Multipole Expansion in the Quantum Hall Effect

Andrea Cappelli; Enrico Randellini

doi:10.1007/jhep03(2016)105

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arXiv · 1512.02147

Multipole Expansion in the Quantum Hall Effect

Andrea Cappelli·Enrico Randellini

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Abstract

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.

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Andrea Cappelli, Enrico Randellini. 2015-12-28. Multipole Expansion in the Quantum Hall Effect. https://doi.org/10.1007/jhep03(2016)105

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