Topological excitation in the fractional quantum Hall system

  title={Topological excitation in the fractional quantum Hall system},
  author={Yi-shi Duan and Pengming Zhang and Hong Zhang},
  journal={Physics Letters A},
6 Citations
The Branch Process of Skyrmions in the Fractional Quantum Hall Effect
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*
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
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
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


Field theories of condensed matter systems
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
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.
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
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
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.
  • Lee, Kane
  • Physics, Medicine
    Physical 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.
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.
Magnus force on skyrmions in ferromagnets and quantum Hall systems.
  • Stone
  • Physics
    Physical review. B, Condensed matter
  • 1996
It is shown that the Magnus and Lorentz forces are merely different descriptions of the same physical effect.