### Abstract

We report the observation of a universal critical exponent in the fractional quantum Hall effect (FQHE) from a study of the temperature (T) dependent electron transport in between Landau level filling factors v = 2 5 and v = 1 3, over a T range from 1.2 K to 22 mK. in an AlGaAs-GaAs heterostructure. Specifically, the maximum value of dp_{xy} dB and the width of p_{xx} show the same power law dependence on T, i.e. ~T^{-K}. The critical exponent K=0.43 ± 0.02.This power law dependence is the same as that obtained in the integral quantum Hall effect (IQHE) [Wei et al., Phys. Rev. Lett. 61 (1988) 1294], in analogy to which our result indicates the existence of a divergent correlation length for the wavefunction of the quasi-particles in the FQHE for 1 3 < v < 2 5. The localization to delocalization transition can be characterized by a universal critical exponent, k, in both the IQHE and the FQHE.

Original language | English (US) |
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Pages (from-to) | 13-15 |

Number of pages | 3 |

Journal | Surface Science |

Volume | 229 |

Issue number | 1-3 |

DOIs | |

State | Published - Apr 2 1990 |

### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics
- Surfaces and Interfaces
- Surfaces, Coatings and Films
- Materials Chemistry

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## Cite this

*Surface Science*,

*229*(1-3), 13-15. https://doi.org/10.1016/0039-6028(90)90820-X