Fourier analyses of commensurability oscillations in Fibonacci lateral superlattices
Akira Endo and Yasuhiro Iye
Phys. Rev. B 78 085311 (2008)
Modify
Magnetotransport measurements have been performed on Fibonacci lateral superlatticesĄ˝two-dimensional
electron gases subjected to a weak potential modulation arranged in the Fibonacci sequence LSLLSLS. . . with
L/S=tau (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.