4 papers
On the Holomorphic Gauge Quantization of the Chern-Simons Theory and Laughlin Wave Functions
M. Eliashvili
Chern-Simons-Matter Lagrangian with noncompact gauge symmetry group is considered. The theory is quantized in the holomorphic gauge with a complex gauge fixing condition. The model…
On the Meissner effect in the Relativistic Anyon superconductors
M. Eliashvili, G. Tsitsishvili
The relativistic model with two types of planar fermions interacting with the Chern-Simons and Maxwell fields is applied to the study of anyon superconductor. It is demonstrated, t…
On the composite fermion approach in the FQHE
M. Eliashvili
FQHE is presented in the form of non-unitary singular similarity transformation, which relates the Laughlin wave function (and its particle-hole conjugate) to the composite quasi-…
The Infinite Symmetry and Interplay Between Integer and Fractional Quantum Hall Effect
M. Eliashvili
It is shown, that a spectrum generating algebras and wave functions for the integral and fractional quantum Hall effect are related by the non-unitary similarity transformation. Th…