We report a numerical study on Aharonov-Bohm (AB) effect and giant
magnetoresistance in rectangular rings made of graphene nanoribbons (GNRs). We
show that in low energy regime where only the first subband of contact GNRs
contributes to the transport, the transmission probability can be strongly
modulated, i.e., almost fully suppressed, when tuning a perpendicular magnetic
field. On this basis, strong AB oscillations with giant negative
magnetoresistance can be achieved at room temperature. The magnetoresistance
reaches thousands % in perfect GNR rings and a few hundred % with edge
disordered GNRs. The design rules to observe such strong effects are also
discussed. Our study hence provides guidelines for further investigations of
the AB interference and to obtain high magnetoresistance in graphene devices.Comment: 5 pages, 6 figures, revised for publicatio