We study the effect of the electron-electron interaction on the amplitude of mesoscopic Aharonov-Bohm oscillations in quasi-one-dimensional (Q1D) diffusive rings. We show that the dephasing length L_φAB governing the damping factor exp(-2πR/L_φAB) of the oscillations is parametrically different from the common dephasing length for the Q1D geometry. This is due to the fact that the dephasing is governed by energy transfers determined by the ring circumference 2πR, making L_φAB R-dependent.
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Ludwig et al. (2004) studied this question.
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