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Statistical significance of fine structure in the frequency spectrum of Aharonov-Bohm conductance oscillations

F. E. Meijer·A. F. Morpurgo·T. M. Klapwijk·J. Nitta·T. Koga
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Abstract

We discuss a statistical analysis of Aharonov-Bohm conductance oscillations measured in a two-dimensional ring, in the presence of Rashba spin-orbit interaction. Measurements performed at different values of gate voltage are used to calculate the ensemble-averaged modulus of the Fourier spectrum and, at each frequency, the standard deviation associated to the average. This allows us to prove the statistical significance of a splitting that we observe in the h/e peak of the averaged spectrum. Our work illustrates in detail the role of sample specific effects on the frequency spectrum of Aharonov-Bohm conductance oscillations and it demonstrates how fine structures of a different physical origin can be discriminated from sample specific features.

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F. E. Meijer, A. F. Morpurgo, T. M. Klapwijk, J. Nitta, T. Koga. 2003-10-31. Statistical significance of fine structure in the frequency spectrum of Aharonov-Bohm conductance oscillations. https://doi.org/10.1103/physrevb.69.035308

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