Sawtoothlike de Haas–van Alphen oscillations of a two-dimensional electron system

Schwarz, M. P.; Wilde, M. A.; Groth, S.; Grundler, D.; Heyn, Ch.; Heitmann, D.

doi:10.1103/physrevb.65.245315

Cited by 61 publications

(71 citation statements)

References 30 publications

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“…The value of the intercept then indicates the filling factor at which there would be no mobility gap between LLs even at T = 0, i.e., it is related to the width of the LLs. Similar results have been obtained for even from equilibrium magnetization measurements 22 and, for odd , by transport measurements 23 by other authors. The fact that this intercept is the same for both odd and even filling factors is surprising but has been shown in all the samples for which sufficient filling factors to plot data as in Fig.…”

Section: A G-factorssupporting

confidence: 78%

Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents

et al. 2004

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We have developed a model of the high-current breakdown of the integer quantum Hall effect, as measured in contactless experiments using a highly-sensitive torsion balance magnetometer. The model predicts that, for empirically "low-mobility" samples ͑ Ͻ 75 m 2 V −1 s −1 ͒, the critical current for breakdown should decrease with, and have a linear dependence on, temperature. This prediction is verified experimentally with the addition of a low-temperature saturation of the critical current at a temperature that depends on both sample number density and filling factor. It is shown that this saturation is consistent with quasielastic inter-Landau-level scattering when the maximum electric field in the sample reaches a large enough value. In addition we show how this model can be extended to give qualitative agreement with experiments on high-mobility samples.

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Section: A G-factorssupporting

confidence: 78%

Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents

et al. 2004

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“…14,16 Only in the region nearing ϭ4 there is, scarcely visible in Fig. 2, a kink followed by a sharp step, whose finite width is related to this small, extra DOS.…”

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confidence: 99%

“…Although the steps are rather sharp, even at 1.2 K they still have a small, finite width indicating a finite density of states ͑DOS͒ in between Landau levels. 14,16 Apart from the clear steps assigned to the Landau gap at even integer filling factors, at 1.2 K ͓Fig. 1͑b͔͒ additional features appear at odd integer filling factors.…”

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confidence: 99%

Magnetization of a two-dimensional electron gas with a second filled subband

et al. 2003

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We have measured the magnetization of a dual-subband two-dimensional electron gas, confined in a GaAs/ AlGaAs heterojunction. In contrast to two-dimensional electron gases with a single subband, we observe non-1/B-periodic, triangularly shaped oscillations of the magnetization with an amplitude significantly less than 1 B * per electron. All three effects are explained by a field-dependent self-consistent model, demonstrating that the shape of the magnetization is dominated by oscillations in the confining potential. Additionally, at 1 K, we observe small oscillations at magnetic fields where Landau levels of the two different subbands cross. When an extra degree of freedom is added to a twodimensional electron gas ͑2DEG͒, many-body interactions can lead to the formation of novel electronic grounds state at the crossings of the different energy levels in the system.

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“…For instance, Meinel et al [2][3][4] developed dc superconducting quantum interference device magnetometers to study the dHvA oscillations in high-mobility semiconductor 2DEG. Schwarz et al [5][6][7] studied the dHvA oscillations by using micromechanical cantilever magnetometers. Besides the purely orbital part, prominently, the influence [8] of the weak Rashba spin-orbit interaction (SOI) on the dHvA oscillations in the magnetization of the semiconductor 2DEG can also be effectively determined in experiment [9], which therefore opens a new door to measurement of the spintronic parameters in semiconductor heterostructures.…”

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confidence: 99%

Magnetic quantum oscillations for the surface states of topological insulatorBi2Se3

Wang

et al. 2010

Phys. Rev. B

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We study quantum oscillations of the magnetization in Bi 2 Se 3 (111) surface system in the presence of a perpendicular magnetic field. The combined spin-chiral Dirac cone and Landau quantization produce profound effects on the magnetization properties that are fundamentally different from those in the conventional semiconductor two-dimensional electron gas. In particular, we show that the oscillating center in the magnetization chooses to pick up positive or negative values depending on whether the zero-mode Landau level is occupied or empty. An intuitive analysis of these new features is given and the subsequent effects on the magnetic susceptibility and Hall conductance are also discussed.

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Sawtoothlike de Haas–van Alphen oscillations of a two-dimensional electron system

Cited by 61 publications

References 30 publications

Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents

Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents

Magnetization of a two-dimensional electron gas with a second filled subband

Magnetic quantum oscillations for the surface states of topological insulatorBi2Se3

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