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Anomalously Low Magnetoroton Energies of the Unconventional Fractional Quantum Hall States of Composite Fermions

2014/11/30 by Sutirtha Mukherjee, Sudhansu S. Mandal
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Composite fermion #Condensed matter physics #Electron #Fermion #Fractional quantum Hall effect #Landau quantization #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Wave function #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.114.156802

published as Phys. Rev. Lett. 114, 156802 (2015) · Title has been changed. The article is rewritten

arxiv created 2015/02/18 · openalex publication_date 2015/04/16 · arxiv updated 2015/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show a generic formation of the primary magnetorotons in the collective modes of the observed "unconventional" fractional quantum Hall effect states of the composite fermions at the filling factors 4/11, 4/13, 5/13, 5/17, and 3/8 at very low wave vectors with anomalously low energies which do not have any analog to the conventional fractional quantum Hall states. Rather slow decay of the oscillations of the pair-correlation functions in these states is responsible for the low-energy magnetorotons. This is a manifestation of the distinct topology predicted previously for these fractional quantum Hall effect states. Experimental consequences of our theory are also discussed.

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