Geometric responses of the Pfaffian state

Abstract

We define and study the Pfaffian state on Riemann surfaces with arbitrary metrics and an inhomogeneous magnetic field and derive its universal transport coefficients. Following a path integral approach, we compute the generating functional which encodes the linear response of the system to a variation of the background metric and the magnetic field and use it to compute the leading and sub-leading corrections to the charge density in a large-$N$ expansion. We also present the first derivation of gravitational anomaly contribution at O$(k^6)$ to the static structure factor for the Pfaffian state in the long wavelength limit.

arXiv comment18 pages

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Cited by in corpus (8)

• Cornering the universal shape of fluctuations
• Collective excitations at filling factor 5/2: The view from superspace
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• Extended Nappi-Witten Geometry for the Fractional Quantum Hall Effect
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• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Liouville perturbation theory for Laughlin state and Coulomb gas