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Multipole Expansion in the Quantum Hall Effect

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.

preprint2015arXivOpen access
Andrea CappelliEnrico Randellini
cond-mat.mes-hallcond-mat.str-elhep-th
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Andrea CappelliEnrico Randellini

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