Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-07-24
Phys. Rev. B 68, 155303 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
16 pages, 3 figures, final version to be published at PRB
Scientific paper
10.1103/PhysRevB.68.155303
Quantum pumping in closed systems is considered. We explain that the Kubo formula contains all the physically relevant ingredients for the calculation of the pumped charge ($Q$) within the framework of linear response theory. The relation to the common formulations of adiabatic transport and ``geometric magnetism" is clarified. We distinguish between adiabatic and dissipative contributions to $Q$. On the one hand we observe that adiabatic pumping does not have to be quantized. On the other hand we define circumstances in which quantized adiabatic pumping holds as an approximation. The deviation from exact quantization is related to the Thouless conductance. As an application we discuss the following examples: classical dissipative pumping by conductance control, classical adiabatic (non dissipative) pumping by translation, and quantum pumping in the double barrier model. In the latter context we analyze a 3 site lattice Hamiltonian, which represents the simplest pumping device. We remark on the connection with the popular $S$ matrix formalism which has been used to calculate pumping in open systems.
No associations
LandOfFree
Quantum pumping in closed systems, adiabatic transport, and the Kubo formula does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum pumping in closed systems, adiabatic transport, and the Kubo formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum pumping in closed systems, adiabatic transport, and the Kubo formula will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-367585