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arXiv · 1411.3316

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

Dung Xuan Nguyen·Dam Thanh Son·Chaolun Wu
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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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Dung Xuan Nguyen, Dam Thanh Son, Chaolun Wu. 2014-11-12. Lowest Landau Level Stress Tensor and Structure Factor of Trial Quantum Hall Wave Functions. https://arxiv.org/abs/1411.3316

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