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7 papers · 2 filters
Zero-energy states of massive Dirac equation in magnetic fields
Igor F. Herbut
The Dirac equation with a U(1) vortex in the mass-term is solved in the presence of magnetic-like fields at zero energy. By drawing an analogy to classical mechanics, it is shown t…
Origin of conductance quantization in disordered graphene ribbons
S. Ihnatsenka, G. Kirczenow
We present numerical studies of conduction in graphene nanoribbons with different types of disorder. We find that even when defect scattering depresses the conductance to values tw…
Topological insulator in the core of the superconducting vortex in graphene
Igor F. Herbut
The core of the vortex in a general superconducting order parameter in graphene is argued to be ordered, with the possible order parameters forming the algebra U(1) X Cl(3), where…
Band-gap engineering and ballistic transport in corrugated graphene nanoribbons
S. Ihnatsenka, I. V. Zozoulenko, G. Kirczenow
We calculate the band structure and the conductance of periodic corrugated graphene nanoribbons within the framework of the tight-binding -orbital model. We consider corrugated…
Electron-electron interactions in antidot-based Aharonov-Bohm interferometers
S. Ihnatsenka, I. V. Zozoulenko, G. Kirczenow
We present a microscopic picture of quantum transport in quantum antidots in the quantum Hall regime taking electron interactions into account. We discuss the edge state structure,…
Explanation for the isotropy of the Dirac cone in graphene
Igor F. Herbut
It is shown that in the absence of spontaneous symmetry breaking the Dirac cones in the system of interacting electrons on honeycomb lattice are isotropic at low energies. The effe…