Fourier analyses of commensurability oscillations in Fibonacci lateral superlattices

Abstract

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 ratio). Complicated commensurability oscillation (CO) is observed, which can be accounted for as a superposition of a series of COs each arising from a sinusoidal modulation representing the characteristic length scale of one of the self-similar generations in the Fibonacci sequence. Individual CO components can be separated out from the magnetoresistance trace by performing a numerical Fourier band-pass filter. From the analysis of the amplitude of a single-component CO thus extracted, the magnitude of the corresponding Fourier component in the potential modulation can be evaluated. By examining all the Fourier contents observed in the magnetoresistance trace, the profile of the modulated potential seen by the electrons can be reconstructed with some remaining ambiguity about the interrelation of the phase between different components.

arXiv comment11 pages, 10 figures, added references in Introduction, minor revisions

References in corpus (5)

• Weiss oscillations in the presence of small-angle impurity scattering
• Harmonic Content of Strain-induced Potential Modulation in Unidirectional Lateral Superlattices
• New class of small amplitude low-field magnetoresistance oscillation in unidirectional lateral superlattice: Geometric resonance of Bragg-reflected cyclotron orbit
• Anisotropic transport in unidirectional lateral superlattice around half-filling of the second Landau level
• Dependence of Modulation Amplitude on Electron Density in Unidirectional Lateral Superlattices: The Effect of the Thickness of the Two-dimensional Electron Gas

Cited by in corpus (5)

• Geometric resonances in the magnetoresistance of hexagonal lateral superlattices
• Effect of Landau quantization on linear magnetoresistance of periodically modulated two-dimensional electron gas
• Nonlocality, Correlations, and Magnetotransport in a Spatially Modulated Two-Dimensional Electron Gas
• Multifractal analysis of the electronic states in the Fibonacci superlattice under weak electric fields
• Effect of Oscillating Landau Bandwidth on the Integer Quantum Hall Effect in a Unidirectional Lateral Superlattice