16 citations · 36 across the 7 of their papers we have counts for
7 papers
Coweight lattice and lattice simplices
Andrey Zabolotskiy
There exist as many index- sublattices of the hexagonal lattice up to isometry as there exist lattice triangles with normalized volume up to unimodular equivalence, which ca…
Virial theorem, boundary conditions, and pressure for massless Dirac electrons
Alexey A. Sokolik, Andrey D. Zabolotskiy, Yurii E. Lozovik
The virial and the Hellmann--Feynman theorems for massless Dirac electrons in a solid are derived and analyzed using generalized continuity equations and scaling transformations. B…
Strain-induced pseudomagnetic and scalar fields in symmetry-enforced Dirac nodes
A. D. Zabolotskiy, Yu. E. Lozovik
It is known that Dirac nodes can be present at high-symmetry points of Brillouin zone only for certain space groups. For these cases, the effect of strain is treated by symmetry co…
Many-body effects of Coulomb interaction on Landau levels in graphene
A. A. Sokolik, A. D. Zabolotskiy, Yu. E. Lozovik
In strong magnetic fields, massless electrons in graphene populate relativistic Landau levels with the square-root dependence of each level energy on its number and magnetic field.…
Topological phase transition induced by Zeeman field in topological insulator/superconductor heterostructure
R. S. Akzyanov, A. D. Zabolotskiy
We investigate a topological insulator -- superconductor heterostructure with an Abrikosov vortex in a magnetic field. Large Zeeman field causes a topological phase transition in t…
Generalized virial theorem for massless electrons in graphene and other Dirac materials
A. A. Sokolik, A. D. Zabolotskiy, Yu. E. Lozovik
The virial theorem for a system of interacting electrons in a crystal, which is described within the framework of the tight-binding model, is derived. We show that, in particular c…
Quantum capacitance and compressibility of graphene: The role of Coulomb interactions
Yu. E. Lozovik, A. A. Sokolik, A. D. Zabolotskiy
Many-body effects on quantum capacitance, compressibility, renormalized Fermi velocity, kinetic and interaction energies of massless Dirac electrons in graphene, induced by the Cou…