Self-duality and long-wavelength behavior of the Landau-level guiding-center structure function, and the shear modulus of fractional quantum Hall fluids

Details Self-duality and long-wavelength behavior of the Landau-level guiding-center structure function, and the shear modulus of fractional quantum Hall fluids Self-duality and long-wavelength behavior of the Landau-level guiding-center structure function, and the shear modulus of fractional quantum Hall fluids

2011-12-05

arxiv.org/abs/1112.0990v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 0 figures; (v2:) typo GL(2,R)->SL(2,R)fixed

Scientific paper

A remarkable self-duality of the "guiding-center" structure function s(q) of
particles in a partially-filled 2D Landau level is used to express the
long-wavelength collective excitation energy of fractional quantum Hall fluids
in terms of a shear modulus. A bound on the small-q behavior of s(q) is given.

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