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Condensed Matter > Strongly Correlated Electrons

arXiv:2111.10593 (cond-mat)
[Submitted on 20 Nov 2021]

Title:Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems

Authors:Dung Xuan Nguyen, F. D. M. Haldane, E. H. Rezayi, Dam Thanh Son, Kun Yang
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Abstract:We study numerically the the charge neutral excitations (magnetorotons) in fractional quantum Hall systems, concentrating on the two Jain states near quarter filling, $\nu=2/7$ and $\nu=2/9$, and the $\nu=1/4$ Fermi-liquid state itself. In contrast to the $\nu=1/3$ states and the Jain states near half filling, on each of the two Jain states $\nu=2/7$ and $\nu=2/9$ the graviton spectral densities show two, instead of one, magnetoroton peaks. The magnetorotons have spin 2 and have opposite chiralities in the $\nu=2/7$ state and the same chirality in the $\nu=2/9$ state. We also provide a numerical verification of a sum rule relating the guiding center spin $\bar s$ with the spectral densities of the stress tensor
Comments: 6+2 pages. 9 Figures. Comments are welcome!
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.10593 [cond-mat.str-el]
  (or arXiv:2111.10593v1 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.2111.10593
Journal reference: Phys. Rev. Lett. 128, 246402 (2022)
Related DOI: https://doi.org/10.1103/PhysRevLett.128.246402

Submission history

From: Dung Xuan Nguyen [view email]
[v1] Sat, 20 Nov 2021 14:03:24 UTC (602 KB)
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