Erratum: Evidence for Macroscopic Quantum Tunneling of Phase Slips in Long One-Dimensional Superconducting Al Wires [Phys. Rev. Lett.97, 017001 (2006)]

Abstract

The definition of GL should read GL =8@=k B T c ÿ T. An inadvertent error in fitting to the magneto resistance of the Al wires led to an underestimate of the wire widths and cross sections [1]. The revised width/cross section for the Al wires s1 (10 m long) and s2 (100 m long) are 11:4 nm=130 nm 2 and 7:5 nm=58 nm 2 , respectively, roughly an increase of 40% in width and factor of 2 in cross section from the previous values. The wire widths have an error of 10%, and the cross section error is 20%. The resultant revised sample parameters are listed in the revised Table I. Note that the wire length L and normal state resistance R N remain unchanged.The dependence of the free-energy barrier F on the cross sectional area A is contained in the quantity L=R N [3], removing any explicit dependence on A. Thus, the revised quantities, including A, are not used in the main analysis and do not affect the main conclusion of the Letter. The only notable effect is that the agreement between the fitted coherence length c and the calculated now occurs at the boundary of the error bars. Note that the error on c is 15%. The fitted values for FH 0; T 0 and c H 0; T 0 (135 nm), combined with the revised A, yield a thermodynamic critical field H th H 0; T 0 0:0096 T (96 Oersted), close to the known value of 0.0105 T (105 Oersted) for bulk aluminum.

Long, Highly-Ordered High-Temperature Superconductor Nanowire Arrays

“…6,7 As shown in Figure 2b,c, a 5-T magnetic field only slightly perturbs the R-T curves of the YBCO NWs. This is because HTS have higher upper critical magnetic fields compared to conventional superconductors and also our NWs have w , λ ∼ 150 nm.…”

“…2,4 This may result in resistive or insulating behaviors for thin (∼10 nm) wires when temperature approaches zero. 1,2 Narrow width (w ∼ 10 nm) nanowires (NWs) made from elemental superconductors 3,[5][6][7] and from the binary alloy MoGe 1,2,8 are all quasi-1D systems, and strong suppression of superconductivity by phase-slip processes has been observed in these systems. The very low T c (typically below liquid helium temperature) limits their potential applications as zero-electrical resistance conductors or active components in nanoelectronic circuits.…”

“…This renders many superconductor NW fabrication methods 1,5,6,14,15 inapplicable, and so little has been reported in this area. Short HTS NWs (w ∼50 nm) have been synthesized, but superconductivity was only tested through magnetization measurements of powders of these materials.…”

“…Figure 2a,b), a significant part of the current is already carried by supercurrent, so the voltage drop across the NWs is much smaller than when the NWs are in the normal state (90 K). Sweeping up from zero current, the V-I relationship in this regime can be modeled with TAPS, 4,6 before the NWs suddenly enter the highly resistive normal state at critical current I c . When the current is swept down, the NWs return to the superconducting state at a lower current level, I r .…”

Achieving the Theoretical Depairing Current Limit in Superconducting Nanomesh Films

“…Consequently, supercurrents in NWs are readily disrupted by transient, local resistive "phase-slip" events due to thermal and quantum fluctuations. 13 As a result, superconductor NWs are characterized by large residual resistance [11][12][13][14][15][16][17][18] for T , T c , and the measured J c is much less than the J dp of corresponding bulk materials. 15,19,20 Here we report on a novel film structure that harnesses the advantages of NWs while circumventing the fluctuation effects characteristic of quasi-1D superconductors.…”