## 6 Citations

The Branch Process of Skyrmions in the Fractional Quantum Hall Effect

- Physics
- 2005

The branch process of the skyrmions in the fractional quantum Hall effect is studied from the -mapping topological current. It is shown that there exists a field ζ whose Hopf indices and Brouwer…

Inner Structure of Statistical Gauge Potential in Chern–Simons–Ginzburg–Landau Theory*

- Physics
- 2005

Based on the decomposition theory of the U(1) gauge potential, the inner structure of the statistical gauge potential in the Chern–Simons–Ginzburg–Landau (CSGL) theory is studied. We give a new…

Multi-types of Skyrmions in SU(N) Quantum Hall System

- Physics
- 2005

The skyrmions in SU(N) quantum Hall (QH) system are discussed. By analyzing the gauge field structure and the topological properties of this QH system it is pointed out that in the SU(N) QH system…

Knots in the non-abelian Chern-Simons theory

- Mathematics
- 2004

We employ a spinor decomposition of SU(2) connection to study the Chern–Simons form. Our results show that the SU(2) Chern–Simons action yields the link invariants. Then the structure of the knots is…

## References

SHOWING 1-10 OF 41 REFERENCES

Field theories of condensed matter systems

- Physics
- 1991

ForewordIntroductionThe Hubbard ModelThe Magnetic Instability of the Fermi SystemOne-Dimensional Quantum AntiferromagnetsSigma Models, Topological Terms and Spin LiquidsThe Spin Liquid StatesChiral…

Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations

- Physics
- 1983

This Letter presents variational ground-state and excited-state wave functions which describe the condensation of a two-dimensional electron gas into a new state of matter.

Effective-field-theory model for the fractional quantum Hall effect.

- PhysicsPhysical review letters
- 1989

A field-theory model for the fractional quantum Hall effect and an approximate coarse-grained version of the same model are derived, and a Landau-Ginzburg theory similar to that of Girvin is constructed.

Two-Dimensional Magnetotransport in the Extreme Quantum Limit

- Physics
- 1982

A quantized Hall plateau of ρxy=3he2, accompanied by a minimum in ρxx, was observed at T<5 K in magnetotransport of high-mobility, two-dimensional electrons, when the lowest-energy, spin-polarized…

The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect

- Physics
- 1992

This paper gives a systematic review of a field theoretical approach to the fractional quantum Hall effect (FQHE) that has been developed in the past few years. We first illustrate some simple…

Boson-vortex-Skyrmion duality, spin-singlet fractional quantum Hall effect, and spin-1/2 anyon superconductivity.

- Physics, MedicinePhysical review letters
- 1990

Explication de l'effet Hall quantique fractionnaire and of the supraconductivite ergonique a spin-singulet comme une condensation des tourbillons and des skyrmions dans les etats de Hall quantiques fractionnaire varies.

Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies.

- PhysicsPhysical review. B, Condensed matter
- 1993

It is found that the two-dimensional electron gas in a high magnetic field at filling factor ν=1 for an arbitrary ratio of the Zeeman energy gμ B B to the typical interaction energy always has a gap, even when the one-particle gap vanishes.

The bifurcation theory of the Gauss-Bonnet-Chern topological current and Morse function

- Mathematics, Physics
- 1998

Magnus force on skyrmions in ferromagnets and quantum Hall systems.

- PhysicsPhysical review. B, Condensed matter
- 1996

It is shown that the Magnus and Lorentz forces are merely different descriptions of the same physical effect.