2009/06/30 by Taro Kimura
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #cond-mat.str-el #hep-th
paper · pdf · doi:10.1142/s0217751x10047816
published as Int.J.Mod.Phys.A25:993-1008,2010 · 15 pages, 1 figure. Minor changes and references are added. To appear in IJMPA
arxiv created 2009/11/12 · openalex publication_date 2010/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.