphene as a -conjugated macromolecule \cite{PRL} and show that it allows to understand the origin and describe, in many cases explicitly, the electroni…
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…
Electron transmission through step- and barrier-like potentials in graphene ribbons
Yuriy Klymenko, Lyuba Malysheva, Alexander Onipko
The list of textbook tunneling formulas is extended by deriving exact expressions for the transmission coefficient in graphene ribbons with armchair edges and the step-like and bar…
From acene to graphene spectrum of electrons with the use of the Green's function
Lyuba Malysheva, Alexander Onipko
Origin of the spectrum of electrons that results from coupling of -long acenes via C-C covalent bonding have been traced with the use of the Green function formalis…
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…