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Charges and Currents in the Noncommutative Chern-Simons Theory of the QHE

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arxiv cond-mat/0109413 v3 pith:NUSSQHUD submitted 2001-09-21 cond-mat.mes-hall hep-th

Charges and Currents in the Noncommutative Chern-Simons Theory of the QHE

classification cond-mat.mes-hall hep-th
keywords fieldmagnetictheorychern-simonsdensityelectriclowestnoncommutative
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We couple the noncommutative Chern-Simons theory describing the fractional quantum Hall effect to external magnetic and electric potentials, and derive expressions for charge and current densities. To lowest non-trivial order the density operator satisfies the commutator algebra characteristic of the lowest Landau level. We take this as a strong indication that the theory correctly describes point particles in a strong magnetic field. We also obtain the correct QH response to a constant electric field, and density modulations in response to a weak variable magnetic field.

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