Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-08-27
Phys. Rev. B. 76, 235316 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages including 5 figures; added some references; this is the published version
Scientific paper
10.1103/PhysRevB.76.235316
Using a tight-binding model, we study one-parameter charge pumping in a one-dimensional system of non-interacting electrons. An oscillating potential is applied at one site while a static potential is applied in a different region. Using Floquet scattering theory, we calculate the current up to second order in the oscillation amplitude and exactly in the oscillation frequency. For low frequency, the charge pumped per cycle is proportional to the frequency and therefore vanishes in the adiabatic limit. If the static potential has a bound state, we find that such a state has a significant effect on the pumped charge if the oscillating potential can excite the bound state into the continuum states or vice versa. Finally, we use the equation of motion for the density matrix to numerically compute the pumped current for any value of the amplitude and frequency. The numerical results confirm the unusual effect of a bound state.
Agarwal Amit
Sen Diptiman
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