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  • Hayne PRB 56 10446 1997

    Rights statement: © 1997 The American Physical Society

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Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field

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Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field. / Hayne, M ; Usher, Alan; Harris, Jeffery J et al.
In: Physical review B, Vol. 56, No. 16, 15.10.1997, p. 10446-10452.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hayne, M, Usher, A, Harris, JJ & Foxon, CT 1997, 'Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field', Physical review B, vol. 56, no. 16, pp. 10446-10452. https://doi.org/10.1103/PhysRevB.56.10446

APA

Hayne, M., Usher, A., Harris, J. J., & Foxon, C. T. (1997). Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field. Physical review B, 56(16), 10446-10452. https://doi.org/10.1103/PhysRevB.56.10446

Vancouver

Hayne M, Usher A, Harris JJ, Foxon CT. Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field. Physical review B. 1997 Oct 15;56(16):10446-10452. doi: 10.1103/PhysRevB.56.10446

Author

Hayne, M ; Usher, Alan ; Harris, Jeffery J et al. / Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field. In: Physical review B. 1997 ; Vol. 56, No. 16. pp. 10446-10452.

Bibtex

@article{63a421022a86409fbe1b563f5f0acf1d,
title = "Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field",
abstract = "We present experimental evidence for the levitation of extended slates of a two-dimensional electron system in a magnetic field, and establish the presence of alternating regions of localized and extended states in the density of states to Landau-level filling factors (nu) as high as 80. Monitoring the Hall voltage of a modulation-doped GaAs/AlxGa1-xAs heterojunction at fixed magnetic field during continuous illumination from light-emitting diodes reveals a steplike structure with plateaus at even integer nu between 22 and 80 at a temperature of 0.3 K. We derive a general expression for the conductivity due to rectangular bands of extended states, and show that the observed temperature dependence of the Shubnikov-de Haas oscillations is consistent with this picture. An analysis of the oscillations using this expression reveals the predicted levitation of the extended states.",
keywords = "FERMION EFFECTIVE-MASS, 2-DIMENSIONAL ELECTRONS, TRANSPORT-COEFFICIENTS, COMPOSITE FERMIONS, DELOCALIZED STATES, LANDAU-LEVELS, HALL REGIME, ENHANCEMENT, OSCILLATIONS, LEVITATION",
author = "M Hayne and Alan Usher and Harris, {Jeffery J} and Foxon, {C Tom}",
note = "{\textcopyright} 1997 The American Physical Society",
year = "1997",
month = oct,
day = "15",
doi = "10.1103/PhysRevB.56.10446",
language = "English",
volume = "56",
pages = "10446--10452",
journal = "Physical review B",
issn = "1550-235X",
publisher = "AMER PHYSICAL SOC",
number = "16",

}

RIS

TY - JOUR

T1 - Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field

AU - Hayne, M

AU - Usher, Alan

AU - Harris, Jeffery J

AU - Foxon, C Tom

N1 - © 1997 The American Physical Society

PY - 1997/10/15

Y1 - 1997/10/15

N2 - We present experimental evidence for the levitation of extended slates of a two-dimensional electron system in a magnetic field, and establish the presence of alternating regions of localized and extended states in the density of states to Landau-level filling factors (nu) as high as 80. Monitoring the Hall voltage of a modulation-doped GaAs/AlxGa1-xAs heterojunction at fixed magnetic field during continuous illumination from light-emitting diodes reveals a steplike structure with plateaus at even integer nu between 22 and 80 at a temperature of 0.3 K. We derive a general expression for the conductivity due to rectangular bands of extended states, and show that the observed temperature dependence of the Shubnikov-de Haas oscillations is consistent with this picture. An analysis of the oscillations using this expression reveals the predicted levitation of the extended states.

AB - We present experimental evidence for the levitation of extended slates of a two-dimensional electron system in a magnetic field, and establish the presence of alternating regions of localized and extended states in the density of states to Landau-level filling factors (nu) as high as 80. Monitoring the Hall voltage of a modulation-doped GaAs/AlxGa1-xAs heterojunction at fixed magnetic field during continuous illumination from light-emitting diodes reveals a steplike structure with plateaus at even integer nu between 22 and 80 at a temperature of 0.3 K. We derive a general expression for the conductivity due to rectangular bands of extended states, and show that the observed temperature dependence of the Shubnikov-de Haas oscillations is consistent with this picture. An analysis of the oscillations using this expression reveals the predicted levitation of the extended states.

KW - FERMION EFFECTIVE-MASS

KW - 2-DIMENSIONAL ELECTRONS

KW - TRANSPORT-COEFFICIENTS

KW - COMPOSITE FERMIONS

KW - DELOCALIZED STATES

KW - LANDAU-LEVELS

KW - HALL REGIME

KW - ENHANCEMENT

KW - OSCILLATIONS

KW - LEVITATION

U2 - 10.1103/PhysRevB.56.10446

DO - 10.1103/PhysRevB.56.10446

M3 - Journal article

VL - 56

SP - 10446

EP - 10452

JO - Physical review B

JF - Physical review B

SN - 1550-235X

IS - 16

ER -