Resistance oscillations induced by the Hall field in tilted magnetic fields

Hatke, A. T.; Zudov, M. A.; Pfeiffer, L. N.; West, K. W.

doi:10.1103/physrevb.83.081301

Cited by 55 publications

(108 citation statements)

References 98 publications

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“…In contrast to the HIRO experiments on 2DEG in high-mobility GaAs/AlGaAs quantum wells, which routinely exhibit multiple oscillations [21,27,29,38], the data in our 2DHG reveal only one HIRO maximum and are not of sufficient quality to perform systematic Dingle analysis. We can, however, obtain τ q from microwave photoresistance, as discussed below.…”

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confidence: 84%

Hall field-induced resistance oscillations in ap-type Ge/SiGe quantum well

2014

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We report on Hall field-induced resistance oscillations (HIRO) in a 60 nm-wide GaAs/AlGaAs quantum well with an in situ grown back gate, which allows tuning the carrier density n. At low n, when all electrons are confined to the lowest subband (SB1), the HIRO frequency, proportional to the product of the cyclotron diameter and the Hall field, scales with n −1/2 , as expected. Remarkably, population of the second subband (SB2) significantly enhances HIRO, while their frequency now scales as n −1. We demonstrate that in this two-subband regime HIRO still originate solely from backscattering of SB1 electrons. The unusual density dependence occurs because the population of SB2 steadily increases, while that of SB1 remains essentially unchanged. The enhancement of HIRO manifests an unexpected, step-like increase of the quantum lifetime of SB1 electrons, which reaches a record value of 52 ps in the two-subband regime. Continuous developments [1-8] in the molecular beam epitaxy and heterostructure design of 2D electron systems (2DES) have led to discoveries of a plethora of novel phenomena , especially in the field of low-temperature magnetotrans-port. Apart from the extremely rich quantum Hall physics in strong magnetic fields [9, 10], high-mobility 2DES display many prominent transport phenomena in low fields. Two salient examples of such phenomena are microwave-(MIRO) [11-16] and Hall field-induced resistance oscillations (HIRO) [17-26] which emerge when a 2DES is driven by microwave radiation and direct current, respectively. HIRO emerge due to elastic electron transitions between Landau levels, tilted by the Hall field, as a result of backscat-tering off short-range impurities [17, 27, 28]. The probability of these transitions is maximized each time the Hall voltage drop across the cyclotron diameter matches an integer multiple of the cyclotron energy. As a result, the differential re-sistivity acquires a 1/B-periodic correction δr which can be described by [27] δr/ρ 0 ≈ (16τ /πτ π)λ 2 cos(2πB 1 /B) , (1) where ρ 0 = m ⋆ /e 2 nτ is the resistivity at zero magnetic field B, m ⋆ ≈ 0.07m 0 is the effective mass, n is the electron density , λ = exp(−π/ω c τ q) is the Dingle factor, ω c = eB/m ⋆ is the cyclotron frequency, and τ, τ π , τ q are transport, backscat-tering, and quantum lifetimes, respectively [29]. The HIRO frequency (inverse period) B 1 is given by B 1 B ≡ eE(2R c) ω c ⇒ B 1 = 8π n m ⋆ e 2 j , (2) where E = Bj/ne is the Hall field and R c = √ 2πn/eB is the cyclotron radius. It is well known that in systems with several populated subbands, MIRO and HIRO often mix with magneto-intersubband oscillations (MISO) [30-36]. However, it is also important to examine how MIRO and HIRO are affected by the population of the second subband in the absence of such mixing. For example, capacitance measurements in a wide quantum well provided direct evidence of microwave-induced non-equilibrium redistribution of electrons between two subbands but no significant change in MIRO upon second subband population [37]. However, ...

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confidence: 84%

Hall field-induced resistance oscillations in ap-type Ge/SiGe quantum well

2014

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“…In the regime of intermediate microwave radiation frequency range, 1 ≪ ωτ ≪ ω c τ and strong magnetic field, the classical oscillations take the form It shows that the mechanism of suppression of SdHO strongly depends on the microwave radiation frequency. We see that high frequency MW can efficiently drive the system to [25,32,33]. This is also obvious from Fig.…”

Section: Resultssupporting

confidence: 55%

Radiation-assisted magnetotransport in two-dimensional electron gas systems: appearance of zero resistance states

Abdullah¹,

Sabeeh²

2015

J. Phys.: Condens. Matter

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Zero-resistance states (ZRS) are normally associated with superconducting and quantum Hall phases. Experimental detection of ZRS in two-dimensional electron gas (2DEG) systems irridiated by microwave(MW) radiation in a magnetic field has been quite a surprise. We develop a semiclassical transport formalism to explain the phenomena. We find a sequence of Zero-Resistance States (ZRS) inherited from the suppression of Shubnikov-de Haas (SdH) oscillations under the influence of high-frequency and large amplitude microwave radiation. Furthermore, the ZRS are well pronounced and persist up to broad intervals of magnetic field as observed in experiments on microwave illuminated 2DEG systems.

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“…This type of magnetoresistivity of magnetic stripe arrays in in-plane magnetic fields has been studied theoretically, 35 while to the best of our knowledge, experiments have been reported only in related configurations. 36 Numerical simulations based on the classical Kubo formalism (see below for details) give a weak, positive magnetoresistivity without fine structure, 30 as measured for |B y | 4 T. This indicates that the peak at B c is not an intrinsic classical property of the magnetic profile itself, and we tentatively attribute it to the frequently observed and still not fully understood negative colossal magnetoresistance in highmobility 2DEGs, [37][38][39] which is beyond our focus here, possibly in combination with other effects like weak localization. The strength of this feature depends on the cooldown cycle.…”

Section: Sample Preparation and Experimental Setupmentioning

confidence: 77%

Commensurability resonances in two-dimensional magnetoelectric lateral superlattices

et al. 2015

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Hybrid lateral superlattices composed of a square array of antidots and a periodic one-dimensional magnetic modulation are prepared in Ga [Al]As heterostructures. The two-dimensional electron gases exposed to these superlattices are characterized by magnetotransport experiments in vanishing average perpendicular magnetic fields. Despite the absence of closed orbits, the diagonal magnetoresistivity in the direction perpendicular to the magnetic modulation shows pronounced classical resonances. They are located at magnetic fields where snake trajectories exist which are quasi-commensurate with the antidot lattice. The diagonal magnetoresistivity in the direction of the magnetic modulation increases sharply above a threshold magnetic field and shows no fine structure. The experimental results are interpreted with the help of numerical simulations based on the semiclassical Kubo model. PACS numbers: 73.23.-b, 73.63.-b z , which allows a more direct comparison to the simulations. Even though the simulated function ρ xx (B max z ) deviates from the experimental trace in several aspects, the most prominent features are reproduced qualitatively, namely the positive magnetoresistivity around B max z = 0, minima close to B max z = 53 mT, 110 mT, 170 mT and 280 mT, the decrease of ρ xx at B max z ≈ 260 mT, and some weakly pronounced maxima and minima at larger magnetic fields. The sharp decrease of of ρ xx around B max z = 500 mT is not observed experimentally, most likely because our fringe fields are too weak. The simulation of ρ yy (B max z) is compared to the scaled experimental data in Fig. 3 (c). Very good agreement is found for B max z ≤ 0.3 T, while the strong increase of the resistivity around B max z ≈ 0.4 T is reproduced as well, though shifted to slightly higher magnetic fields. Further simulations 30 show that the presence of the antidots does influence ρ yy (B max z ) to some extent, but the overall behavior is dominated by the magnetic barriers and is not an effect of the hybrid superlattice.We proceed by interpreting the magnetoresistivity features in terms of the electron dynamics which determines the components of the magnetoconductivity tensor. 30 The off-diagonal elements σ xy and σ yx are approximately independent of B max z and of the order of 0.1 mS. σ yy decreases from 18 mS at B max z = 0 to almost zero at B max z ≈ 0.5 T. Only σ xx shows resonances as B max z is changed. This implies that ρ xx ≈ 1/σ xx and ρ yy ≈ 1/σ yy , while ρ xy (B y ) ≈ σ xy /(σ xx σ yy ). The sharp increase of ρ xy (see Ref. 30) and ρ yy at B max z = 0.5 T has thus its origin in the strongly suppressed diagonal conductivity in y-direction.FIG. 4. (color online). Poincaré sections for various values of B max z (a-e). Some characteristic trajectories are shown in (f), the initial conditions of which are indicated by full circles in the corresponding Poincaré sections.

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Resistance oscillations induced by the Hall field in tilted magnetic fields

Cited by 55 publications

References 98 publications

Hall field-induced resistance oscillations in ap-type Ge/SiGe quantum well

Hall field-induced resistance oscillations in ap-type Ge/SiGe quantum well

Radiation-assisted magnetotransport in two-dimensional electron gas systems: appearance of zero resistance states

Commensurability resonances in two-dimensional magnetoelectric lateral superlattices

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