arXiv subjects

L. A. Abramyan

Publications and source records attributed to L. A. Abramyan.

2 recordsLinked to original sources

arXiv1999

Chern-Simons Correlations on (2+1)D Lattice

We have computed the contribution of zero modes to the value of the number of particles in the model of discrete (2+1)-dimensional nonlinear Schrödinger equation. It is shown for the first time that in the region of small values of the Chern-Simons coefficient k there exists a universal attraction between field configurations. For k=2 this phenomenon may be a dynamic origin of the semion pairing in high temperature superconducting state of planar systems.

cond-mat↗

arXiv1996

Collapse versus Turbulence

We study the solutions of the equations of motion in the gauged (2+1)-dimensional nonlinear Schrödinger model. The contribution of Chern-Simons gauge fields leads to a significant decrease of the critical power of self-focusing. We also show that at appropriate boundary conditions in the considered model there exists a regime of turbulent motions of hydrodynamic type.

hep-th↗