Geometry of fractional quantum Hall fluids

Gil Young Cho, Yizhi You, Eduardo Fradkin

Research output: Contribution to journalArticlepeer-review


We use the field theory description of the fractional quantum Hall states to derive the universal response of these topological fluids to shear deformations and curvature of their background geometry, i.e., the Hall viscosity, and the Wen-Zee term. To account for the coupling to the background geometry, we show that the concept of flux attachment needs to be modified and use it to derive the geometric responses from Chern-Simons theories. We show that the resulting composite particles minimally couple to the spin connection of the geometry. We derive a consistent theory of geometric responses from the Chern-Simons effective field theories and from parton constructions, and apply it to both Abelian and non-Abelian states.

Original languageEnglish (US)
Article number115139
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - Sep 22 2014

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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