21 citations · 52 across the 13 of their papers we have counts for
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Group Structure of Wilson Loops in 2D Models with 2- and 4-Band Energy Spectra
T. Supatashvili, M. Eliashvili, G. Tsitsishvili
We consider a tight-binding model defined by a matrix Hamiltonian over 2D Brillouin zone. Multiband energy spectrum gives rise to a non-Abelian gauge structure set by the Berry con…
Edge States of a Periodic Chain with Four-Band Energy Spectrum
M. Eliashvili, D. Kereselidze, G. Tsitsishvili +1
Tight-binding model on a finite chain is studied with four-fold alternated hopping parameters . Imposing the open boundary conditions, the corresponding recursion is s…
Boundary Conditions and Formation of Pure Spin Currents in Magnetic Field
Merab Eliashvili, George Tsitsishvili
Schrödinger equation for an electron confined to a two-dimensional strip is considered in the presence of homogeneous orthogonal magnetic field. Since the system has edges, the eig…
The quantum group, Harper equation and the structure of Bloch eigenstates on a honeycomb lattice
Merab Eliashvili, George I. Japaridze, George Tsitsishvili
The tight-binding model of quantum particles on a honeycomb lattice is investigated in the presence of homogeneous magnetic field. Provided the magnetic flux per unit hexagon is ra…
Exact Symmetries of Electron Interactions in the Lowest Landau Level
M. Eliashvili, Z. F. Ezawa, G. Tsitsishvili
Considering the system of interacting electrons in the lowest Landau level we show that the corresponding four-fermion Hamiltonian is invariant with respect to the local area-prese…