Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems

Dung Xuan Nguyen, F. D.M. Haldane, E. H. Rezayi, Dam Thanh Son, Kun Yang

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6 Scopus citations


We study, numerically, the charge neutral excitations (magnetorotons) in fractional quantum Hall systems, concentrating on the two Jain states near quarter filling, ?=2/7 and ?=2/9, and the ?=1/4 Fermi-liquid state itself. In contrast to the ?=1/3 states and the Jain states near half filling, on each of the two Jain states ?=2/7 and ?=2/9 the graviton spectral densities show two, instead of one, magnetoroton peaks. The magnetorotons have spin 2 and have opposite chiralities in the ?=2/7 state and the same chirality in the ?=2/9 state. We also provide a numerical verification of a sum rule relating the guiding center spin s¯ with the spectral densities of the stress tensor.

Original languageEnglish (US)
Article number246402
JournalPhysical review letters
Issue number24
StatePublished - Jun 17 2022

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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