# CHARGED VORTEX DYNAMICS IN GINZBURG–LANDAU THEORY OF THE FRACTIONAL QUANTUM HALL EFFECT

@article{Allen1995CHARGEDVD, title={CHARGED VORTEX DYNAMICS IN GINZBURG–LANDAU THEORY OF THE FRACTIONAL QUANTUM HALL EFFECT}, author={Theodore J. Allen and Andrew J. Bordner}, journal={International Journal of Modern Physics A}, year={1995}, volume={10}, pages={645-666} }

We write a Ginzburg–Landau Hamiltonian for a charged order parameter interacting with a background electromagnetic field in 2 + 1 dimensions, which we propose as an effective theory for the fractional quantum Hall effect. We further propose to identify vortex excitations of the theory with Laughlin's fractionally charged quasiparticles. Using the method of Lund we derive a collective coordinate action for vortex defects in the order parameter and demonstrate that the vortices are charged. We…

## 3 Citations

Phase Space Reduction and Vortex Statistics

- Physics
- 1993

We examine the quantization of the motion of two charged vortices in a Ginzburg–Landau theory for the fractional quantum Hall effect recently proposed by the first two authors. The system has two…

Phase space reduction and vortex statistics: An anyon quantization ambiguity.

- Physics, MedicinePhysical review. D, Particles and fields
- 1994

This work examines the quantization of the motion of two charged vortices in a Ginzburg-Landau theory for the fractional quantum Hall effect and shows that these two ways of implementing the constraints are inequivalent unless the vortsices are quantized with conventional statistics, either fermionic or bosonic.

Hopf term, loop algebras and three dimensional Navier-Stokes equation

- Physics
- 1993

The dynamics of the three-dimensional perfect fluid is equivalent to the motion of vortex filaments or "strings." We study the action principle and find that it is described by the Hopf term of the…

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