Abstract
Quantized current plateaus appear in the I-V characteristics of  turnstile devices realized by modulating the tunnel barriers with a radio frequency (rf) signal of frequency f and phase difference π.  We report two new results. (1) New fine structures resulting from the quantized level spacing Δ E appear. Then, the quantized current flows through the barriers via several excited states of the system with a fixed number of electrons, as the source drain voltage increases. These structures are smeared out when the temperature kBT becomes comparable to Δ E. However the quantized plateaus remain. The quantized plateaus are washed out when kBT becomes comparable to the charging energy e2/C, where C is the capacitance of the dot. (2) When the rf frequency f becomes larger than the leakage current J(f=0)/e, which is the time-averaged current at the frequency f=0, the time-averaged current Jdc is quantized in the adiabatic regime. On the other hand, when f is smaller than J(f=0)/e, Jdc is much larger than the quantized current.