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Tsukagoshi, Kazuhito; Wakayama, S.; Oto, K.; Takaoka, S.; Murase, K.; Gamo, Kenji

doi:10.1103/physrevb.52.8344

Cited by 49 publications

(28 citation statements)

References 18 publications

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“…We emphasize that this phenomenology is observed in all our GB lattices. This anisotropy somewhat resembles that one reported by Tsukagoshi et al 33 , who measured rectangular antidot lattices with uni-directional, Gaussian disorder and observed a damping of the commensurability oscillations as well as a shift to smaller magnetic fields for the current perpendicular to the disorder direction. In analogy to this behavior, one is tempted to conclude that in the GB lattice, the disorder perpendicular to the GBs is greater than parallel to them.…”

supporting

confidence: 88%

Magnetoresistance of antidot lattices with grain boundaries

Klinkhammer

Heinzel

et al. 2008

Phys. Rev. B

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The magnetotransport properties of antidot lattices containing artificially designed grain boundaries have been measured. We find that the grain boundaries broaden the commensurability resonances and displace them anisotropically. These phenomena are unexpectedly weak but differ characteristically from isotropic, Gaussian disorder in the antidot positions. The observations are interpreted in terms of semiclassical trajectories which tend to localize along the grain boundaries within certain magnetic field intervals. Furthermore, our results indicate how the transport through superlattices generated by self-organizing templates may get influenced by grain boundaries.

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supporting

confidence: 88%

Magnetoresistance of antidot lattices with grain boundaries

Klinkhammer

Heinzel

et al. 2008

Phys. Rev. B

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“…(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. One sees that the characteristic ξ (nR c ) −1 are within the limits of applicability of the derivation ξ ≪ R c (trajectories with larger ξ give rise to a percolative contribution to ρ xx considered in Sec.…”

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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“…This leads to an increase of the phase-space volume of the orbits contributing to the increase of the diffusion coefficient at 2R c ≈ a. This magnetic focusing is different from mechanisms suggested in other works [25,27,31].…”

Section: Commensurability Peakscontrasting

confidence: 55%

“…The importance of the "runaway" orbit, which skips regularly from an antidot to its neighboring antidot in the same direction was also proposed [22]. Experiments on rectangular and/or disordered antidots [23][24][25][26][27] and numerical simulations [27][28][29] provided pieces of evidences showing the importance of such orbits.…”

Section: Commensurability Peaksmentioning

confidence: 99%

Theory of quantum transport in mesoscopic systems: antidot lattices

Ando¹,

Uryu²,

Nakanishi³

et al.

Physics and Applications of Semiconductor Quantum Structures

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A review of magnetotransport in antidot lattices mainly from a theoretical point of view is given. The topics include various mechanisms proposed for the explanation of the origin of the commensurability peaks such as pinned orbits, runaway orbits, and diffusive orbits combined with a magnetic focusing effect. Roles of quantum effects and antidot disorder, the difference between square and triangular lattices, and localization effects are also discussed.

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Magnetotransport through disordered and anisotropic antidot lattices in GaAs/AlxGa1

Cited by 49 publications

References 18 publications

Magnetoresistance of antidot lattices with grain boundaries

Magnetoresistance of antidot lattices with grain boundaries

Quasiclassical magnetotransport in a random array of antidots

Theory of quantum transport in mesoscopic systems: antidot lattices

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