40 citations · 156 across the 20 of their papers we have counts for
20 papers
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…
Edge states in 2D lattices with hopping anisotropy and Chebyshev polynomials
M. Eliashvili, G. I. Japaridze, G. Tsitsishvili +1
Analytic technique based on Chebyshev polynomials is developed for studying two-dimensional lattice ribbons with hopping anisotropy. In particular, the tight-binding models on squa…
Nambu-Goldstone modes and the Josephson supercurrent in the bilayer quantum Hall system
Yusuke Hama, George Tsitsishvili, Zyun F. Ezawa
An interlayer phase coherence develops spontaneously in the bilayer quantum Hall system at the filling factor . On the other hand, the spin and pseudospin degrees of freedom a…
Spin Supercurrent in the Canted Antiferromagnetic Phase
Yusuke Hama, George Tsitsishvili, Zyun F. Ezawa
The spin and layer (pseudospin) degrees of freedom are entangled coherently in the canted antiferromagnetic phase of the bilayer quantum Hall system at the filling factor . Th…