Negative differential magnetoresistance and commensurability oscillations of two-dimensional electrons in a disordered array of antidots

Gusev, G. M.; Basmaji, P.; Kvon, Z.D.; Litvin, L. V.; Toropov, A. I.; Nastaushev, Yu. V.

doi:10.1088/0953-8984/6/1/009

Cited by 35 publications

(25 citation statements)

References 15 publications

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“…3͒. We attribute this effect to the negative MR, which was first observed in a random antidot lattice in a perpendicular magnetic field, 20 and has been calculated recently in Ref. 21.…”

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confidence: 54%

Quasiclassical negative magnetoresistance of a two-dimensional electron gas in a random magnetic field

et al. 2001

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We have studied negative magnetoresistance of a nonplanar two-dimensional electron gas. Effectively due to the curved AlGaAs/GaAs interface, electrons see a uniform in-plane magnetic field B as a random magnetic field ͑RMF͒. Small additional perpendicular B leads to a negative magnetoresistance predicted by a semiclassical treatment of the RMF problem beyond the relaxation-time approximation, in accordance with our observations.

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“…3͒. We attribute this effect to the negative MR, which was first observed in a random antidot lattice in a perpendicular magnetic field, 20 and has been calculated recently in Ref. 21.…”

supporting

confidence: 54%

Quasiclassical negative magnetoresistance of a two-dimensional electron gas in a random magnetic field

et al. 2001

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“…(7), (8), which yields Eq. (19). Thus, the fraction of trajectories that are delocalized due to collisions with ADs is evaluated by integration (20) which gives merely an additional logarithmic factor.…”

Section: Finite Density Of Antidotsmentioning

confidence: 99%

Quasiclassical magnetotransport in a random array of antidots

et al. 2001

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We study theoretically the magnetoresistance ρxx(B) of a two-dimensional electron gas scattered by a random ensemble of impenetrable discs in the presence of a long-range correlated random potential. We believe that this model describes a high-mobility semiconductor heterostructure with a random array of antidots. We show that the interplay of scattering by the two types of disorder generates new behavior of ρxx(B) which is absent for only one kind of disorder. We demonstrate that even a weak long-range disorder becomes important with increasing B. In particular, although ρxx(B) vanishes in the limit of large B when only one type of disorder is present, we show that it keeps growing with increasing B in the antidot array in the presence of smooth disorder. The reversal of the behavior of ρxx(B) is due to a mutual destruction of the quasiclassical localization induced by a strong magnetic field: specifically, the adiabatic localization in the long-range Gaussian disorder is washed out by the scattering on hard discs, whereas the adiabatic drift and related percolation of cyclotron orbits destroys the localization in the dilute system of hard discs. For intermediate magnetic fields in a dilute antidot array, we show the existence of a strong negative magnetoresistance, which leads to a nonmonotonic dependence of ρxx(B).

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“…, where r c is the cyclotron radius and a is the period of the antidot array. 1 Since then, this phenomenon has been widely observed in square antidot arrays 2-15 with various lengths of the period (aϭ200 nm ϳ2 m͒, various diameters of an antidot (dϭ100 nm ϳ700 nm͒, and various geometrical modulations ͑triangular, [16][17][18][19][20][21][22][23] rectangular, 24,25,18,[21][22][23] recursively structured, 16,26 and disordered antidot arrays 27,28,19,29,23 ͒.…”

Section: Introductionmentioning

confidence: 99%

Detailed analysis of the commensurability peak in antidot arrays with various periods

Ishizaka

Ando

1997

Phys. Rev. B

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Commensurability peaks in square antidot arrays with various array periods are studied. We calculate the conductivity tensor under classical mechanics varying the period in a systematic manner. The structure and its magnetic-field position of conductivities change significantly depending on the period and peak indexes. These characteristics are analyzed by a model where the chaotic motion is regarded as hopping between antidots. It is shown that the characteristics can be explained by the magnetic-field lowering of the peak position of forward scattering components and broken symmetry between left-turning and right-turning components.

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Negative differential magnetoresistance and commensurability oscillations of two-dimensional electrons in a disordered array of antidots

Cited by 35 publications

References 15 publications

Quasiclassical negative magnetoresistance of a two-dimensional electron gas in a random magnetic field

Quasiclassical negative magnetoresistance of a two-dimensional electron gas in a random magnetic field

Quasiclassical magnetotransport in a random array of antidots

Detailed analysis of the commensurability peak in antidot arrays with various periods

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