Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-07-14
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Latex, 4 pages, 6 figures
Scientific paper
We study electron pumping through a system of barriers, whose heights are deformed adiabatically. We derive a simple formula for the pumped charge $Q$ in terms of the total reflection and transmission amplitudes and phases. The pumped charge increases with the number of barriers ($n_b$) and shows an interesting step-like behaviour, with the steps appearing at integer values of $Q$. The pumped charge also tends towards quantisation with the increase of the amplitude of the time-varying potential. The value of the quantised pumped charge is shown to be correlated to the discontinuity of the reflection phase.
Banerjee Argha
Das Sourin
Rao Sumathi
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