"Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids

Details "Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids "Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids

2009-06-10

arxiv.org/abs/0906.1854v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages no figures. (Note: this version will be substantially rewritten in an attempt simplify the discussion, in response to

Scientific paper

The (guiding-center) "Hall viscosity" is a fundamental tensor property of incompressible ``Hall fluids'' exhibiting the fractional quantum Hall effect; it determines the stress induced by a non-uniform electric field, and the intrinsic dipole moment on (unreconstructed) edges. It is characterized by a rational number and an intrinsic metric tensor that defines distances on an ``incompressibility lengthscale''. These properties do not require rotational invariance in the 2D plane. The sign of the guiding-center Hall viscosity distinguishes particle fluids from hole fluids, and its magnitude provides a lower bound to the coefficient of the $O(q^4)$ small-q limit of the guiding center structure factor, a fundamental measure of incompressibility. This bound becomes an equality for conformally-invariant model wavefunctions such as Laughlin or Moore-Read states.

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