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

2014/11/12 by Dung Xuan Nguyen, Nguyen, Dung Xuan, D. Son +4 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mes-hall #cond-mat.str-el #hep-th

paper · pdf · doi:10.48550/arxiv.1411.3316

5 pages

arxiv created 2014/11/12 · openalex publication_date 2014/11/12 · arxiv updated 2014/12/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 s₄ k⁴ where the coefficient s₄ is directly related to the shift: s₄=(\mathcal S-1)/8.

Citations

• Nonabelions in the fractional quantum hall effect

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