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… 
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References

SHOWING 1-10 OF 31 REFERENCES
Geometric Phases in Physics
During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a
Collective Field Representation of Nonrelativistic Fermions in (1+1) Dimensions
A collective field formalism for nonrelativistic fermions in (1+1) dimensions is presented. Applications to the D=1 hermitian matrix model and the system of one-dimensional fermions in the presence
Surface Science
Recent Progress in Surface ScienceVol. 1. Edited by J. E. Danielli, K. G. A. Pankhurst and A. C. Riddiford. Pp. xii + 414. (New York: Academic Press, Inc.; London: Academic Press, Inc. (London),
Int
  • J. Mod. Phys. A6 (1991) 5079; D. Karabali and B. Sakita, to appear in the proceedings of the International Sakharov conference, Moscow
  • 1991
Phys. Lett. A
  • Phys. Lett. A
  • 1991
the proceedings of the International Sakharov conference
  • the proceedings of the International Sakharov conference
  • 1991
Mod. Phys. Lett
  • Mod. Phys. Lett
  • 1990
Phys. Rev. Lett. Phys. Rev. Lett
  • Phys. Rev. Lett. Phys. Rev. Lett
  • 1989
Nucl. Phys
  • Nucl. Phys
  • 1985
Phys. Rev. Lett. Phys. Rev
  • Phys. Rev. Lett. Phys. Rev
  • 1984
...
1
2
3
4
...