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

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arxiv 1411.3316 v1 pith:ISMOF7WM submitted 2014-11-12 cond-mat.str-el cond-mat.mes-hallhep-th

classification cond-mat.str-elcond-mat.mes-hallhep-th
keywords densityfunctionshallquantumstressstructuretensortrial
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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: $s_4=(\mathcal S-1)/8$.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 15 citations worldwide. Full citation record

  1. Chiral Graviton Modes in Fermionic Fractional Chern Insulators

    cond-mat.str-el 2026-01 conditional novelty 7.0 of 10

    Chiral graviton modes survive as long-lived, well-defined excitations in fermionic fractional Chern insulators, adiabatically connected to their fractional quantum Hall counterparts.

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