Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2002-10-22
Phys. Rev. B v.68, 033309 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 2 figures
Scientific paper
10.1103/PhysRevB.68.033309
We investigate the Pauli blocking factor in quantum pumps using Floquet formalism. Even though the time dependent potentials in quantum pumping can not only cause inelastic scatterings but also break the micro-reversibility, i.e. $T^+(E',E) \neq T^-(E,E')$, the Pauli blocking factor is unnecessary when the scattering process through the scatterer is coherent. The well defined scattering states extending from one reservoir to the others form a complete non-orthogonal set. Regardless of the non-orthogonality one can obtain the pumped currents using the field operator formalism. The current expression finally obtained do not contain Pauli blocking factor.
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