Vortex description of quantum Hall ferromagnets

Details Vortex description of quantum Hall ferromagnets Vortex description of quantum Hall ferromagnets

2009-06-09

arxiv.org/abs/0906.1764v3

Int.J.Mod.Phys.A25:993-1008,2010

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 1 figure. Minor changes and references are added. To appear in IJMPA

Scientific paper

10.1142/S0217751X10047816

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.

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