## Abstract

Activated dissipative conductivity σ_{xx} = σ*_{xx} exp(-Δ/T) and the activated deviation of the Hall conductivity from the precise quantization δσ_{xy} = σ_{xy}-ie^{2}/h = σ*_{xy} exp(-Δ/T) are studied in a plateau range of the quantum Hall effect. The prefactors σ*_{xx} and σ*_{xy} are calculated for the case of a long-range random potential in the framework of a classical theory. There is a range of temperatures T_{1}«T«T_{2} where σ*_{xy} = e^{2}/h. In this range σ*_{xy}≈(e^{2}/h)(T/T_{2}) ^{80/21}«σ*_{xx}. At large T»T_{2}, on the other hand, σ*_{xy} = e^{2}/h and σ*_{xx} = (e^{2}/h)(T_{2}/T)^{10/13}«σ* _{xy}. Similar results are valid for a fractional plateau near the filling factor p/q if charge e is replaced by e/q.

Original language | English (US) |
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Pages (from-to) | 255-260 |

Number of pages | 6 |

Journal | Surface Science |

Volume | 361-362 |

DOIs | |

State | Published - Jul 20 1996 |

### Bibliographical note

Funding Information:Useful discussions with I.L. Aleiner, V.I. Perel and I.M. R1;7~n are greatly appreciated. This work was supported by NSF under Grant No. DMR-9321417.

## Keywords

- Conductivity
- Hall effect