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

2009/06/10 by Haldane, F. D. M. · 3 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.0906.1854

Abstract

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(q⁴) 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.

Cited by

• Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases
• Symmetries and dynamics of quantum Hall bulk anyons in quadratic potentials
• Majorana edge reconstruction and the ν=5/2 non-Abelian thermal Hall puzzle

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