Vortex description of quantum Hall ferromagnets

Understand

We study particle states of quantum Hall ferromagnet from the viewpoint of the incompressible fluid description.

• It is shown that phase space of Chern-Simons matrix theory which is an effective theory for the incompressible fluid is equivalent to moduli space of vortex theory.
• According to this correspondence, elementary excitations in vortex theory are identified as particle states in quantum Hall ferromagnet, and thus we propose that a pure electron state is absent from the strong coupling region but only a composite particle state is present.