1996
DOI: 10.1103/physrevb.53.r7599
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Shubnikov-de Haas oscillations in a two-dimensional electron gas in a spatially random magnetic field

Abstract: We report measurements of transport in a two-dimensional electron gas in a spatially random magnetic field in which the average magnetic field extends from the classical regime ͗ c ͘Ͻ1 into the quantum Hall regime.Experiments make use of a rough Nd-Fe-B permanent magnet on the surface of a GaAs heterostructure. Effective mass, transport and total scattering times, and g-factor-enhancement values ͑all measured from Shubnikov-de Haas oscillations͒ are comparable to those found for potential scattering in a unifo… Show more

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Cited by 31 publications
(19 citation statements)
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“…1,2 This 2DEG can be laterally confined and patterned to achieve new functionalities such as oxide-based field-effect transistors. 3,4 In view of the remarkable phenomena observed in the conventional 2DEG under a magnetic field, including the Shubnikov-de Hass (SdH) effect, 5,6 and the spin and charge Hall effect 7 in the presence of spin-orbit interactions (SOI), 8,9 it is timely to consider the properties of oxide-based 2DEGs in a magnetic field. Generally, the relatively large effective mass m * together with a high carrier concentration N e at the oxide interfaces (for instance, m * /m e ≈ 3.2, with m e being the free electron mass and N e ≈ (5-9) × 10 13 cm −2 at the LaAlO 3 /SrTiO 3 interface 10 ) imply a strong magnetic field for the SdH oscillation and for the quantized Hall conductance to be observable.…”
Section: Introductionmentioning
confidence: 99%
“…1,2 This 2DEG can be laterally confined and patterned to achieve new functionalities such as oxide-based field-effect transistors. 3,4 In view of the remarkable phenomena observed in the conventional 2DEG under a magnetic field, including the Shubnikov-de Hass (SdH) effect, 5,6 and the spin and charge Hall effect 7 in the presence of spin-orbit interactions (SOI), 8,9 it is timely to consider the properties of oxide-based 2DEGs in a magnetic field. Generally, the relatively large effective mass m * together with a high carrier concentration N e at the oxide interfaces (for instance, m * /m e ≈ 3.2, with m e being the free electron mass and N e ≈ (5-9) × 10 13 cm −2 at the LaAlO 3 /SrTiO 3 interface 10 ) imply a strong magnetic field for the SdH oscillation and for the quantized Hall conductance to be observable.…”
Section: Introductionmentioning
confidence: 99%
“…This oscillation is the well-known Shubnikov-de-Haas effect. The difference in the extrema of the oscillations as a function of magnetic field decays exponentially as the field is decreased 19,20 . The cyclotron frequency can be obtained by observing the characteristic energy scale with which this decay occurs.…”
Section: Discussionmentioning
confidence: 99%
“…ω c = eB tot /m * denotes the cyclotron frequency and m * the effective electron mass. 27 Figure 11 demonstrates the Dingle plots for the flat sample (a) and for the curved samples (b) and (c). These graphs present the function ln( ρ extr /[4ρ xx (0)f ]) plotted versus 1/B.…”
Section: B Phase Cancellation Of the Sdh Oscillationsmentioning
confidence: 97%