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Vortex Description of Quantum Hall Ferromagnets
Kimura, Taro
3224
421
Topological soliton
noncommutative field theory
quantum Hall effect
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.
journal article
World Scientific Publishing Company
2010-02-20
application/pdf
International journal of modern physics. A, Particles and fields, gravitation, cosmology
5
25
993
1008
AA10669072
0217751X
https://repository.dl.itc.u-tokyo.ac.jp/record/836/files/Kimura_IJMPA25_5.pdf
eng
info:doi/10.1142/S0217751X10047816
http://dx.doi.org/10.1142/S0217751X10047816
http://arxiv.org/abs/0906.1764v3
Electronic version of an article published as International Journal of Modern Physics A : Particles and Fields, Gravitation, Cosmology, Vol. 25, Issue 5, 2010, pp. 993–1008, Article DOI: 10.1142/S0217751X10047816, © World Scientific Publishing Company, Journal URL: http://www.worldscinet.com/ijmpa/ijmpa.shtml