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

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

2003-08-26

arxiv.org/abs/cond-mat/0308535v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

accepted for publication in PRB

Scientific paper

10.1103/PhysRevB.69.035308

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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