Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems

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

doi:10.1103/physrevlett.128.246402

Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems

Journal Article · Mon Jun 13 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.128.246402· OSTI ID:1903188

^[1]; Haldane, F. D. M. ^[2]; Rezayi, E. H. ^[3]; Son, Dam Thanh ^[4]; Yang, Kun ^[5]

Brown Univ., Providence, RI (United States); UChicago
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)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0002140; SC0009924

OSTI ID:: 1903188

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 128; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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