English

Multipole Expansion in the Quantum Hall Effect

Strongly Correlated Electrons 2016-04-20 v2 Mesoscale and Nanoscale Physics High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1512.02147,
  title  = {Multipole Expansion in the Quantum Hall Effect},
  author = {Andrea Cappelli and Enrico Randellini},
  journal= {arXiv preprint arXiv:1512.02147},
  year   = {2016}
}

Comments

29 pages, 5 figures; v2: comments and references added

R2 v1 2026-06-22T12:03:29.085Z