Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 155

Viscosity of Quantum Hall Fluids

J. E. Avron, R. Seiler, P. Zograf

The viscosity of quantum fluids with an energy gap at zero temperature is non-dissipative and is related to the adiabatic curvature on the space of flat background metrics (which plays the role of the parameter space). For a quantum Hall fluid on two dimensional tori this viscosity is computed. In this case the average viscosity is quantized and is proportional to the total magnetic flux through the torus.

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No PostScript version available.

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