21 citations · 52 across the 13 of their papers we have counts for
5 papers · 1 filter
On the NCCS model of the quantum Hall fluid
M. Eliashvili, G. Tsitsishvili
Area non-preserving transformations in the non-commutative plane are introduced with the aim to map the integer quantum Hall effect (IQHE) state on the fractional quantum Hal…
Area Preserving Transformations in Non-commutative Space and NCCS Theory
M. Eliashvili, G. Tsitsishvili
We propose an heuristic rule for the area transformation on the non-commutative plane. The non-commutative area preserving transformations are quantum deformation of the classical…
Geometric Transformations and NCCS Theory in the Lowest Landau Level
M. Eliashvili, G. Tsitsishvili
Chern-Simons type gauge field is generated by the means of the singular area preserving transformations in the lowest Landau level of electrons forming fractional quantum Hall stat…
Magnetic Instability in a Parity Invariant 2D Fermion System
M. Eliashvili, G. Tsitsishvili
We consider the parity invariant (2+1)-dimensional QED where the matter is represented as a mixture of fermions with opposite spins. It is argued that the perturbative ground state…
Chern-Simons Theory and Quantum Fields in the Lowest Landau Level
M. Eliashvili, G. Tsitsishvili
By considering the area preserving geometric transformations in the configuration space of electrons moving in the lowest Landau level (LLL) we arrive at the Chern-Simons type Lagr…