4.4 Article

Multipole expansion in the quantum hall effect

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP03(2016)105

Keywords

Conformal and W Symmetry; Field Theories in Lower Dimensions; Topological States of Matter

Funding

  1. Simons Center for Geometry and Physics, Stony Brook
  2. G. Galilei Institute for Theoretical Physics, Arcetri
  3. European IRSES grant, 'Quantum Integrability, Conformal Field Theory and Topological Quantum Computation' (QICFT)

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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.

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