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, ν = 2/7 and ν = 2/9, and the ν = 1/4 Fermi-liquid state itself. In contrast to the ν = 1/3 states and the Jain states near half filling, on each of the two Jain states ν = 2/7 and ν = 2/9 the graviton spectral densities show two, instead of one, magnetoroton peaks. The magnetorotons have spin 2 and have opposite chiralities in the ν = 2/7 state and the same chirality in the ν = 2/9 state. Here, we also provide a numerical verification of a sum rule relating the guiding center spin s¯ with the spectral densities of the stress tensor.
- Authors:
-
[1];
- Brown Univ., Providence, RI (United States)
- Princeton Univ., NJ (United States)
- California State Univ. Los Angeles, CA (United States)
- Univ. of Chicago, IL (United States)
- Florida State Univ., Tallahassee, FL (United States)
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1903188
- Grant/Contract Number:
- SC0009924; SC0002140; FG02-13ER41958; DMR-1644779
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 128; Journal Issue: 24; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Fractional quantum Hall effect; 2-dimensional systems; Effective field theory; Exact diagonalization
Citation Formats
Nguyen, Dung Xuan, Haldane, F. D. M., Rezayi, E. H., Son, Dam Thanh, and Yang, Kun. Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems. United States: N. p., 2022.
Web. doi:10.1103/physrevlett.128.246402.
Nguyen, Dung Xuan, Haldane, F. D. M., Rezayi, E. H., Son, Dam Thanh, & Yang, Kun. Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems. United States. https://doi.org/10.1103/physrevlett.128.246402
Nguyen, Dung Xuan, Haldane, F. D. M., Rezayi, E. H., Son, Dam Thanh, and Yang, Kun. Mon .
"Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems". United States. https://doi.org/10.1103/physrevlett.128.246402. https://www.osti.gov/servlets/purl/1903188.
@article{osti_1903188,
title = {Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems},
author = {Nguyen, Dung Xuan and Haldane, F. D. M. and Rezayi, E. H. and Son, Dam Thanh and Yang, Kun},
abstractNote = {We study, numerically, the charge neutral excitations (magnetorotons) in fractional quantum Hall systems, concentrating on the two Jain states near quarter filling, ν = 2/7 and ν = 2/9, and the ν = 1/4 Fermi-liquid state itself. In contrast to the ν = 1/3 states and the Jain states near half filling, on each of the two Jain states ν = 2/7 and ν = 2/9 the graviton spectral densities show two, instead of one, magnetoroton peaks. The magnetorotons have spin 2 and have opposite chiralities in the ν = 2/7 state and the same chirality in the ν = 2/9 state. Here, we also provide a numerical verification of a sum rule relating the guiding center spin s¯ with the spectral densities of the stress tensor.},
doi = {10.1103/physrevlett.128.246402},
journal = {Physical Review Letters},
number = 24,
volume = 128,
place = {United States},
year = {Mon Jun 13 00:00:00 EDT 2022},
month = {Mon Jun 13 00:00:00 EDT 2022}
}
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