Lowest Landau Level Stress Tensor and Structure Factor of Trial Quantum Hall Wave Functions

Abstract

We show that for a class of model Hamiltonians for which certain trial quantum Hall wavefunctions are exact ground states, there is a single spectral density function which controls all two-point correlation functions of density, current and stress tensor components. From this we show that the static structure factors of these wavefunctions behaves at long wavelengths as $s_4{k}^4$ where the coefficient $s_4$ is directly related to the shift: $s_4=(\mathcal{S}-1)/8$.

arXiv comment5 pages

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Cited by in corpus (4)

• Volume-preserving diffeomorphism as nonabelian higher-rank gauge symmetry
• Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems
• On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
• A numerical study of bounds in the correlations of fractional quantum Hall states