I'm having difficulties understanding the role of scattering on phase coherence in the Aharonov Bohm Effect. In particular I am trying to reconcile the following points: Inelastic scattering destroys phase coherence and prevents us to see the Aharonov Bohm Effect. Elastic scattering does not, but the phase difference will depend on the exact impurity locations. Averaging over different mesoscopic samples does not destroy all phase coherence effects. Time-reversed trajectories cause weak localization effect and oscillations in conductance with respect to magnetic field. This effect can bee seen if we align mesoscopic rings in parallel (cylinder). Conductance oscillations are not observed in macroscopic samples. Question: What happens if I take a MACROscopic ring and cool it down until unelastic scattering becomes neglegible but I still have ring size much larger than mean free path between elastic scattering sites? Will I see the Aharonov Bohm Effect? Since I think I'm seeing some contradiction here, I believe point 2 is somehow wrong and then the answer to my question would be NO. However I'm quite confused and would appreciate any help.