@article{045f771927124fa38ac6a61eccdd5fb6,
title = "Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems",
abstract = "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.",
author = "Nguyen, {Dung Xuan} and Haldane, {F. D.M.} and Rezayi, {E. H.} and Son, {Dam Thanh} and Kun Yang",
note = "Funding Information: This work is supported, in part, by the US Department of Energy, Basic Energy Sciences Award No. DE-SC0002140 (F. D. M. H., E. H. R., K. Y.), U.S. DOE Award No. DE-FG02-13ER41958 (D. T. S.), a Simons Investigator grant and by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651440, DTS). K. Y.{\textquoteright}s work was performed at the National High Magnetic Field Laboratory, which is supported by National Science Foundation Cooperative Agreement No. DMR-1644779, and the State of Florida. D. X. N. was supported by Brown Theoretical Physics Center. Publisher Copyright: {\textcopyright} 2022 American Physical Society.",
year = "2022",
month = jun,
day = "17",
doi = "10.1103/PhysRevLett.128.246402",
language = "English (US)",
volume = "128",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "24",
}