Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-07-23
Phys. Rev. Lett. 100, 236803 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4.1 pages, 1 figure, revised version
Scientific paper
10.1103/PhysRevLett.100.236803
Adiabatic quantum pumping in noninteracting, phase coherent quantum dots is elegantly described by Brouwer's formula. Interactions within the dot, while suppressing phase coherence, make Brouwer's formalism inapplicable. In this paper, we discuss the nature of the physical processes forcing a description of pumping beyond Brouwer's formula, and develop, using a controlled adiabatic expansion, a useful formalism to study the effect of interactions within a generic perturbative scheme. The pumped current consists of a first contribution, analogous to Brouwer's formula and accounting for the remanent coherence, and of interaction corrections describing inelastic scattering. We apply the formalism to study the effect of interaction with a bosonic bath on a resonant level pump and discuss the robustness of the quantization of the pumped charge in turnstile cycles.
Fioretto Davide
Silva Alessandro
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