Quantum interference of surface states in bismuth nanowires probed by the Aharonov-Bohm oscillatory behavior of the magnetoresistance

We report the observation of an oscillatory dependence of the low-temperature resistance of individual single-crystal bismuth nanowires on the Aharonov-Bohm phase of the magnetic flux threading the wire. 55 and 750.3em0exnm wires were investigated in magnetic fields of up to 140.3em0exT. For 550.3em0exnm nanowires, longitudinal magnetoresistance periods of 0.8 and 1.60.3em0exT that were observed at magnetic fields over 40.3em0exT are assigned to $h∕2e$ to $h∕e$ magnetic flux modulation. The same modes of oscillation were observed in 750.3em0exnm wires. The observed effects are consistent with models of the Bi surface where surface states give rise to a significant population of charge carriers of high effective mass that form a highly conducting tube around the nanowire. In the 550.3em0exnm wires, the Fermi energy of the surface band is estimated to be 180.3em0exmeV. An interpretation of the magnetoresistance oscillations in terms of a subband structure in the surface state band caused by quantum interference in the tube is presented.