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We have simulated conduction in a two-dimensional electron gas subject to a weak two-dimensional periodic potential, $V_x \cos(2\pi x/a) + V_y \cos(2\pi y/a)$. The usual commensurability oscillations in $\rho_{xx}(B)$ are seen with $V_x$…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 David E. Grant , Andrew R. Long , John H. Davies

Hybrid lateral superlattices composed of a square array of antidots and a periodic one-dimensional magnetic modulation are prepared in $\mathrm{Ga[Al]As}$ heterostructures. The two-dimensional electron gases exposed to these superlattices…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 J. Schluck , S. Fasbender , T. Heinzel , K. Pierz , H. W. Schumacher , D. Kazazis , U. Gennser

We report on a theoretical study of the commensurability oscillations in a quasi-two-dimensional electron gas modulated by a unidirectional periodic potential and subjected to tilted magnetic fields with a strong in-plane component. As a…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Ludvik Smrcka

Commensurability oscillations in the magnetoresistivity of a two-dimensional electron gas in a two-dimensional lateral superlattice are studied in the framework of quasiclassical transport theory. It is assumed that the impurity scattering…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. D. Mirlin , E. Tsitsishvili , P. Woelfle

We have measured the rf magnetoconductivity of unidirectional lateral superlattices (ULSLs) by detecting the attenuation of microwave through a coplanar waveguide placed on the surface. ULSL samples with the principal axis of the modulation…

Mesoscale and Nanoscale Physics · Physics 2013-04-16 Akira Endo , Toshiyuki Kajioka , Yasuhiro Iye

We present calculations on the magnetocapacitance of the two-dimensional electron gas in a lateral semiconductor superlattice under two-dimensional weak periodic potential modulation in the presence of a perpendicular magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. S. Kliros , P. C. Divari

On the basis of Boltzmann's equation, and including anisotropic scattering in the collision operator, we investigate the effect of one-dimensional superlattices on two-dimensional electron systems. In addition to superlattices defined by…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Rolf Menne , Rolf R. Gerhardts

Magnetotransport measurements in combination with molecular dynamics (MD) simulations on two-dimensional disordered Lorentz gases in the classical regime are reported. In quantitative agreement between experiment and simulation, the…

Disordered Systems and Neural Networks · Physics 2018-02-07 N. H. Siboni , J. Schluck , K. Pierz , H. W. Schumacher , D. Kazazis , J. Horbach , T. Heinzel

The linear response theory is used to describe magnetoresistance oscillations of short-period unilateral superlattices with strong modulation (or alternatively arrays of coupled quantum wires). The semiclassical description of this system…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Karel Vyborny , Ludvik Smrcka , Rainer A. Deutschmann

We have observed commensurability oscillations (CO) in the Hall resistance $R_{yx}$ of a unidirectional lateral superlattice (ULSL). The CO, having small amplitudes ($\sim$ 1 $\Omega$) and being superposed on a roughly three-orders of…

Mesoscale and Nanoscale Physics · Physics 2021-06-08 Akira Endo , Shingo Katsumoto , Yasuhiro Iye

Magnetotransport measurements have been performed on Fibonacci lateral superlattices (FLSLs) -- two-dimensional electron gases subjected to a weak potential modulation arranged in the Fibonacci sequence, LSLLSLS..., with L/S=tau (the golden…

Mesoscale and Nanoscale Physics · Physics 2008-08-21 Akira Endo , Yasuhiro Iye

In half-filled high Landau levels, two-dimensional electron systems possess collective phases which exhibit a strongly anisotropic resistivity tensor. A weak, but as yet unknown, rotational symmetry-breaking potential native to the host…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Several optical experiments have shown that in magnetic materials the principal axes of response tensors can rotate in a magnetic field. Here we offer a microscopic explanation of this effect, and propose a closely related DC transport…

Mesoscale and Nanoscale Physics · Physics 2025-11-21 Veronika Sunko , Chunxiao Liu , Marc Vila , Ilyoun Na , Yuchen Tang , Vladyslav Kozii , Sinéad M. Griffin , Joel E. Moore , Joseph Orenstein

An analytical study of the low-field magnetoresistance of a two-dimensional electron gas subject to a weak periodic modulation is presented. We assume small-angle impurity scattering characteristic for high-mobility semiconductor…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. D. Mirlin , E. Tsitsishvili , P. Woelfle

We study the geometric and physical effects of quadrupolar configurations of disclinations using a conformal metric approach in $(2+1)$ dimensions. Two cases are considered: a linear quadrupole, inducing anisotropic curvature with a…

General Relativity and Quantum Cosmology · Physics 2025-05-01 A. M. de M. Carvalho , G. Q. Garcia , C. Furtado

We have uncovered a new class of small amplitude magnetoresistance oscillation in unidirectional lateral superlattice (ULSL). The oscillation is observed in a low-field regime, typically |B| =< 0.03 T, as small undulation on top of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Akira Endo , Yasuhiro Iye

We show in the case of a superconducting Nb ladder that a mesoscopic superconductor typically exhibits magnetoresistance oscillations whose amplitude and temperature dependence are different from those stemming from the Little-Parks effect.…

Superconductivity · Physics 2015-06-05 G. R. Berdiyorov , M. V. Milošević , M. L. Latimer , Z. L. Xiao , W. K. Kwok , F. M. Peeters

We use lithographically induced strain relaxation to periodically modulate the magnetic anisotropy in a single (Ga,Mn)As layer. This results in a lateral magnetoresistance device where two non-volatile magnetic states exist at zero external…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 R. G. Dengel , C. Gould , J. Wenisch , K. Brunner , G. Schmidt , L. W. Molenkamp

The conductivity of a two-dimensional electron gas in a parallel magnetic field is calculated. We take into account the magnetic field induced spin-splitting, which changes the density of states, the Fermi momentum and the screening…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. T. Dolgopolov , A. Gold

We calculate the magnetoconductivity tensor of a 2D electron gas in a 1D periodic potential and quantising magnetic fields. We study the internal structure of the Shubnikov-de Haas peaks and analyse recent experimental results. The…

Condensed Matter · Physics 2007-05-23 Andrei Manolescu , Rolf R. Gerhardts
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