Experimental determination of tunneling characteristics and dwell times from temperature dependence of Al/Al$_2$O$_3$/Al junctions

Measurements of current-voltage (I-V) characteristics of a high quality Al/Al$_2$O$_3$/Al junction at temperatures ranging from 3.5 K to 300 K have been used to extract the barrier properties. Fitting results using Simmons' model led to a constant value of barrier width $s$$\sim$20.8~$\textrmÅ$ and a continuous increase in the barrier height with decreasing temperature. The latter is used to determine the energy band gap temperature dependence and average phonon frequency $ω$ = 2.05 $\times$ 10$^{13}$ sec$^{-1}$ in Al$_2$O$_3$, which adds confidence to the precision of our measurements. The barrier parameters are used to extract the temperature dependent dwell times in tunneling ($τ_D$ = 3.6 $\times$ 10$^{-16}$ sec at mid-barrier energies) and locate resonances above the barrier.

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