On the NCCS model of the quantum Hall fluid
Abstract
Area nonpreserving transformations in the noncommutative plane are introduced with the aim to map the ν=1 integer quantum Hall effect (IQHE) state on the ν=1/2p+1 fractional quantum Hall effect (FQHE) states. Using the hydrodynamical description of the quantum Hall fluid, it is shown that these transformations are generated by vector fields satisfying the Gauss law in the interacting noncommutative Chern Simons gauge theory, and the corresponding fieldtheory Lagrangian is reconstructed. It is demonstrated that the geometric transformations induce quantummechanical nonunitary similarity transformations, establishing the interplay between integral and fractional QHEs.
 Publication:

European Physical Journal C
 Pub Date:
 May 2007
 DOI:
 10.1140/epjc/s100520070265z
 arXiv:
 arXiv:hepth/0606286
 Bibcode:
 2007EPJC...50.1013E
 Keywords:

 High Energy Physics  Theory
 EPrint:
 4 pages, no figures, minor corrections, accepted in Eur. Phys. J. C