Quantum Hall effect breakdown: can the bootstrap heating and inter-Landau-level scattering models be reconciled?

Makarovsky, O.; Neumann, Alexander; Dickinson, L.; Eaves, L.; Main, P. C.; Henini, M.; Thoms, S.; Wilkinson, C.D.W.

doi:10.1016/s1386-9477(01)00270-3

Cited by 6 publications

(7 citation statements)

References 21 publications

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“…The gyrotropic theory, however, is distinct from them in its implications for the IV-characteristics. In small constrictions QUILLS type of behavior has been observed at one-micron dimensions [15,16], i.e. at similar length scales where we observe the gyrotropic behavior in our experiments.…”

Section: Inter-landau Level Zener Tunnelingsupporting

confidence: 85%

Breakdown of Zero-Energy Quantum Hall State in Graphene in the Light of Current Fluctuations and Shot Noise

et al. 2018

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We have investigated the cross-over from Zener tunneling of single charge carriers to avalanche type of bunched electron transport in a suspended graphene Corbino disk in the zeroth Landau level. At low bias, we find a tunneling current that follows the gyrotropic Zener tunneling behavior. At larger bias, we find avalanche type of transport that sets in at a smaller current the larger the magnetic field is. The low-frequency noise indicates strong bunching of the electrons in the avalanches. On the basis of the measured low-frequency switching noise power, we deduce the characteristic switching rates of the avalanche sequence. The simultaneous microwave shot noise measurement also reveals intrinsic correlations within the avalanche pulses and indicate decrease of correlations with increasing bias.

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Section: Inter-landau Level Zener Tunnelingsupporting

confidence: 85%

Breakdown of Zero-Energy Quantum Hall State in Graphene in the Light of Current Fluctuations and Shot Noise

et al. 2018

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“…Thus far, a number of experiments have been performed to test the validity of these two models. For example, the dependence of the threshold electric field on the constriction width has been addressed to confirm that both the QUILLS model [14] and the BSEH model [15] can account for several experimental results. Nevertheless, comprehensive understanding of QHEBD mechanisms has not yet been obtained [16].…”

Section: Introductionmentioning

confidence: 86%

“…Most experiments on QHEBD have been carried out using conventional conductance or resistance measurements in which the time-averaged data are investigated [4,[9][10][11][12][13][14][15][16][17][18]. On the other hand, recently, considerable interest has focused on current noise measurements, which allow electron conduction in the QHEBD state to be investigated in more detail [7,[19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Giant Fano factor and bistability in a Corbino disk in the quantum Hall effect breakdown regime

Hata

Arakawa

Chida

et al. 2016

J. Phys.: Condens. Matter

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We performed noise measurements for a Corbino disk in the quantum Hall effect breakdown regime. We investigated two Corbino-disk-type devices with different sizes and observed that the Fano factor increases when the length between the contacts doubles. This observation is consistent with the avalanche picture suggested by the bootstrap electron heating model. The temperature dependence of the Fano factor indicates that the avalanche effect becomes more prominent as temperature decreases. Moreover, in the highly nonlinear regime, negative differential resistance and temporal oscillation due to bistability are found. A possible interpretation of this result is that Zener tunneling of electrons between Landau levels occurs.

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“…However, models for breakdown generally predict values for E c that are typically at least an order of magnitude larger than experimental values, and depend on factors such as the inclusion of higher order tunneling processes, details of scattering (particularly the B-field dependence of the scattering rate), and Landau level broadening induced by the Hall electric field [51,53]. Others have also suggested a linear B dependence fit of compiled data appears to be at least as good as a B 3/2 dependence fit [64]. For our data, we do not find a power law dependence for even-or odd-filling factors if we examine I c /ν (data not shown).…”

Section: B-field Dependence Of Critical Breakdown Currentmentioning

confidence: 96%

Phase diagram of quantum Hall breakdown and nonlinear phenomena for InGaAs/InP quantum wells

Hilke

Poole

et al. 2018

Phys. Rev. B

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We investigate non-linear magneto-transport in a Hall bar device made from a strained In-GaAs/InP quantum well: a material system with attractive spintronic properties. From extensive maps of the longitudinal differential resistance (rxx) as a function of current and magnetic (B-) field phase diagrams are generated for quantum Hall breakdown in the strong quantum Hall regime reaching filling factor ν=1. By careful illumination the electron sheet density (n) is incremented in small steps and this provides insight into how the transport characteristics evolve with n. We explore in depth the energetics of integer quantum Hall breakdown and provide a simple picture for the principal features in the rxx maps. A simple tunneling model that captures a number of the characteristic features is introduced. Parameters such as critical Hall electric fields and the exchange-enhanced g-factors for odd-filling factors including ν=1 are extracted. A detailed examination is made of the B-field dependence of the critical current as determined by two different methods and compiled for different values of n. A simple rescaling procedure that allows the critical current data points obtained from rxx maxima for even-filling to collapse on to a single curve is demonstrated. Exchange-enhanced g-factors for odd-filling are extracted from the compiled data and are compared to those determined by conventional thermal activation measurements. The exchange-enhanced g-factor is found to increase with decreasing n.

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Quantum Hall effect breakdown: can the bootstrap heating and inter-Landau-level scattering models be reconciled?

Cited by 6 publications

References 21 publications

Breakdown of Zero-Energy Quantum Hall State in Graphene in the Light of Current Fluctuations and Shot Noise

Breakdown of Zero-Energy Quantum Hall State in Graphene in the Light of Current Fluctuations and Shot Noise

Giant Fano factor and bistability in a Corbino disk in the quantum Hall effect breakdown regime

Phase diagram of quantum Hall breakdown and nonlinear phenomena for InGaAs/InP quantum wells

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