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Phonon Absorption at the Magnetoroton Minimum in the Fractional Quantum Hall Effect

1994/08/10 by CJ Mellor, Christopher J. Mellor, RH Eyles +15
Engineering · Physics and Astronomy · #Absorption (acoustics) #Advancements in Semiconductor Devices and Circuit Design #Composite fermion #Condensed matter physics #Electron #Fractional quantum Hall effect #Optics #Phonon #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Surface and Thin Film Phenomena #cond-mat

paper · pdf · doi:10.1103/physrevlett.74.2339

12 pages. Typeset using RevTex. Report Number NU-PH-032

arxiv created 1994/08/10 · openalex publication_date 1995/03/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We have made the first phonon absorption measurements in the fractional quantum Hall regime. Experiments have been conducted on two samples which have similar electron densities but greatly differing mobilities. The energy gaps as measured by activation studies of the longitudinal resistance differ by a factor of 2. Phonon absorption measurements give almost identical values for the energy gap, demonstrating that the gap measured in this way is rather insensitive to disorder. The value of this gap is in agreement with the activation gap measured in the high mobility sample. Values obtained at \ensuremathν\phantom\rule0ex0ex=\phantom\rule0ex0ex2/3 are in good agreement with theory.

Citations