2008/05/31 by Akira Endo, Yasuhiro Iye · 2 citations
Materials Science · Physics and Astronomy · #Magnetic properties of thin films #Quasicrystal Structures and Properties #Theoretical and Computational Physics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.78.085311
published as Phys. Rev. B 78, 085311 (2008) · 11 pages, 10 figures, added references in Introduction, minor revisions
openalex publication_date 2008/08/20 · arxiv created 2008/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Magnetotransport measurements have been performed on Fibonacci lateral superlattices---two-dimensional electron gases subjected to a weak potential modulation arranged in the Fibonacci sequence LSLLSLS… with L/S=\ensuremathτ (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.