Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems
| Title: | Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems |
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| Authors: | Nguyen, Dung Xuan, Haldane, F. D. M., Rezayi, E. H., Son, Dam Thanh, Yang, Kun |
| Source: | Phys. Rev. Lett. 128, 246402 (2022) |
| Publication Year: | 2021 |
| Collection: | Condensed Matter High Energy Physics - Theory |
| Subject Terms: | Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Mesoscale and Nanoscale Physics, High Energy Physics - Theory |
| More Details: | 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 Comment: 6+2 pages. 9 Figures. Comments are welcome! |
| Document Type: | Working Paper |
| DOI: | 10.1103/PhysRevLett.128.246402 |
| Access URL: | http://arxiv.org/abs/2111.10593 |
| Accession Number: | edsarx.2111.10593 |
| Database: | arXiv |
| DOI: | 10.1103/PhysRevLett.128.246402 |
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