TY - JOUR
T1 - Persistent currents of noninteracting electrons in one-, two-, and three-dimensional thin rings
AU - Bary-Soroker, Hamutal
AU - Entin-Wohlman, Ora
AU - Imry, Yoseph
PY - 2010/10/12
Y1 - 2010/10/12
N2 - We thoroughly study the persistent current of noninteracting electrons in one-, two-, and three-dimensional thin rings. We find that the results for noninteracting electrons are more relevant for individual mesoscopic rings than hitherto appreciated. The current is averaged over all configurations of the disorder, whose amount is varied from zero up to the diffusive limit, keeping the product of the Fermi wave number and the ring's circumference constant. Results are given as functions of disorder and aspect ratios of the ring. The magnitude of the disorder-averaged current may be larger than the root-mean-square fluctuations of the current from sample to sample even when the mean-free path is smaller, but not too small, than the circumference of the ring. Then a measurement of the persistent current of a typical sample will be dominated by the magnitude of the disorder-averaged current.
AB - We thoroughly study the persistent current of noninteracting electrons in one-, two-, and three-dimensional thin rings. We find that the results for noninteracting electrons are more relevant for individual mesoscopic rings than hitherto appreciated. The current is averaged over all configurations of the disorder, whose amount is varied from zero up to the diffusive limit, keeping the product of the Fermi wave number and the ring's circumference constant. Results are given as functions of disorder and aspect ratios of the ring. The magnitude of the disorder-averaged current may be larger than the root-mean-square fluctuations of the current from sample to sample even when the mean-free path is smaller, but not too small, than the circumference of the ring. Then a measurement of the persistent current of a typical sample will be dominated by the magnitude of the disorder-averaged current.
UR - http://www.scopus.com/inward/record.url?scp=78049472791&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.82.144202
DO - 10.1103/PhysRevB.82.144202
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AN - SCOPUS:78049472791
VL - 82
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 14
M1 - 144202
ER -