Multipole Expansion in the Quantum Hall Effect

Andrea Cappelli; Enrico Randellini

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Multipole Expansion in the Quantum Hall Effect

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arxiv 1512.02147 v2 pith:COAXPDAC submitted 2015-12-07 cond-mat.str-el cond-mat.mes-hallhep-th

Multipole Expansion in the Quantum Hall Effect

Andrea Cappelli , Enrico Randellini This is my paper

classification cond-mat.str-el cond-mat.mes-hallhep-th

keywords excitationsexpansionhalllow-energyquantumactionactionsapproach

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The effective action for low-energy excitations of Laughlin's states is obtained by systematic expansion in inverse powers of the magnetic field. It is based on the W-infinity symmetry of quantum incompressible fluids and the associated higher-spin fields. Besides reproducing the Wen and Wen-Zee actions and the Hall viscosity, this approach further indicates that the low-energy excitations are extended objects with dipolar and multipolar moments.

Multipole Expansion in the Quantum Hall Effect

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