Phonon emission and absorption in the fractional quantum Hall effect

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Original languageEnglish
Pages (from-to)164-168
Number of pages5
JournalPhysica B: Condensed Matter
Volume298
Issue number1-4
Publication statusPublished - 1 Apr 2001

Abstract

We investigate the time dependent thermal relaxation of a two-dimensional electron system (2DES) in the fractional quantum Hall regime, where ballistic phonons are used to heat up the system to a non-equilibrium temperature. The thermal relaxation of a 2DES at ν = 1/2 can be described in terms of a broad band emission of phonons, with a temperature dependence proportional to T4. In contrast, the relaxation at fractional filling ν = 2/3 is characterized by phonon emission around a single energy, the magneto-roton gap. This leads to a strongly reduced energy relaxation rate compared to ν = 1/2 with only a weak temperature dependence for temperatures 150 mK < T < 400 mK.

Keywords

    Energy relaxation, Fractional quantum Hall effect, Magneto-roton gap, Phonons

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Cite this

Phonon emission and absorption in the fractional quantum Hall effect. / Schulze-Wischeler, F.; Zeitler, U.; Monka, M. et al.
In: Physica B: Condensed Matter, Vol. 298, No. 1-4, 01.04.2001, p. 164-168.

Research output: Contribution to journalArticleResearchpeer review

Schulze-Wischeler F, Zeitler U, Monka M, Hohls F, Haug RJ, Eberl K. Phonon emission and absorption in the fractional quantum Hall effect. Physica B: Condensed Matter. 2001 Apr 1;298(1-4):164-168. doi: 10.1016/S0921-4526(01)00293-9
Schulze-Wischeler, F. ; Zeitler, U. ; Monka, M. et al. / Phonon emission and absorption in the fractional quantum Hall effect. In: Physica B: Condensed Matter. 2001 ; Vol. 298, No. 1-4. pp. 164-168.
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abstract = "We investigate the time dependent thermal relaxation of a two-dimensional electron system (2DES) in the fractional quantum Hall regime, where ballistic phonons are used to heat up the system to a non-equilibrium temperature. The thermal relaxation of a 2DES at ν = 1/2 can be described in terms of a broad band emission of phonons, with a temperature dependence proportional to T4. In contrast, the relaxation at fractional filling ν = 2/3 is characterized by phonon emission around a single energy, the magneto-roton gap. This leads to a strongly reduced energy relaxation rate compared to ν = 1/2 with only a weak temperature dependence for temperatures 150 mK < T < 400 mK.",
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T1 - Phonon emission and absorption in the fractional quantum Hall effect

AU - Schulze-Wischeler, F.

AU - Zeitler, U.

AU - Monka, M.

AU - Hohls, F.

AU - Haug, R. J.

AU - Eberl, K.

N1 - Funding information: This work is supported by the Deutsche Forschungsgemeinschaf, Project no. ZE 463/3-1.

PY - 2001/4/1

Y1 - 2001/4/1

N2 - We investigate the time dependent thermal relaxation of a two-dimensional electron system (2DES) in the fractional quantum Hall regime, where ballistic phonons are used to heat up the system to a non-equilibrium temperature. The thermal relaxation of a 2DES at ν = 1/2 can be described in terms of a broad band emission of phonons, with a temperature dependence proportional to T4. In contrast, the relaxation at fractional filling ν = 2/3 is characterized by phonon emission around a single energy, the magneto-roton gap. This leads to a strongly reduced energy relaxation rate compared to ν = 1/2 with only a weak temperature dependence for temperatures 150 mK < T < 400 mK.

AB - We investigate the time dependent thermal relaxation of a two-dimensional electron system (2DES) in the fractional quantum Hall regime, where ballistic phonons are used to heat up the system to a non-equilibrium temperature. The thermal relaxation of a 2DES at ν = 1/2 can be described in terms of a broad band emission of phonons, with a temperature dependence proportional to T4. In contrast, the relaxation at fractional filling ν = 2/3 is characterized by phonon emission around a single energy, the magneto-roton gap. This leads to a strongly reduced energy relaxation rate compared to ν = 1/2 with only a weak temperature dependence for temperatures 150 mK < T < 400 mK.

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KW - Fractional quantum Hall effect

KW - Magneto-roton gap

KW - Phonons

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