Research

I am currently developing a new geometric description of the fractional quantum Hall effect that introduces the "shape" of the "composite boson", described by a "unimodular" (determinant 1) spatial metric-tensor field as the fundmamental collective degree of freedom of FQHE states. See arXiv:1106.3375 This new "Chern-Simons + quantum geometry" description is a replacement for the "Chern-Simons + Ginzburg-Landau" paradigm introduced c.1990. Unlike its predecessor, it provides a description of the FQHE collective mode that agrees with the Girvin-Macdonald-Platzman "single-mode approximation". This work grew out of an earlier study arxiv:0906.1854 of the dissipationless "Hall viscosity" of FQHE states.