### Abstract

The magnetoconductivity σ(B) in the two-dimensional (2D) nondegenerate electron fluid and 2D solid has been analyzed theoretically and investigated experimentally, from 60 mK to 1.3 K in magnetic fields B up to 8 Tesla. In the fluid phase, σ(B) is described by the Drude model in weak to moderately strong classical fields, including the range μB » 1. At higher fields (depending on the density) σ(B) is nonmonotonous and displays a minimum. This behavior is due to many-electron effects, which can be described in terms of cyclotron orbit diffusion controlled by an internal fluctuational electric field. The squared internal field derived from experiments is in good agreement with computer simulations. In the solid phase electron transport becomes strongly non-linear even for weak driving voltages V_{0}. Experimentally we determine, from the losses, the effective AC Corbino conductivity at a frequency f. We find that σ(B) ∝ fV_{0}/B for V_{0} below some threshold voltage V_{c}. In this region the Hall velocity v_{H} approaches the ripplon phase velocity v_{1} = w(G_{1})/G_{1} at the first reciprocal lattice vector G_{1} of the electron solid. We suggest that this behaviour is due to to a resonant drag force from the Bragg-Cerenkov radiation of coherent ripplons by the moving crystal.

Original language | English |
---|---|

Pages (from-to) | 3056-3062 |

Number of pages | 7 |

Journal | Czechoslovak Journal of Physics |

Volume | 46 |

Issue number | SUPPL. 6 |

DOIs | |

Publication status | Published - 1996 Dec 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Czechoslovak Journal of Physics*,

*46*(SUPPL. 6), 3056-3062. https://doi.org/10.1007/BF02548110

**Magnetotransport of 2D electrons on liquid helium in the fluid and solid phases.** / Blackburn, A.; Djerfi, K.; Dykman, M. I.; Fang-Yen, Christopher; Fozooni, P.; Kristensen, A.; Lea, M. J.; Richardson, P. J.; Santrich-Badal, A.; van der Heijden, R. W.

Research output: Contribution to journal › Article

*Czechoslovak Journal of Physics*, vol. 46, no. SUPPL. 6, pp. 3056-3062. https://doi.org/10.1007/BF02548110

}

TY - JOUR

T1 - Magnetotransport of 2D electrons on liquid helium in the fluid and solid phases

AU - Blackburn, A.

AU - Djerfi, K.

AU - Dykman, M. I.

AU - Fang-Yen, Christopher

AU - Fozooni, P.

AU - Kristensen, A.

AU - Lea, M. J.

AU - Richardson, P. J.

AU - Santrich-Badal, A.

AU - van der Heijden, R. W.

PY - 1996/12/1

Y1 - 1996/12/1

N2 - The magnetoconductivity σ(B) in the two-dimensional (2D) nondegenerate electron fluid and 2D solid has been analyzed theoretically and investigated experimentally, from 60 mK to 1.3 K in magnetic fields B up to 8 Tesla. In the fluid phase, σ(B) is described by the Drude model in weak to moderately strong classical fields, including the range μB » 1. At higher fields (depending on the density) σ(B) is nonmonotonous and displays a minimum. This behavior is due to many-electron effects, which can be described in terms of cyclotron orbit diffusion controlled by an internal fluctuational electric field. The squared internal field derived from experiments is in good agreement with computer simulations. In the solid phase electron transport becomes strongly non-linear even for weak driving voltages V0. Experimentally we determine, from the losses, the effective AC Corbino conductivity at a frequency f. We find that σ(B) ∝ fV0/B for V0 below some threshold voltage Vc. In this region the Hall velocity vH approaches the ripplon phase velocity v1 = w(G1)/G1 at the first reciprocal lattice vector G1 of the electron solid. We suggest that this behaviour is due to to a resonant drag force from the Bragg-Cerenkov radiation of coherent ripplons by the moving crystal.

AB - The magnetoconductivity σ(B) in the two-dimensional (2D) nondegenerate electron fluid and 2D solid has been analyzed theoretically and investigated experimentally, from 60 mK to 1.3 K in magnetic fields B up to 8 Tesla. In the fluid phase, σ(B) is described by the Drude model in weak to moderately strong classical fields, including the range μB » 1. At higher fields (depending on the density) σ(B) is nonmonotonous and displays a minimum. This behavior is due to many-electron effects, which can be described in terms of cyclotron orbit diffusion controlled by an internal fluctuational electric field. The squared internal field derived from experiments is in good agreement with computer simulations. In the solid phase electron transport becomes strongly non-linear even for weak driving voltages V0. Experimentally we determine, from the losses, the effective AC Corbino conductivity at a frequency f. We find that σ(B) ∝ fV0/B for V0 below some threshold voltage Vc. In this region the Hall velocity vH approaches the ripplon phase velocity v1 = w(G1)/G1 at the first reciprocal lattice vector G1 of the electron solid. We suggest that this behaviour is due to to a resonant drag force from the Bragg-Cerenkov radiation of coherent ripplons by the moving crystal.

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U2 - 10.1007/BF02548110

DO - 10.1007/BF02548110

M3 - Article

AN - SCOPUS:1542551924

VL - 46

SP - 3056

EP - 3062

JO - Czechoslovak Journal of Physics

JF - Czechoslovak Journal of Physics

SN - 0011-4626

IS - SUPPL. 6

ER -