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

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.

arXiv commentaccepted for publication in PRB

References in corpus (5)

• Quantum Transport in Semiconductor Nanostructures
• Aharonov-Bohm Oscillations with Spin: Evidence for Berry's Phase
• Nonadiabatic noncyclic geometric phase and ensemble average spectrum of conductance in disordered mesoscopic rings with spin-orbit coupling
• Conductance fluctuations in diffusive rings: Berry phase effects and criteria for adiabaticity
• The effect of the spin-orbit geometric phase on the spectrum of Aharonov-Bohm oscillations in a semiconductor mesoscopic ring

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• Beating of Aharonov-Bohm oscillations in a closed-loop interferometer
• Aharonov-Bohm rings with strong spin-orbit interaction: the role of sample-specific properties
• Theory of spin polarization in mesoscopic spin-orbit coupling systems
• Geometric phases and Andreev reflection in hybrid rings
• Anisotropic profiles in the spin polarization of multichannel semiconductor rings with Rashba spin orbit coupling
• Dephasing measurements in InGaAs/AlInAs heterostructures: manifestations of spin-orbit and Zeeman interactions